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Algebra vocabulary and understanding

1★ What is it? (term, expression, equation, formula or identity?)

1★ What is it? (term, expression, equation, formula or identity?)

Area under a graph

2★ Calculate the area under a speed-time graph (given that the graph is trapezium or rectangular in shape)

2★ Calculate the area under a speed-time graph (given that the graph is trapezium or rectangular in shape)

Solve linear equations (unknown on 1 side, int ans)

1★ Solve a 1 step equation by reversing the addition or subtraction of a constant

1★ Solve a 1 step equation by reversing the addition or subtraction of a constant

Solve linear equations (unknown on 1 side, int ans)

2★ Solve a 1 step equation by reversing a multiplication or division of a constant

2★ Solve a 1 step equation by reversing a multiplication or division of a constant

Solve linear equations (unknown on 1 side, int ans)

3★ Solve a 2 step equation in the form ax+b=c where x has a positive coefficient

3★ Solve a 2 step equation in the form ax+b=c where x has a positive coefficient

Solve linear equations (unknown on 1 side, int ans)

4★ Solve a 2 step equation in the form ax+b=c where x has a negative coefficient

4★ Solve a 2 step equation in the form ax+b=c where x has a negative coefficient

Solve linear equations (unknown both sides)

2★ Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has positive coefficients

2★ Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has positive coefficients

Solve linear equations (unknown both sides)

4★ Solve a linear equation with unknowns on both sides in the form a(x+b)=cx+d

4★ Solve a linear equation with unknowns on both sides in the form a(x+b)=cx+d

Solve a quadratic by using the formula

4★ Use of the discriminant to show how many roots a quadratic has

4★ Use of the discriminant to show how many roots a quadratic has

Use simple function machines

3★ Find the input value of a 2 operation function machine given the output

3★ Find the input value of a 2 operation function machine given the output

Read/Represent inequalities on a number line

1★ Interpreting a not equal to representation from a number line

1★ Interpreting a not equal to representation from a number line

Read/Represent inequalities on a number line

2★ Interpreting an equal to representation from a number line

2★ Interpreting an equal to representation from a number line

Understand linear sequences

2★ Given the first and last term in a small linear sequence, find the missing middle values

2★ Given the first and last term in a small linear sequence, find the missing middle values

Understand geometric sequences

2★ Find the next 2 terms of a geometric sequence (integer common ratio)

2★ Find the next 2 terms of a geometric sequence (integer common ratio)

Solve linear simultaneous equations

2★ Solve 2 simultaneous equations where a term in each equation has a common term but a different sign

2★ Solve 2 simultaneous equations where a term in each equation has a common term but a different sign

Solve non linear simultaneous equations

4★ Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c (integer answers only)

4★ Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c (integer answers only)

Substitute into expressions/formula

1★ Substitute a positive value into an expression that includes only 1 operation

1★ Substitute a positive value into an expression that includes only 1 operation

Substitute into expressions/formula

2★ Substitute a positive value into an expression that includes 2 operations

2★ Substitute a positive value into an expression that includes 2 operations

Commutative, associative and distributive laws

1★ Commutative law involving only addition or multiplication

1★ Commutative law involving only addition or multiplication

Order of operations

1★ Evaluate a simple calculation involving a combination of addition, subtraction, multiplication or division

1★ Evaluate a simple calculation involving a combination of addition, subtraction, multiplication or division

Order of operations

4★ Find the value of a multi-step calculation involving the application of all parts of BIDMAS

4★ Find the value of a multi-step calculation involving the application of all parts of BIDMAS

Use the laws of indices

5★ Harder 3rd index law involving simple algebraic expressions raised to a power

5★ Harder 3rd index law involving simple algebraic expressions raised to a power

Operate in standard form

2★ Add and subtract numbers written in standard form with different powers of 10

2★ Add and subtract numbers written in standard form with different powers of 10

90°, 180°, and 360° angles

4★ Calculate an unknown angle using the fact angles around a point sum to 360°

4★ Calculate an unknown angle using the fact angles around a point sum to 360°

Angles on parallel lines

2★ Application of both angles on parallel lines and angles on a straight line

2★ Application of both angles on parallel lines and angles on a straight line

Area of composite shapes

3★ Calculate the area of a compound shape made from combining a triangle and a rectangle

3★ Calculate the area of a compound shape made from combining a triangle and a rectangle

Area of composite shapes

4★ Calculate the area of a compound shape made from combining a triangle and a semi circle

4★ Calculate the area of a compound shape made from combining a triangle and a semi circle

List outcomes

3★ Given a menu options for 3 courses, create a sample space diagram to show all possible outcomes of selecting 2 courses

3★ Given a menu options for 3 courses, create a sample space diagram to show all possible outcomes of selecting 2 courses

Calculate simple probabilities

4★ Calculate the probability of an event given a simple sample space diagram showing all possible outcomes from 2 events

4★ Calculate the probability of an event given a simple sample space diagram showing all possible outcomes from 2 events

Calculate simple probabilities

5★ Calculate the probability of an event from a sample space diagram showing all possible outcomes from 2 events

5★ Calculate the probability of an event from a sample space diagram showing all possible outcomes from 2 events

Probabilities of independent events

1★ Calculate a probability given a complete tree diagram for 2 events - AND style questions

1★ Calculate a probability given a complete tree diagram for 2 events - AND style questions

Probabilities of independent events

2★ Calculate a probability given an incomplete tree diagram for 2 events - AND style questions

2★ Calculate a probability given an incomplete tree diagram for 2 events - AND style questions

Probabilities of independent events

4★ Calulate a probability of 2 events where you can only have 1 of each - OR style questions

4★ Calulate a probability of 2 events where you can only have 1 of each - OR style questions

Probabilities of independent events

5★ Calculate a probability of 2 events for AT LEAST style questions

5★ Calculate a probability of 2 events for AT LEAST style questions

Probabilities of dependent events

1★ Calculate a probability given a complete tree diagram for 2 events - AND style questions

1★ Calculate a probability given a complete tree diagram for 2 events - AND style questions

Currency conversion

2★ Given the currency conversion ratio, convert pounds into another currency (£1:...)

2★ Given the currency conversion ratio, convert pounds into another currency (£1:...)

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Algebra vocabulary and understanding - 2★ Is it an equation or an identity?

Algebra vocabulary and understanding - 3★ Product of two brackets equating coefficients (quadratics)

Algebra vocabulary and understanding - 4★ Equating coefficients (inc. factorising)

Algebra vocabulary and understanding - 5★ Equating coefficients (inc. completing the square)

Algebra vocabulary and understanding - 6★ Equating coefficients (inc. completing the square) - harder

Algebraic proof - 1★ Provide a counterexample to disprove a statement

Algebraic proof - 2★ Show a simple identity by expanding a linear expression is true

Algebraic proof - 3★ Show that an identity involving a product of two linear expressions is true

Algebraic proof - 4★ Show that an expression is even, odd, multiple of or factor of a number

Algebraic proof - 5★ Show that a harder expression is a even, odd, multiple of or factor of a number

Simplify an expression - 6★ Find the perimeter of a shape with linear expressions as the lengths of the sides

Algebraic fractions - 1★ Simplify

Algebraic fractions - 2★ Add or subtract fractions

Algebraic fractions - 3★ Simplify a fraction by factorising

Algebraic fractions - 4★ Multiply or divide

Algebraic fractions - 5★ Add or subtract fractions with linear denominator expressions

Algebraic fractions - 6★ Solve algebraic fractional equations (integer solutions)

Change the subject - 3★ Rearrange a formula involving a fraction

Change the subject - 4★ Rearrange a formula involving powers or roots

Change the subject - 5★ Rearrange common formula

Change the subject - 6★ Rearrange a formula where the subject appears more than once

Identify coordinates in all 4 quadrants - 5★ Identify a coordinate to complete a shape

Find and use y = a, x = a and y = x - 2★ Sketch the graph from the equation (integer intercepts)

Find and use y = a, x = a and y = x - 3★ Sketch the graph from the equation (decimal intercepts)

Find and use y = a, x = a and y = x - 4★ Where does x = a and y = b meet?

Find and use y = a, x = a and y = x - 5★ Does the point lie on the line?

Find y = mx + c from a graph - 1★ Find the y-intercept

Find y = mx + c from a graph - 2★ Calculate the gradient where Δx is 1

Find y = mx + c from a graph - 3★ Calculate a positive gradient where Δx is not 1

Find y = mx + c from a graph - 4★ Calculate a negative gradient where Δx is not 1

Find y = mx + c from a graph - 5★ Finding gradient from a graph

Find y = mx + c from a graph - 6★ Finding y=mx+c from a graph

Rearranging into the form y = mx + c - 1★ Interpret the gradient or y-intercept from y = mx + c

Rearranging into the form y = mx + c - 2★ Rearrange ax + by = c into the form y = mx + c and interpret the gradient or y-intercept (integer values only)

Rearranging into the form y = mx + c - 3★ Rearrange ax + by = c into y = mx + c and interpret the gradient or y-intercept

Using and exploring y = mx + c - 1★ Complete a table of coordinate pairs (find y coordinates)

Using and exploring y = mx + c - 2★ Complete a table of coordinate pairs (find x or y coordinates)

Using and exploring y = mx + c - 3★ Find the y-intercept given the gradient and a coordinate

Using and exploring y = mx + c - 4★ State the equation of a line given the gradient and a coordinate

Using and exploring y = mx + c - 5★ Calculate the gradient given 2 coordinates

Using and exploring y = mx + c - 6★ State the equation of a line given 2 coordinate pairs

Find the equation of a parallel line - 1★ Given coordinates for two lines, determine if they are parallel

Find the equation of a parallel line - 2★ Write down the equation of a line parallel to y=mx+c

Find the equation of a parallel line - 3★ Given 2 linear equations, determine if they are parallel

Find the equation of a parallel line - 4★ Write the linear equation of a line parallel to y=mx+c that passes through (a,b)

Find the equation of a parallel line - 5★ Given the equation of a line and the horizontal distance between this and a parallel line, find the equation of the parallel line

Find the equation of a perpendicular line - 2★ Given two pairs of coordinates from two straight lines, determine if they are perpendicular

Find the equation of a perpendicular line - 3★ Write down a linear equation that is perpendicular to y=mx+c

Find the equation of a perpendicular line - 4★ Given 2 linear equations, prove they are perpendicular to eachother

Find the equation of a perpendicular line - 5★ Given 2 linear equations, determine if they are perpendicular

Find the equation of a perpendicular line - 6★ Write the linear equation of a line perpendicular to y=mx+c that passes through (a,b)

Equation of a tangent to a circle - 1★ Write the perpendicular gradient to a given gradient

Equation of a tangent to a circle - 2★ State the gradient of a tangent given the gradient of the radius

Equation of a tangent to a circle - 3★ Find the equation of the tangent given the equation of the radius and coordinates of tangent intersection with the radius on the circumference of the circle

Equation of a tangent to a circle - 4★ Find the equation of the tangent given equation of circle and coordinates of the intersection with the tangent and the radius on the circumference of the circle

Equation of a tangent to a circle - 5★ Find the equation of the tangent given the equation of the circle and the x-coordinate of the intersection with the tangent and the radius on the circumference of the circle

Equation of a tangent to a circle - 6★ Problem solving - e.g. find the area bounded by the axes and the tangent to a circle

Graphical solutions of equations - 1★ Use a graph to solve when x=a and y=b

Graphical solutions of equations - 2★ Use a graph to solve when x=a/y=b and y=mx+c

Graphical solutions of equations - 3★ Use a graph to solve when y=ax+b and y=cx+d

Graphical solutions of equations - 4★ Use a graph to show why there no solution to two linear equations - they are parallel

Graphical solutions of equations - 5★ Use a graph to solve when a quadratic and linear equation

Quadratic and cubic functions - 1★ Complete a table of coordinate pairs for simple quadratics y=x^2 or cubics y=x^3

Quadratic and cubic functions - 2★ Complete a table of coordinate pairs for quadratics y=x^2+bx+c or cubics y=x^3 + bx^2 + d

Quadratic and cubic functions - 3★ Draw a quadratic y=ax^2+c or cubic y=ax^3 + cx function

Quadratic and cubic functions - 4★ Given a quadratic and cubic, identify the equation from a given graph

Quadratic and cubic functions - 5★ Given a quadratic or cubic graph, find x or y estimates from the graph

Equation of a circle - 1★ State the radius or the coordinates of the centre point given the equation of a circle

Equation of a circle - 2★ Given the centre and radius state the equation of the circle

Equation of a circle - 3★ Draw a circle with specific equation

Equation of a circle - 4★ State the equation of a circle given its graph

Equation of a circle - 5★ Does a coordinate lie on the circle given the centre and radius of the circle

Equation of a circle - 6★ Problem solving - e.g. given the two points on the diameter of a circles circumference, find the equation of the circle with centre (0,0)

Area under a graph - 3★ Calculate the y-axis scale given a speed-time graph and the area under the graph

Area under a graph - 4★ Estimate the area under a graph (quadratic)

Area under a graph - 5★ Given a curve, determine if the estimate for the area under the curve is an under or over estimate

Area under a graph - 6★ Given a curve, calculate the area under the curve when it includes calculating negative areas (dependent on context)

Reciprocal functions - 1★ Complete a table of coordinate pairs given a domain of values

Reciprocal functions - 2★ Draw an reciprocal function given the equation and domain

Reciprocal functions - 3★ Given a reciprocal and exponential function, identify the equation of a given graph

Reciprocal functions - 4★ Given a reciprocal graph, find x or y estimates from the graph

Reciprocal functions - 5★ Identify asymptotes of a reciprocal function given its graph

Exponential functions - 1★ Complete a table of coordinate pairs given a domain of values

Exponential functions - 2★ Draw an exponential function given the equation and domain

Exponential functions - 3★ Given a reciprocal and exponential function, identify the equation of a given graph

Exponential functions - 4★ Given an exponential graph, find x or y estimates from the graph

Exponential functions - 5★ Use a graph to solve exponential equations in the form a^x=b

Trigonometry graphs - 1★ Given a trigonometry graph, identify whether it is the sin, cos and tan graph

Trigonometry graphs - 2★ Identify specific coordinates on a sin, cos or tan graph

Trigonometry graphs - 3★ Sketch y=sinx, y=cosx or y=tanx for a given domain

Trigonometry graphs - 4★ Using the graph of y=sinx, y=cosx or y=tanx and 1 solution to a given equation for the same function, find another solution using the graph

Trigonometry graphs - 5★ Given a solution to sinx=a, cosx=a or tanx=a, find another solution without the aid of a graph

Solve linear equations (unknown on 1 side, int ans) - 6★ Problem solving

Solve linear equations (unknown on 1 side, dec ans) - 1★ Solve a 1 step equation by reversing the addition or subtraction of a constant

Solve linear equations (unknown on 1 side, dec ans) - 2★ Solve a 1 step equation by reversing a multiplication or division of a constant

Solve linear equations (unknown on 1 side, dec ans) - 3★ Solve a 2 step equation in the form ax+b=c where x has a positive coefficient

Solve linear equations (unknown on 1 side, dec ans) - 4★ Solve a 2 step equation in the form ax+b=c where x has a negative coefficient

Solve linear equations (unknown on 1 side, dec ans) - 5★ Solve a linear equation in the form a(x+b)=c

Solve linear equations (unknown both sides) - 1★ Solve a linear equation with the unknown on both sides in the form ax=bx+c

Solve linear equations (unknown both sides) - 3★ Solve a linear equation with unknowns on both sides in the form ax+b=cx+d where x has negative coefficients

Solve linear equations (unknown both sides) - 5★ Solve a 'I think of a number' problem where the unknown number appears on both sides of a linear equation

Solve linear equations (unknown both sides) - 6★ Problem solving, e.g. opposite sides of a rectangle are given as linear expressions and need to solve for an unknown

Solve linear equations with brackets - 1★ Solve linear equation in the form a(x+b)=c

Solve linear equations with brackets - 2★ Solve an equation involving the collection of like terms when finding the sum or difference of two linear expressions involving brackets

Solve linear equations with brackets - 3★ Solve a linear equation in the form a(bx+c)=dx+e

Solve linear equations with brackets - 4★ Solve a linear equation in the form a(bx+c)=dx+e where the multiplier of the bracket is a unit fraction

Solve linear equations with brackets - 5★ Solve a linear equation involving the expansion of brackets on both sides of the equals sign

Solve linear equations with brackets - 6★ Solve a linear equation involving multiple expansion of brackets

Solve rational equations - 1★ Solve a linear rational equation in the form ax/b=c

Solve rational equations - 2★ Solve a linear rational equation in the form (ax+b)/c=d

Solve rational equations - 3★ Solve a linear rational equation in the form (ax+b)/(cx+d)=e

Solve rational equations - 4★ Solve a linear equation with fractional expressions on each side of the equals

Solve rational equations - 5★ Solve a linear rational equation where you have the sum or difference of two fractional expressions

Solve rational equations - 6★ Solve a rational equation involving the sum or difference of two linear equations, that leads to solving a quadratic equation

Expand over a single bracket - 2★ Expand a(bx+c)

Expand over a single bracket - 4★ Expand ax(bx+c)

Expand over a single bracket - 5★ Expand the sum or difference of two linear brackets and simplify

Expand over a single bracket - 6★ Given a linear identity in the form a(bx+c)=dx+e, identify unknown values where 1 letter is not given on each side

Expand 2 or more binomials - 3★ Expand (x+a)(x-a)

Expand 2 or more binomials - 4★ Expand (ax±b)(cx±d)

Expand 2 or more binomials - 5★ Expand the product of 2 quadratic or cubic expressions

Expand 2 or more binomials - 6★ Expand the product of 3 linear expressions

Factorise a simple expression - 2★ Factorise a quadratic expression ax^2±bx

Factorise a simple expression - 3★ Factorise a quadratic expression ax^2±bx with a expression common factor

Factorise a simple expression - 4★ Can a quadratic in the form ax^2±bx be factorised?

Factorise a simple expression - 5★ Problem solving, e.g. find the sides of a rectangle given a quadratic that represents the area

Factorise a simple expression - 6★ Fully factorise a linear expression by combining a sum of 2 terms where 1 is partially factorised

Factorise a quadratic expression - 5★ Factorise a quadratic resulting in (ax + b)(x + c)

Factorise a quadratic expression - 6★ Factorise a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

Solve a quadratic by factorising - 3★ Solve a quadratic resulting in (x - a)(x - b)

Solve a quadratic by factorising - 4★ Solve a quadratic resulting in (x + a)(x - a)

Solve a quadratic by factorising - 5★ Solve a quadratic resulting in (ax + b)(x + c)

Solve a quadratic by factorising - 6★ Solve a quadratic resulting in (ax + b)(c - dx) or (ax + b)(cx + d)

Solving quadratics in disguise - 1★ Solve like a quadratic x^(2n)±bx^n+c where n>1

Solving quadratics in disguise - 2★ Solving like a quadatic involving a rearrangement e.g. x^(2n)=bx^n+c where n>1

Solving quadratics in disguise - 3★ Solve like a quadratic involving fractional powers e.g. x^(1/n)+bx^(1/2n)=c

Solving quadratics in disguise - 4★ Solve like a quadratic involving variable as a power

Solving quadratics in disguise - 5★ Solve like a quadratic involving trigonometric equations

Complete the square - 1★ Completing the square (x+a)^2+b where b>0

Complete the square - 3★ Completing the square of x^2+bn+c where b is divisible by 2

Complete the square - 4★ Completing the square x^2+bn+c where b is not divisible by 2

Complete the square - 5★ Find the minimum point of a quadratic function by completing the square

Complete the square - 6★ Identify the translation of a function given it is based on f(x)=x^2

Solve a quadratic by completing the square - 1★ Solve by completing the square given part of the working

Solve a quadratic by completing the square - 2★ Solve by completing the square given part of the working

Solve a quadratic by completing the square - 3★ Solve by completing the square of x^2+bn+c where b is divisible by 2

Solve a quadratic by completing the square - 4★ Solve by completing the square of x^2+bn+c where b is not divisible by 2

Solve a quadratic by completing the square - 5★ Solve by completing the square ax^2+bx+c where a>0

Solve a quadratic by completing the square - 6★ Solve by completing the square ax^2+bx+c

Solve a quadratic by using the formula - 1★ Substituting positive numbers into the quadratic formula

Solve a quadratic by using the formula - 2★ Substituting any numbers into the quadratic formula

Solve a quadratic by using the formula - 3★ Given that numbers were correctly substituted into the quadratic formula state the quadratic equation

Solve a quadratic by using the formula - 5★ Solve a quadratic using the quadratic formula

Graph transformations - 1★ Describe a quadratic graph transformation in words

Graph transformations - 2★ Describe the effect of a transformation on a single point on a quadratic function

Graph transformations - 3★ Given f(x)=x^2, state the equation of a transformation of f(x)

Graph transformations - 4★ Given the transformed function of f(x)=x^2, draw it alongside f(x)

Graph transformations - 5★ Describe the effect of a transformation on a single point on a trig graph

Graph transformations - 6★ Draw/Identify a trig graph transformation

Use simple function machines - 1★ Substitute an input value into a single operation function machine

Use simple function machines - 2★ Substitute an input value into a 2 operation function machine

Use simple function machines - 4★ Calculate the missing operation in a 2 operation function machine given the input and output values

Use simple function machines - 5★ Write an expression to represent the output of a 2 operation function machine given the input is x

Use simple function machines - 6★ Calculate the missing operation of a 2 operation function machine given the input is x and the output is in the form ax+b

Identify domain and range - 1★ Identify the range of f(x)=ax given the domain

Identify domain and range - 2★ Find the corresponding domain or range values given f(x)=ax

Identify domain and range - 3★ Find the range of f(x)=ax+b

Identify domain and range - 4★ Find the corresponding domain or range values given f(x)=ax+b

Identify domain and range - 5★ Find the domain of f(x)=ax+b given a range in set notation

Identify domain and range - 6★ Find the values of f(x) for which is it is undefined

Use composite functions - 2★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=cx+d

Use composite functions - 3★ Find gf(x) or fg(x) for a given value knowing that f(x)=ax+b and g(x)=x^2+c

Use composite functions - 4★ Find fg(x) for a given value knowing that f(x)=ax^2+bx+c and g(x)=dx+e

Use composite functions - 5★ Problem solving e.g. find fg(x)=gf(x) where f(x)=x^2+bx+c and g(x)=x+d

Iterations - 1★ Given a1 and a(n+1)=ba(n)+c, find a2

Iterations - 2★ Given a1 and a(n+1)=ba(n)+c, find a3 or a4

Iterations - 3★ Real world problem where an iterative formula and a0 is given

Iterations - 4★ Given x0 and an iterative formula derived from a rearranged cubic, find x3

Iterations - 5★ Show that a cubic equation can be rearranged to a given iterative form

Iterations - 6★ Show that a cubic equation as a solution between a given ratio

Inverse functions - 1★ Rearrange a function involving only 1 operation (addition, subtraction, multiplication or division)

Inverse functions - 2★ Rearrange a function involving 2 operations

Inverse functions - 3★ Rearrange a function that is fractional

Inverse functions - 4★ Rearrange a function involving powers

Inverse functions - 5★ Rearrange a quadratic function that first involves completing the square

Read/Represent inequalities on a number line - 3★ Interpret any inequality from a number line

Read/Represent inequalities on a number line - 4★ Represent a given inequality on a number line

Read/Represent inequalities on a number line - 5★ Interpret a compound inequality from a number line

Read/Represent inequalities on a number line - 6★ Represent a compound inequality on a number line

Solve linear inequalities - 1★ Solve a 1 step inequality by reversing the addition or subtraction of a constant

Solve linear inequalities - 2★ Solve a 1 step inequality by reversing the multiplication or division of a constant

Solve linear inequalities - 3★ Solve a 2 step inequality where x has a positive coefficient

Solve linear inequalities - 5★ Solve a 2 step inequality where x has a negative coefficient

Solve linear inequalities - 6★ Solve a compound inequality in the form of a<bx+c<d

Graphical inequalities - 1★ Identify the single linear inequality from a graph in the form x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h

Graphical inequalities - 2★ Sketch the single linear inequality on a graph in the form x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h

Graphical inequalities - 3★ Given a graph, identify the 4 inequalities that bound a rectangular region using x<a, x>b, y<c, y>d, x≤e, x≥f, y≤g or y≥h

Graphical inequalities - 4★ Identify the 3 inequalities that bound a given region including y-x>a

Graphical inequalities - 5★ State the coordinates of points that satisfy a given region bounded by 3 inequalities

Solve quadratic inequalities - 1★ Graphically solve a quadratic inequality in the form x^2±a<0 or x^2±a>0

Solve quadratic inequalities - 2★ Graphically solve a quadratic inequality in the form x^2±a≤0 or x^2±a≥0

Solve quadratic inequalities - 3★ Solve a quadratic inequality x^2±a<0, x^2±a>0, x^2±a≤0 or x^2±a≥0

Solve quadratic inequalities - 4★ Solve a quadratic inequality x^2±bx±c<0, x^2±bx±c>0, x^2±bx±c≤0 or x^2±bx±c≥0

Solve quadratic inequalities - 5★ Solve a quadratic inequality ax^2±bx±c<0, ax^2±bx±c>0, ax^2±bx±c≤0 or ax^2±bx±c≥0

Solve quadratic inequalities - 6★ Solve a quadratic inequality (where a is not 1) that first involves a rearrangement

Recognise common sequences - 3★ Continue a square or triangular sequence for the next two terms

Recognise common sequences - 4★ Continue a Fibonacci sequence for the next two terms

Recognise common sequences - 5★ Continue a periodic sequence for the next two terms

Recognise common sequences - 6★ Continue a fractional sequence for the next two terms where the numerators and denominators each follow a linear sequence

Understand linear sequences - 1★ Continue a linear sequence for the next two terms

Understand linear sequences - 5★ Given a number and the first 4 terms of a linear sequence, determine if the number is part of the sequence

Understand linear sequences - 6★ Given 2nd and 4th term of a linear sequence find 100th term

Understand geometric sequences - 1★ Determine if a given sequence is geometric, if not, state the name of the sequence family

Understand geometric sequences - 3★ Find the next 2 terms of a geometric sequence (decimal common ratio)

Understand geometric sequences - 4★ Given the first term and common ratio, find the first 3 terms of a geometric sequence

Understand geometric sequences - 5★ Given an algebraic term to term rule and the first term, find a specific term in a geometric sequence

Understand geometric sequences - 6★ Problem solving, e.g. given the 2nd and 4th term of a geometric sequence, find the 10th term

Algebraic sequences - 1★ Continue an algebraic sequence that is based on an arithmetic or Fibonacci sequence

Algebraic sequences - 2★ Continue an algebraic sequence that is based on a geometric sequence

Algebraic sequences - 3★ Show that the sixth term of an algebraic sequence is a given expression

Algebraic sequences - 4★ Find the nth term of an arithmetic algebraic sequence

Algebraic sequences - 5★ Given the value of 2 terms and the first 3 terms of an arithmetic algebraic sequence, find the unknowns in the sequence

Understand quadratic sequences - 1★ Continue a quadratic sequence for the next two terms

Understand quadratic sequences - 2★ Write the first 4 terms a quadratic sequence given the nth term rule in the form of n^2+bn+c

Understand quadratic sequences - 3★ Find the nth term rule of a quadratic sequence based on an^2

Understand quadratic sequences - 4★ Find the nth term rule of a quadratic sequence based on n^2+bn+c

Understand quadratic sequences - 5★ Find the nth term rule of a quadratic sequence based on an^2+bn+c

Understand quadratic sequences - 6★ Use the nth term rule of a quadratic sequence based on an^2+bn+c to find a specific term

Solve linear simultaneous equations - 1★ Solve 2 simultaneous equations where a term in each equation has a common coefficient

Solve linear simultaneous equations - 3★ Solve 2 simultaneous equations where all coefficients are different

Solve linear simultaneous equations - 4★ Solve a word problem that involves the creation and solving of 2 simultaneous equations

Solve linear simultaneous equations - 5★ Solve 2 simultaneous equations that first involves rearranging one or both of the 2 given equations

Solve linear simultaneous equations - 6★ Form and solve 2 simultaneous equations in other Maths topics

Solve non linear simultaneous equations - 1★ Simultaneously solve a quadratic in the form of y=x^2 and a linear equation in the form y=ax+b

Solve non linear simultaneous equations - 2★ Simultaneously solve a quadratic in the form of y=x^2±bx±c and a linear equation in the form y=ax+b

Solve non linear simultaneous equations - 3★ Simultaneously solve a reciprocal equation in the form of xy=±c and a linear equation in the form y=ax+b

Solve non linear simultaneous equations - 5★ Simultaneously solve a circle equation in the form of x^2+y^2=c and a linear equation in the form x+y=c

Substitute into expressions/formula - 3★ Substitute negative values into an expression involving 2 variables

Substitute into expressions/formula - 4★ Substitute values into a simple quadratic expression

Substitute into expressions/formula - 5★ Substitute values into common formulae

Substitute into expressions/formula - 6★ Substitute values into a linear function f(x)

Form expressions and equations - 1★ Create a simple expression in the form x±a or ax based on a word problem

Form expressions and equations - 2★ Create an expression to represent a word problem based I think of a number

Form expressions and equations - 3★ Create a rational expression to represent a word problem based I think of a number

Form expressions and equations - 4★ Create an expression based on a word problem, e.g. find the sum of 3 algebraic ages

Form expressions and equations - 5★ Form and solve an equation with unknowns on both sides

Form expressions and equations - 6★ Create a formula to represent the perimeter of a shape

Data handling cycle - 1★ Understanding the 4 steps of the data handling cycle

Data handling cycle - 2★ Determine if a given hypothesis is testable and is not opinion based

Data handling cycle - 3★ Identify the given type of data

Data handling cycle - 4★ Identify qualities of a good or bad survey question

Data handling cycle - 5★ Identify the type of sampling being used (quota/convenience/stratified/cluster/systematic)

Data handling cycle - 6★ Identify causes of bias and how a sample can be improved

Calculate a stratified sample - 1★ Find a stratified sample

Calculate a stratified sample - 2★ Find the total frequency given the stratified sample

Two-way tables - 1★ Create a simple two-way table from images

Two-way tables - 2★ Find totals from a two-way table

Two-way tables - 3★ Complete missing values in a two-way table

Two-way tables - 4★ Calculate probabilities or fractions of amount from a two-way table

Two-way tables - 5★ Given a word problem, create and interpret a two-way table

Two-way tables - 6★ Multi-skill problem solving by creating and interpreting a two-way table, including ratios or percentages

Calculate averages from a list - 4★ Calculate the mean

Calculate averages from a list - 5★ Calculate a missing value given the mean and the other values

Calculate averages from a list - 6★ Write 4 numbers with a given mean, mode, median and range

Calculate quartiles from a list - 1★ Calculate IQR (easy ordered list)

Calculate quartiles from a list - 2★ Calculate IQR (unordered list with easy quartiles)

Calculate quartiles from a list - 3★ Calculate IQR (unordered list with half position values)

Calculate quartiles from a list - 4★ Calculate IQR (unordered list of decimals)

Calculate quartiles from a list - 5★ IQR from a stem and leaf diagram

Calculate quartiles from a list - 6★ Given the IQR and range find unknown values in a list of data

Which average should you use? - 1★ Which average gives the best or worst result?

Which average should you use? - 2★ State advantages or disadvantages of a specific type of average

Which average should you use? - 3★ Given a data set, decide which average is best to use to represent the data

Calculate the mode/mean from a frequency table - 4★ Calculate an estimate of the mean from a grouped frequency table

Calculate the mode/mean from a frequency table - 5★ Calculate a missing score given the mean from a frequency table

Calculate the mode/mean from a frequency table - 6★ Calculate a missing frequency given the mean from a frequency table

Calculate the median/IQR from a frequency table - 1★ Calculate the median from a frequency table

Calculate the median/IQR from a frequency table - 2★ Identify the interval that contains the median from a grouped frequency table

Calculate the median/IQR from a frequency table - 3★ Use linear interpolation to find the median (always the midpoint of the interval) from a grouped frequency table

Calculate the median/IQR from a frequency table - 4★ Use linear interpolation to find the median (never the midpoint of the interval) from a grouped frequency table

Calculate the median/IQR from a frequency table - 5★ Find the interquartile range from a grouped frequency table

Stem and leaf diagrams - 1★ Draw a stem and leaf diagram from an unordered list of data containing integers

Stem and leaf diagrams - 2★ Draw a stem and leaf diagram from an unordered list of data containing decimals

Stem and leaf diagrams - 3★ Interpret a stem and leaf diagram, e.g. what fraction were under a specific score?

Stem and leaf diagrams - 4★ Find averages and range from a stem and leaf diagram

Stem and leaf diagrams - 5★ Adding data to a stem and leaf and analysing the effects on statistical measures

Stem and leaf diagrams - 6★ Analysing a back to back stem and leaf diagram

Draw/Interpret a frequency polygon - 1★ Draw a frequency polygon from a grouped frequency table

Draw/Interpret a frequency polygon - 2★ Interpret probabilities of events from a frequency polygon

Draw/Interpret a frequency polygon - 3★ Interpret the mean from a frequency polygon

Draw/Interpret a frequency polygon - 4★ Draw comparisons between 2 frequency polygons drawn on the same axes

Draw/Interpret cumulative frequency - 1★ Construct a cumulative frequency table

Draw/Interpret cumulative frequency - 2★ Construct a cumulative frequency table from a graph

Draw/Interpret cumulative frequency - 3★ Estimate a median from a cumulative frequency graph

Draw/Interpret cumulative frequency - 4★ Estimate the interquartile range from a cumulative frequency graph

Draw/Interpret cumulative frequency - 5★ Estimate the number of people that scored more or less than an amount from a cumulative frequency graph

Draw/Interpret a box plot - 1★ Draw a box plot given 5 point summary

Draw/Interpret a box plot - 2★ Draw a box plot from a cumulative frequency diagram

Draw/Interpret a box plot - 3★ Draw a box plot given some information given key statistical measures about a list of data

Draw/Interpret a box plot - 4★ Analyze a given box plots

Draw/Interpret a box plot - 5★ Calculate median, inter-quartile range or range from a box plot

Draw/Interpret a box plot - 6★ Make comparisons between 2 box plots drawn on the same number line

Draw/Interpret a bar chart - 1★ Create a tally chart from a list of data

Draw/Interpret a bar chart - 2★ Given a tally chart, interpret key measures from the chart

Draw/Interpret a bar chart - 3★ Draw a bar chart from a frequency table

Draw/Interpret a bar chart - 4★ Interpret least/most common or frequency from a bar chart

Draw/Interpret a bar chart - 5★ Draw a bar chart given a word problem that requires problem solving

Draw/Interpret a composite bar chart - 1★ Analyse a composite bar chart

Draw/Interpret a composite bar chart - 2★ Draw a composite bar chart given a two way table

Draw/Interpret a composite bar chart - 3★ Interpret proportions from a composite bar chart

Draw/Interpret a histogram - 1★ Complete a frequency density column given a grouped frequency table

Draw/Interpret a histogram - 2★ Complete missing values in a grouped frequency table including frequency density column and frequency values

Draw/Interpret a histogram - 4★ Estimate how many got greater than a score from a grouped frequency table

Draw/Interpret a histogram - 5★ Construct a frequency table from a histogram

Draw/Interpret a histogram - 6★ Given the frequency of one interval represented by a histogram, complete a frequency table to represent all other intervals

Construct a pictogram - 1★ Given a pictogram, identify least/most common or total (involving frequencies that require only whole diagrams)

Construct a pictogram - 2★ Given a pictogram, identify least/most common or total (involving frequencies that require half a diagram)

Construct a pictogram - 3★ Given a pictogram, find the frequency of a category or total frequency

Construct a pictogram - 5★ Draw a pictogram (involving frequencies that require half a diagram)

Construct a pictogram - 6★ Given a pictogram, find the percentage who answered a category

Construct a pie chart - 1★ Draw a pie chart (total freq 360 with categories having a frequency that is a factor of 360)

Construct a pie chart - 2★ Draw a pie chart (total frequency is 90 or 180)

Construct a pie chart - 3★ Draw a pie chart (total frequency is a factor of 360)

Construct a pie chart - 4★ Calculate the angles needed to construct a pie chart (total frequency is not a factor of 360)

Construct a pie chart - 5★ Draw a pie chart (total frequency is not a factor of 360)

Construct a pie chart - 6★ Draw a pie chart where the total frequency is given but the category frequencies are expressions in terms of x

Interpret a pie chart - 1★ Find the mode from a given pie chart

Interpret a pie chart - 2★ Calculate the fraction represented by a sector on a given pie chart

Interpret a pie chart - 3★ Given a pie chart and the frequency of a sector, calculate total frequency

Interpret a pie chart - 4★ Given a pie chart and the percentage represented by 2 sectors and the total, calculate the frequency of a third sector

Draw/Interpret a scatter graph - 1★ Plot a scatter diagram from a given table

Draw/Interpret a scatter graph - 2★ Describe the correlation represented in a scatter graph

Draw/Interpret a scatter graph - 3★ Draw a line of best fit on a given scatter graph

Draw/Interpret a scatter graph - 4★ Estimate from a line of best fit on a scatter graph

Draw/Interpret a scatter graph - 5★ Identify anomalies from a given scatter graph

PMCC and regression line - 1★ Comment on the correlation shown in a given scatter graph

PMCC and regression line - 2★ Find the PMCC from table

PMCC and regression line - 3★ Interpret the meaning of the PMCC value in a given context

PMCC and regression line - 4★ Calculate the regression line equation from a given table

PMCC and regression line - 5★ Interpolate/extrapolate using a regression line equation formed from a given table

PMCC and regression line - 6★ Limitations of using a regression line given a scatter graph

Standard deviation - 1★ Substitute given values into standard deviation formula

Standard deviation - 2★ Find the standard deviation from a sample list of data

Standard deviation - 3★ Find the standard deviation from population list of data

Standard deviation - 4★ Given the standard deviation from 2 experiments, comment on the results

Standard deviation - 5★ Calculate the percentage of data within 1 standard deviation of the mean

Standard deviation - 6★ Find the standard deviation from a frequency table

Normal distribution - 1★ Calculate the z-score given a value, µ and the standard deviation

Normal distribution - 2★ Find P(X < ?) where Z > 0

Normal distribution - 3★ Find P(X < ?) or P(X > ?) where Z < 0

Normal distribution - 4★ Find P(a < X < b)

Normal distribution - 5★ Find X where Y% are less than X

Normal distribution - 6★ Find µ given P(X < x)

Confidence intervals - 1★ Use standard error of the mean to find the P(Z < ?)

Confidence intervals - 2★ Find a z-score given a percentage confidence interval

Confidence intervals - 3★ Construct a confidence interval given a sample

Confidence intervals - 4★ Construct a confidence interval given a different confidence interval of the same sample

Facebook maths - 1★ A look repetitive question involving the same number but different operations that focuses on the use of BIDMAS

Facebook maths - 2★ Solving simultaneous equations but depicted as fruit

Facebook maths - 3★ Order of operation circles

Place value - 1★ Interpret the blocks

Place value - 2★ Read the place value of a digit in a given integer

Place value - 4★ Read the place value of a digit within a given decimal

Place value - 5★ Convert a number described in words into a numerical form

Place value - 6★ Convert numbers into words

Times tables - 1★ 2, 5 and 10 times tables

Times tables - 2★ First half of 3 and 4 times tables

Times tables - 3★ Second half of 3 and 4 times tables

Times tables - 4★ 6 and first half of 8 times tables

Times tables - 5★ Second half of 8 times tables

Times tables - 6★ 7, 9, 11 and 12 times tables

Commutative, associative and distributive laws - 2★ Commutative law involving a combination of addition and multiplication

Commutative, associative and distributive laws - 3★ Associative law

Commutative, associative and distributive laws - 4★ Distributive law

Commutative, associative and distributive laws - 5★ Identify which number law is being shown

Commutative, associative and distributive laws - 6★ Evaluate calculations based on the use of the number laws

Factors and multiples - 4★ Find the HCF or LCM of 2 numbers

Factors and multiples - 5★ Find the HCF or LCM of 3 numbers

Factors and multiples - 6★ Find a second number given 1 number and their LCM

Prime factors - 6★ Problem solving, e.g. given a number written as a product of its prime factors, find a multiple of this number written as prime factors

Order of operations - 5★ Find the value of a fractional calculation with steps to evaluate in both the numerator and denominator

Order of operations - 6★ Insert brackets into a calculation to make it true

Interpret fractions - 2★ Shade a unit fraction of a diagram

Interpret fractions - 3★ Read simple fractions from a diagram

Interpret fractions - 4★ Represent simple fractions on a diagram

Interpret fractions - 5★ Understanding equivalences from shaded rows or columns of a diagram

Interpret fractions - 6★ Read a given diagram as a mixed number

Equivalent fractions - 4★ Would you rather have this ... or this ...?

Equivalent fractions - 5★ Find half way between 2 fractions

Equivalent fractions - 6★ Convert to and from a mixed number

Reciprocals of numbers - 1★ Given an integer, provide the reciprocal so the product equals 1

Reciprocals of numbers - 2★ Reciprocal of integers

Reciprocals of numbers - 3★ Reciprocal of fractions

Reciprocals of numbers - 4★ Reciprocal of decimals < 1

Reciprocals of numbers - 5★ Reciprocal of fractions or decimals > 1

Reciprocals of numbers - 6★ Equivalent fraction fill in the blank reciprocals

Add or subtract fractions - 5★ Mixed numbers

Add or subtract fractions - 6★ Simple algebraic fractions

Write one number as a fraction of another - 1★ Write the amount shaded as a fraction of the total

Write one number as a fraction of another - 2★ Write one number as a fraction of another

Write one number as a fraction of another - 3★ Understanding complements when finding a fraction of an amount

Write one number as a fraction of another - 4★ Write one measurement as a fraction of another when they are given with different units

Write one number as a fraction of another - 5★ Given a total and the quantities of two of the three items in the total, write the third as fraction of the total

Write one number as a fraction of another - 6★ Equivalent fraction problem

Fraction of an amount (part i) - 2★ Multiply a fraction by a fraction

Fraction of an amount (part i) - 3★ Find a fraction of an amount

Fraction of an amount (part i) - 4★ Which of two fraction of amounts statements is larger?

Fraction of an amount (part i) - 5★ Word problem involving expenditure

Fraction of an amount (part i) - 6★ Fraction of one amount is equal to fraction of unknown, find the unknown

Fraction of an amount (part ii) - 1★ Unit fraction of an amount

Fraction of an amount (part ii) - 2★ Non-unit fraction of an amount

Fraction of an amount (part ii) - 3★ Mixed number of an amount

Fraction of an amount (part ii) - 4★ Increase or decrease by a fraction

Fraction of an amount (part ii) - 5★ Word problems

Fraction of an amount (part ii) - 6★ Fraction between 2 numbers

Multiply or divide fractions - 1★ Given an integer, provide the reciprocal so the product equals 1

Multiply or divide fractions - 4★ 3 fractions

Multiply or divide fractions - 5★ Mixed numbers

Multiply or divide fractions - 6★ Simple algebraic fractions

FDP conversion - 2★ Convert between FDP

FDP conversion - 3★ Are 2 numbers written in different number formats (FDP) equal?

FDP conversion - 4★ Order FDP

FDP conversion - 5★ Convert a recurring decimal to a fraction where the recurring digit is the first decimal place

FDP conversion - 6★ Convert a recurring decimal to a fraction (harder)

Order numbers - 3★ Order decimals

Order numbers - 4★ Order FDP

Order numbers - 5★ Order fractions

Order numbers - 6★ Order numbers written in standard form

Efficient use of a calculator - 1★ Calculator familiarisation - identify what function a button has on a calculator

Efficient use of a calculator - 2★ Enter BIDMAS related calculations on a calculator

Efficient use of a calculator - 3★ Identify whether a number is prime on a calculator

Efficient use of a calculator - 4★ Evaluate a given expression by substituting in both positive and negative values

Efficient use of a calculator - 5★ Evaluate a calculation invovling standard form on a calculator

Efficient use of a calculator - 6★ Perform fraction calculations on a calculator

Operate with integers (+ and -) - 1★ Numbers bonds to 10 or 100

Operate with integers (+ and -) - 2★ Alternative vocabulary for addition or subtraction

Operate with integers (+ and -) - 3★ 1 digit integer ± 1 digit integer

Operate with integers (+ and -) - 4★ 2 digit integer ± 2 digit integer

Operate with integers (+ and -) - 5★ 3 digit integer ± 2 digit integer

Operate with integers (+ and -) - 6★ Directed number calculations

Operate with integers (x and ÷) - 1★ Times tables

Operate with integers (x and ÷) - 2★ Alternate vocabulary to multiplication or division

Operate with integers (x and ÷) - 3★ 2 digit integer x÷ 1 digit integer

Operate with integers (x and ÷) - 4★ 3 digit integer x÷ 2 digit integer

Operate with integers (x and ÷) - 5★ Directed numbers calculations

Column multiplication - 2★ 2 digit integer x 2 digit integer

Column multiplication - 4★ Identify the last digit of a multiplication answer

Column multiplication - 5★ Fill in the missing number of 3 digit integer x 2 digit integer calculation given all the working

Column multiplication - 6★ 3 digit integer x 3 digit integer

Short division - 1★ Inverse times tables

Short division - 3★ Complete the short division calculation using the bus stop method

Short division - 5★ Dividing decimal by integer

Short division - 6★ Dividing an integer by a decimal

Product rule for counting - 1★ Product of 3 or 4 numbers

Product rule for counting - 2★ Simple product rule for counting

Product rule for counting - 3★ Given the final product, find how many of one type there are

Product rule for counting - 4★ Pin related problems

Operate with decimals (+ and -) - 1★ Decimal (1dp) ± integer

Operate with decimals (+ and -) - 2★ Integer ± decimal (1dp)

Operate with decimals (+ and -) - 3★ Decimal (1dp) ± decimal (1dp) both less than 1

Operate with decimals (+ and -) - 4★ Decimal (1dp) ± decimal (1dp) both more than 1

Operate with decimals (+ and -) - 5★ Decimal ± Decimal (2 or more dp)

Operate with decimals (+ and -) - 6★ Recurring decimal ± decimal

Operate with decimals (x and ÷) - 1★ Decimal (1dp) multiplied by a power of 10

Operate with decimals (x and ÷) - 2★ Decimal (1dp) divided by a power of 10

Operate with decimals (x and ÷) - 3★ Decimal (1dp) x÷ integer

Operate with decimals (x and ÷) - 4★ Decimal x÷ decimal (both 1 or 2 dp)

Operate with decimals (x and ÷) - 5★ Decimal x÷ decimal (2 or more dp)

Operate with decimals (x and ÷) - 6★ Contextualised use of x÷ with decimals

Money problems - 1★ Given a shopping list of prices, calculate the cost of buying 1 each of two items

Money problems - 2★ Given a shopping list of prices, calculate the cost of buying multiple items

Money problems - 3★ Given a shopping list of prices, calculate the cost of buying multiple items with different units of money, e.g. £ and p

Money problems - 4★ Given a shopping list, calculate the change due from making a multi item purchase

Money problems - 5★ Given a shopping list, calculate how many can I buy of 1 item?

Money problems - 6★ What proportion of the total cost of purchasing multiple items does 1 item represent?

Money problems - payment plans - 1★ How much do I pay each month? (No deposit)

Money problems - payment plans - 2★ How much do I pay each month? (With deposit)

Money problems - payment plans - 3★ Given 2 offers from different shops, is it better value to buy now or spread the payments?

Money problems - payment plans - 4★ Deposit with equal payments and one-off interest

Pay slips - 1★ Calculating gross pay

Pay slips - 2★ Calculating gross pay inc overtime

Pay slips - 3★ Calculating the total deductions or net pay

Pay slips - 4★ Calculate the monthly tax for a basic rate tax earner given the 20% and personal tax free allowance thresholds

Pay slips - 5★ Calculate the monthly tax for a high income earner given the tax free personal allowance, 20% tax and 40% tax thresholds

Percentage of an amount - 3★ Percentage to find is a multiple of 1

Percentage of an amount - 4★ Calculator use

Percentage of an amount - 5★ Percentage to find is a multiple of 0.5

Percentage of an amount - 6★ Populate and interpret a two-way table based on percentages of a population

Percentage change - 1★ Recognise that percentage is out of 100

Percentage change - 2★ Write one number as a percentage of another (out of 100)

Percentage change - 3★ Write one number as a percentage of another (not out of 100)

Percentage change - 5★ Contextualised percentage change

Percentage change - 6★ Percentage change from a compound interest problem

Increase/decrease by a percentage - 1★ Increase/decrease by a percentage where the percentage is a multiple of 10

Increase/decrease by a percentage - 2★ Increase/decrease by a percentage where the percentage is a multiple of 5 (exc multiples of 10)

Increase/decrease by a percentage - 3★ Increase/decrease by a percentage where the percentage is a multiple of 1

Increase/decrease by a percentage - 4★ Increase/decrease by a percentage where the percentage is a multiple of 0.5

Increase/decrease by a percentage - 5★ Effect of using a decimal multiplier on a number

Increase/decrease by a percentage - 6★ Explain why a x% increase followed by an x% decrease does not give the original number

Reverse percentage - 1★ What percentage is left after increasing or decreasing a number by a percentage

Reverse percentage - 2★ Effect of using a decimal multiplier on a number

Reverse percentage - 4★ Reverse percentage based on compound interest/decay

Simple interest - 1★ Interest earned after 1 year

Simple interest - 2★ Total after n years (where % is an integer)

Simple interest - 3★ Total after n years (where % is not integer)

Simple interest - 4★ Total after n years (where % is less than 1)

Simple interest - 5★ Calculate the interest rate given the total and the number of years

Simple interest - 6★ Problem solving

Calculate growth/decay - 1★ Effect of using a decimal multiplier on a number

Calculate growth/decay - 2★ Growth/decay percentage is an integer

Calculate growth/decay - 3★ Growth/decay percentage is a decimal (1dp)

Calculate growth/decay - 4★ Find the number of years to exceed a given amount

Calculate growth/decay - 5★ Find the percentage growth/decay

Student loans - 1★ Calculate 9% of a annual salary

Student loans - 2★ Calculate the amount deducted from an annual salary or monthly repayment

Student loans - 3★ Calculate how many months it will take to repay the student loan

Student loans - 4★ Calculate the amount of student loan is left to repay after n years

Annual equivalent rate - 1★ Compound interest

Annual equivalent rate - 2★ Calculate AER

Annual equivalent rate - 3★ Calculate how much would be in an account

Annual equivalent rate - 4★ Which is better value?

Annual equivalent rate - 5★ Backwards AER questions

Estimation - 1★ Estimate the product of a decimal and integer

Estimation - 2★ Estimate money total

Estimation - 3★ Estimate a decimal divided by a decimal (greater than 1)

Estimation - 4★ Estimate a decimal divided by a decimal (less than 1)

Estimation - 5★ Estimate square roots/cube roots

Estimation - 6★ Estimate the value of longer BIDMAS related calculations

Fermi - 1★ Estimate key facts that relate to general knowledge fermi questions

Fermi - 2★ Key conversion questions e.g. time units, measures of length, speed/distance/time

Fermi - 3★ Short Fermi questions

Truncation - 1★ Truncate to 10, 100 or 1000

Truncation - 2★ Truncate to dp or sf

Truncation - 3★ Error interval when truncated to 10, 100 or 1000

Truncation - 4★ Error interval when truncated to dp or sf

Truncation - 5★ Calculate the error interval relating to a contextualised word problem

Basic rules of rounding (inc dp and bounds) - 1★ Round to the nearest 100

Basic rules of rounding (inc dp and bounds) - 2★ Round to the nearest 10

Basic rules of rounding (inc dp and bounds) - 4★ Round to 1dp

Basic rules of rounding (inc dp and bounds) - 6★ Calculate the bounds/error interval

Round to specific sf (inc bounds) - 1★ Integer rounding to 1 significant figure

Round to specific sf (inc bounds) - 2★ Integer rounding to 2 significant figures

Round to specific sf (inc bounds) - 3★ Decimal rounding to the nearest 1 significant figure

Round to specific sf (inc bounds) - 4★ Decimal rounding to the nearest 2 significant figures

Round to specific sf (inc bounds) - 5★ Decimal rounding to the nearest 2 significant figures (where 2nd significant figure is 0)

Round to specific sf (inc bounds) - 6★ Calculate the bounds/error interval

Upper and lower bound calculations - 2★ Bounds of addition and multiplication

Upper and lower bound calculations - 3★ Bounds of subtraction and division

Upper and lower bound calculations - 4★ Mixture of operations

Upper and lower bound calculations - 5★ Compound measure calculations with bounds

Upper and lower bound calculations - 6★ Use of bounds in other Mathematical topics

Squares, cubes and roots - 1★ Given a square grid, count the squares to determine the square number

Squares, cubes and roots - 5★ Knowledge of cube numbers up to below 200

Squares, cubes and roots - 6★ Combination of operations with squares, cubes and roots of numbers

Equating bases - 1★ Mixed index laws

Equating bases - 2★ Write one number as a power of another

Equating bases - 3★ Simplify index laws and write as a single power of a number

Equating bases - 4★ Simplify a complex problem and write the answer as a power of a number

Equating bases - 5★ Solving equations by equating bases

Equating bases - 6★ Solving harder equations by equating bases

Integers with negative/fractional indices - 1★ To the power of -1

Integers with negative/fractional indices - 3★ To the power of a half or a third

Integers with negative/fractional indices - 4★ To the power of negative half or third

Integers with negative/fractional indices - 5★ To the power of a fraction (inc top heavy)

Integers with negative/fractional indices - 6★ To the power of a negative fraction (inc top heavy)

Decimals/fractions with negative/fractional indices - 1★ Decimal or fraction raised to the power of -1

Decimals/fractions with negative/fractional indices - 2★ Decimal or fraction raised to the power of a negative 2

Decimals/fractions with negative/fractional indices - 3★ To the power of a half or a third

Decimals/fractions with negative/fractional indices - 4★ To the power of negative half or third

Decimals/fractions with negative/fractional indices - 5★ To the power of a fraction (inc top heavy)

Decimals/fractions with negative/fractional indices - 6★ To the power of a negative fraction (inc top heavy)

Conversion of standard form - 1★ Multiplying and dividing by powers of 10

Conversion of standard form - 3★ Convert to standard form (numbers less than 0)

Conversion of standard form - 4★ Convert from standard form

Conversion of standard form - 5★ Convert ax10^b where is a<1 or a>10 into standard form

Operate in standard form - 1★ Add and subtract numbers written in standard form with common powers of 10

Operate in standard form - 3★ Add and subtract numbers written in standard form

Operate in standard form - 4★ Multiplying numbers written in standard form

Operate in standard form - 5★ Dividing numbers written in standard form

Operate in standard form - 6★ Combination of operations with numbers written in standard form

Simplify a surd - 1★ Write a surd as the square root of the product of 2 numbers where 1 number is missing

Simplify a surd - 2★ Write a surd as the square root of the product of 2 numbers

Simplify a surd - 3★ Write a surd as a product of two square roots where 1 square root is missing

Simplify a surd - 4★ Write a surd as a product of two square roots

Operate with surds - 1★ Add and subtract common surds

Operate with surds - 2★ Simplify one surd before adding or subtracting it to another

Operate with surds - 3★ Multiplication of surds

Operate with surds - 4★ Division of surds

Operate with surds - 5★ Combination of operations involving surds

Operate with surds - 6★ Combination of operations involving the expansion of surds in brackets

Rationalise the denominator - 1★ Given the root of a number, how would you rationalise it?

Rationalise the denominator - 2★ Rationalise a unit fraction

Rationalise the denominator - 3★ Rationalise a simple denominator

Rationalise the denominator - 4★ Rationalise a denominator where the same surd appears in both the numerator and denominator

Rationalise the denominator - 5★ Rationalise the denominator using the difference of two squares

Rationalise the denominator - 6★ Rationalise the denominator using the difference of two squares and a surd in the numerator

Reading time and tables - 1★ Reading a clock face (12hr format) (15mins, 30mins or 45mins past)

Reading time and tables - 2★ Reading a clock face (12hr format)

Reading time and tables - 3★ Converting a pm time into 24hr format

Reading time and tables - 4★ Interpret a bus time table

Reading time and tables - 5★ Calculating a journey time from a bus time table

Reading time and tables - 6★ Given a department time and length of journey, will I be late for an appointment?

Reading scales - 1★ Reading a scale with integer increments

Reading scales - 2★ Reading a scale with integer increments with labels for every other marker on the scale

Reading scales - 3★ Reading a scale with 0.5 increments and labels on the integer markers

Reading scales - 4★ Reading a scale with a large gaps between labelled markers

Reading scales - 5★ Reading a scale with only 2 values given on the scale

Reading scales - 6★ Reading a scale with decimal increments

Measuring/Drawing angles - 1★ Identify the angle type (e.g. acute, obtuse, right-angle or reflex)

Measuring/Drawing angles - 3★ Given that a student has incorrectly interpretted their protractor, identify the number bond to 180°

Measuring/Drawing angles - 4★ Measure acute/90°/obtuse angles

Measuring/Drawing angles - 5★ Measure a reflex angle

Measuring/Drawing angles - 6★ Draw a reflex angle

Constructions/loci - 1★ Construct a scalene triangle using loci constructions

Constructions/loci - 2★ Construct an equilateral/isosceles triangle using loci constructions

Constructions/loci - 3★ Construct an angle bisector using loci constructions

Constructions/loci - 5★ Construct a perpendicular line from a point using loci constructions

Constructions/loci - 6★ Real life loci problem solving

Plans and elevations - 1★ Identify the number of cubes needed to make a solid shape

Plans and elevations - 2★ Draw the plan, front and side elevations for a solid shape

Plans and elevations - 3★ Sketch a solid shape on isometric paper given the plan, front and side elevation

Plans and elevations - 4★ Draw the plan, front and side elevations for trickier 3D solids

Plans and elevations - 5★ Sketch a tricky 3D solid given the plan, front and side elevation

Plans and elevations - 6★ Identify a solid shape from a word description of the plan, front and side elevations

90°, 180°, and 360° angles - 5★ Given 3 algebraic expressions to represent angles, solve the equation formed using appropriate angle facts

Angles in triangles - 6★ Calculate an unknown angle in 2 adjoining triangles

Angles in quadrilaterals - 6★ Given algebraic expressions to represent the angles in a quadrilateral, form an equation and solve it

Angles on parallel lines - 3★ Form and solve an equation given two expressions that represent 2 angles on parallel lines

Angles on parallel lines - 4★ Solve unknown angles in geometrical shapes using angles on parallel lines

Angles in polygons - 2★ Find a missing angle in a n-sided polygon given all but 1 angle

Angles in polygons - 3★ Will it regular n-sided polygon tesselate?

Angles in polygons - 4★ Use an exterior angle of a regular n-sided polygon to calculate the number of sides

Angles in polygons - 5★ Use an interior angle of a regular n-sided polygon to calculate the number of sides

Angles in polygons - 6★ Problem solving

Bearings - 1★ Measure an angle

Bearings - 3★ Calculate a return bearing from a diagram

Bearings - 4★ Solve a word problem involving the calculation of a return bearing

Bearings - 5★ Given a bearing that has been read incorrectly, calculate the correct bearing

Bearings - 6★ Real life scaled drawings involving the construction of multiple bearings

Rotations - 1★ State the order of rotational symmetry

Rotations - 2★ Rotate a shape about the origin

Rotations - 3★ Describe the transformation about the origin

Rotations - 4★ Rotate a shape about a point

Rotations - 5★ Describe the transformation about a point

Reflections - 1★ State the number of lines of symmetry

Reflections - 2★ Draw the mirror line x=a/y=a mirror for a given reflection

Reflections - 3★ Reflect a given shape in x=a/y=a

Reflections - 5★ Reflect a shape in given y=x/y=-x

Translations - 1★ Describe a translation in words

Translations - 2★ Draw a horizontal/vertical translation

Translations - 3★ Describe a horizontal/vertical translation

Translations - 4★ Drawing any vector translation

Translations - 6★ Given the vectors of A to B and B to C, state the vector C to A

Enlargements - 1★ Enlarge a shape (without centre of enlargement)

Enlargements - 2★ Finding a scale factor given 2 similar shapes (positive or fractional)

Enlargements - 3★ Enlarge a shape from a centre of enlargement

Enlargements - 4★ Describe an enlargement given 2 similar shapes on a set of axes

Enlargements - 5★ Enlarge a shape by a fractional scale factor

Enlargements - 6★ Enlarge a shape by a negative scale factor

Area/Volume scale factors - 1★ Find the area of an enlarged 2D shape

Area/Volume scale factors - 2★ Find the volume of an enlarged 3D shape

Area/Volume scale factors - 3★ Find the area of the original 2D shape

Area/Volume scale factors - 4★ Find the volume of the original 3D shape

Area/Volume scale factors - 5★ Find a side length given the areas of the original and enlarged shape

Area/Volume scale factors - 6★ Find a side length given the volumes of the original and enlarged 3D shapes

Congruence - 1★ Are two given shapes congruent?

Congruence - 2★ Knowing two shapes are congruent, find an unknown side or angle

Congruence - 3★ State the condition of congruence shown by 2 shapes

Congruence - 4★ Prove two shapes are congruent

Similar shapes - 1★ Are two given shapes similar?

Similar shapes - 2★ Knowing two shapes are similar, find an unknown side length (orientation exercise)

Similar shapes - 3★ Use a scale factor to find an unknown side

Similar shapes - 4★ Use a scale factor to find an unknown side (harder)

Similar shapes - 5★ Use Pythagoras theorem to find an unknown side given 2 similar shapes

Names and properties of polygons - 1★ Given a 2D shape, identify the polygon family

Names and properties of polygons - 2★ Name a regular shape given its geometrical properties

Names and properties of polygons - 3★ Given a basic 4 sided shape, name the quadrilateral

Names and properties of polygons - 4★ Name a quadrilateral given its geometrical properties

Area of 2D shapes - 5★ Calculate the area of a regular hexagon

Area of 2D shapes - 6★ Given 2 shapes and the fact their areas are equal, calculate a missing length in 1 of the shapes

Reverse area of 2D shapes - 1★ Given the area of a rectangle, calculate an unknown side length

Reverse area of 2D shapes - 2★ Given the area of a triangle, calculate an unknown side length

Reverse area of 2D shapes - 3★ Given the area of a parallelogram, calculate an unknown side length

Reverse area of 2D shapes - 4★ Given the area of a trapezium, calculate an unknown side length

Reverse area of 2D shapes - 5★ Given 2 shapes and the fact their areas are equal, calculate a missing length in 1 of the shapes

Reverse area of 2D shapes - 6★ Given that a length is a multiple of another in a basic 2D shape and the area, calculate the unknown length

Algebraic area of 2D shapes - 1★ Calculate the area of a rectangle with simple terms to represent the sides

Algebraic area of 2D shapes - 2★ Calculate the area of a rectangle where the sides are expressions

Algebraic area of 2D shapes - 3★ Given an expression to represent the area of a rectangle and 1 integer side, write the expression for the other side

Algebraic area of 2D shapes - 4★ Find the area of a rectangle with expressions for both sides

Algebraic area of 2D shapes - 5★ Find the area of shaded region with a cut out made from rectangles

Algebraic area of 2D shapes - 6★ Calculate the area of simple compound shape with algebraic sides

Area of composite shapes - 5★ Calculate the shaded area of a compound shape made from removing a rectangle from another rectangle

Area of composite shapes - 6★ Calculate the shaded area of a compound shape made from removing a circle from a square

Perimeter of 2D shapes - 1★ Calculate the perimeter of a rectangle by counting squares

Perimeter of 2D shapes - 4★ Calculate the perimeter of a rhombus

Perimeter of 2D shapes - 5★ Form an expression to represent the perimeter of a rectangle with algebraic side lengths

Perimeter of 2D shapes - 6★ Calculate the perimeter of a half or quarter of a circle

Parts of a circle - 1★ Identify which line within a circle is the diameter

Parts of a circle - 2★ Find the radius or diameter given the other

Parts of a circle - 4★ Draw the named part of a circle

Circumference of a circle - 1★ Calculate the circumference given the diameter

Circumference of a circle - 3★ Calculate the diameter given the circumference

Circumference of a circle - 4★ Calculate the perimeter of a quarter or half circle

Circumference of a circle - 5★ Calculate the perimeter of a sector or the arc length

Circumference of a circle - 6★ Calculate the angle of a sector given the perimeter

Area of a circle - 1★ Calculate the area of a circle given the radius

Area of a circle - 3★ Calculate the radius of a circle given its area

Area of a circle - 4★ Calculate the area of a quarter or semi circle

Area of a circle - 5★ Calculate the area of a sector

Area of a circle - 6★ Calculate the angle of a sector given its area

Circle theorems - 2★ Calculate an unknown angle using the angles in the cyclic quadrilateral property

Circle theorems - 3★ Calculate an unknown angle using the angle at the center is twice the angle on the circumference theorem or angles in the same segment theorem

Circle theorems - 4★ Calculate an unknown angle using the alternate segment theorem

Circle theorems - 5★ Calculate an unknown angle using circle theorems that are tricky to spot

Circle theorems - 6★ Form and solve an equation based on algebraic angles linked by circle theorems

Apply Pythagoras' Theorem - 1★ Calculate the hypotenuse of a right angled triangle

Apply Pythagoras' Theorem - 3★ Use Pythagoras theorem for right angled triangles

Apply Pythagoras' Theorem - 4★ Apply Pythagoras theorem in non-right angle triangles

Apply Pythagoras' Theorem - 6★ Apply Pythagoras theorem in 3D

Apply SOH CAH TOA - 1★ Finding a length given an approximate trig value in a right-angled triangle

Apply SOH CAH TOA - 3★ Apply SOH CAH TOA to calculate an angle in a right-angled triangle

Apply SOH CAH TOA - 4★ Apply SOH CAH TOA in an isosceles or equilateral triangle or quadrilateral

Apply SOH CAH TOA - 5★ Apply SOH CAH TOA multiple times in a multi-step problem

Apply SOH CAH TOA - 6★ Apply SOH CAH TOA in a 3D problem

Sine and cosine rules - 1★ Label the angles and sides of triangle ABC ready to apply the sine or cosine rule

Sine and cosine rules - 2★ Using the sine rule to find a side or angle

Sine and cosine rules - 3★ Using the cosine rule to find a side

Sine and cosine rules - 4★ Using the cosine rule to find an angle

Sine and cosine rules - 5★ Apply either the sine or cosine rule in a problem

Sine and cosine rules - 6★ Apply both the sine and cosine rule in a multi-step problem

Area of a triangle (trigonometry) - 1★ Label the angles and sides of triangle ABC ready to apply the sine or cosine rule

Area of a triangle (trigonometry) - 2★ Evaluate the correct use of the formula on a calculator

Area of a triangle (trigonometry) - 3★ Calculate the area of a non-right angled triangle using 0.5absinC

Area of a triangle (trigonometry) - 4★ Find a side of a non-right angled triangle given the area, the angle and the length of the adjacent side

Area of a triangle (trigonometry) - 5★ Find an angle of a non-right angled triangle given the area and two adjacent sides

Area of a triangle (trigonometry) - 6★ Apply the area formula to find an unknown value that assists with then using the cosine rule in a multi-step problem

Trigonometry exact values - 1★ Reading exact values from either a right-angled triangle or a right-angled isosceles triangle

Trigonometry exact values - 2★ Recalling exact values of sin, cos or tan

Trigonometry exact values - 3★ Find the sum of exact sin, cos or tan values

Trigonometry exact values - 4★ SOH CAH TOA application of exact values

Trigonometry exact values - 5★ Identify alternate exact values of angles greater than 90

Trigonometry exact values - 6★ Apply exact values within a cosine rule problem

Surface area of 3D shapes - 1★ Give the name of a common 3D shape given a diagram or description

Surface area of 3D shapes - 4★ Surface area of a cone or sphere

Surface area of 3D shapes - 5★ Calculate a missing length given the surface area of a sphere, cylinder or cuboid

Volume of 3D shapes - 1★ Give the name of a common 3D shape given a diagram or description

Volume of 3D shapes - 3★ Calculate the length of an edge of a cube or of a cuboid given its volume

Volume of 3D shapes - 5★ Calculate a missing length in a cylinder or triangular prism given the volume

Volume of 3D shapes - 6★ Calculate the most items you can fit in a container

Volume of complex 3D shapes - 1★ Give the name of a common 3D shape given a diagram or description

Volume of complex 3D shapes - 2★ Calculate the volume of a cone or sphere or square based pyramid

Volume of complex 3D shapes - 3★ Calculate a missing length given the volume of a cone or sphere or square based pyramid

Volume of complex 3D shapes - 4★ Calculate the volume of a hemi sphere or frustum

Volume of complex 3D shapes - 5★ Calculate a missing length given the volume of a frustum

Leave your answer in exact form - 1★ Calculate the area or circumference of a circle in terms of pi

Leave your answer in exact form - 2★ Calculate the area or arc length of a sector in terms of pi

Leave your answer in exact form - 3★ Calculate the longest or shortest side using Pythagoras leaving the answer in surd form

Leave your answer in exact form - 4★ Calculate the volume of a cone, sphere or cylinder in terms of pi

Leave your answer in exact form - 5★ Find the sum of exact sin, cos or tan values

Leave your answer in exact form - 6★ Evaluate a value raised to a fractional power leaving the answer in surd form

Vectors - 1★ Interpret a vector

Vectors - 2★ Draw a vector

Vectors - 3★ Perform vector arithmetic

Vectors - 4★ Determine the resultant vector given 2 vectors in a geometry problem

Vectors - 5★ Determine the resultant vector given 2 vectors in a geometry problem involving midpoints of a vector

Vectors - 6★ Determine the resultant vector given 2 vectors in a geometry problem involving ratio of a vector

Probability scale - 1★ Probability vocabluary - impossible, unlikely, even chance, likely, certain

Probability scale - 2★ Place likelihood of an event on a number line (0 to 1)

Probability scale - 3★ Place the likelihood of events on a number line (0 to 1) that are mutually exclusive events

List outcomes - 1★ List outcomes from a single event

List outcomes - 4★ Calculate probabilities given a sample space diagram

List outcomes - 5★ Draw and interpret a sample space diagram for the outcomes of 2 events

Calculate simple probabilities - 1★ Calculate the probability for a simple single event

Calculate simple probabilities - 2★ Calculate the probability of selecting an item given a list of all outcomes

Frequency trees - 1★ Create a frequency tree for a single event

Frequency trees - 2★ Create a frequency tree for 2 events

Frequency trees - 3★ Create a frequency tree for 2 events involving some arithmetic to complete the tree

Frequency trees - 4★ Create a frequency tree for 2 events involving problem solving to complete the tree

Frequency trees - 5★ Calculate the probability of an event by first drawing a frequency tree

Mutually exclusive events - 2★ Complete a table of the likelihood of outcomes of a mutually exlusive event with 3 outcomes

Mutually exclusive events - 3★ Complete a table of the likelihood of outcomes of a mutually exlusive event where 2 of the outcomes are equally likely

Mutually exclusive events - 4★ Complete a probability tree diagram for a single event

Mutually exclusive events - 5★ Given the probabilities of a mutually exclusive event as algebraic expressions, form and solve the equation

Calculate relative/expected frequency - 2★ Find the relative frequency where the total is not 100

Calculate relative/expected frequency - 3★ Find the relative frequency where the total is not given

Calculate relative/expected frequency - 4★ Use relative frequency to calculate the expected frequency

Calculate relative/expected frequency - 5★ Complete a table of relative frequencies and expected frequencies of a single event

Calculate relative/expected frequency - 6★ Use relative frequency from an experiment to estimate the population

Probabilities of independent events - 6★ Calculate a probability of more than 2 events

Probabilities of dependent events - 2★ Calculate a probability given an incomplete tree diagram for 2 events - AND style questions

Probabilities of dependent events - 3★ Calculate a probability of 2 events - AND style questions

Probabilities of dependent events - 4★ Calulate a probability of 2 events where you can only have 1 of each - OR style questions

Probabilities of dependent events - 5★ Calculate a probability of 2 events for AT LEAST style questions

Complete and interpret a venn diagram - 1★ Construct a venn diagram

Complete and interpret a venn diagram - 2★ Calculate simple probabilities from a venn diagram

Complete and interpret a venn diagram - 3★ Calculate union or intersection probabilities from a venn diagram

Complete and interpret a venn diagram - 4★ Calculate union or intersection probabilities from a venn diagram including NOT

Complete and interpret a venn diagram - 5★ Calculate union or intersection probabilities given domains outlined by set notation

Complete and interpret a venn diagram - 6★ Calculate union or intersection probabilities where an equation needs to be formed and solved

Calculate conditional probabilities - 1★ Conditional probability from a venn diagram

Calculate conditional probabilities - 2★ Conditional probability without a venn diagram but given domains outlined by set notation

Calculate conditional probabilities - 3★ Conditional probability of selecting letters from a given word

Calculate conditional probabilities - 4★ Calculating a conditional probability given percentages of specific outcomes

Conversion of metric units - 2★ Conversion between cm^3 and l

Conversion of metric units - 3★ Simple problem solving given measures of different metric units

Conversion of metric units - 4★ Conversion between metric units of area

Conversion of metric units - 5★ Conversion between metric units of volume

Conversion of metric units - 6★ Problem solving with metric units of measure

Conversion of metric and imperial - 1★ Convert between miles and kilometres

Conversion of metric and imperial - 2★ Speed/distance/time calculations

Conversion of metric and imperial - 3★ Given a conversion ratio, change between metric and imperial units

Conversion of metric and imperial - 4★ Problem solving with measures given in metric and imperial units

Conversion of metric and imperial - 5★ Multiple conversions of units

Conversion of metric and imperial - 6★ Convert between units of area/volume

Map scales - 1★ Given a conversion ratio, convert a map distance into a real life distance

Map scales - 2★ Conversion between metric units of length

Map scales - 3★ Given a conversion ratio, convert a real life distance into a map distance

Map scales - 4★ Given a scale written in different metric units, write the ratio in its simplest form

Map scales - 5★ Given a distance represented as a measureable line on map and a scale, convert into a real life distance

Compound measures - 3★ Density, mass and volume calculations/Pressure, mass and area calculations

Compound measures - 4★ Problem solve with compound measures

Compound measures - 5★ Problem solve with compound measures involving volume calculation

Compound measures - 6★ Convert between different units of compound measure

Simplify a ratio - 1★ Simplify a:b

Simplify a ratio - 3★ Simplify a:b:c

Simplify a ratio - 4★ Simplify a simple algebraic ratio

Simplify a ratio - 5★ Simplify an algebraic ratio that includes powers

Simplify a ratio - 6★ Combine 2 separate ratios comparing different quantities and problem solve when interpreting the resulting ratio

Interpret ratio as a fraction - 1★ What fraction of a bar model divided into the ratio a:b is shaded

Interpret ratio as a fraction - 2★ What fraction of a bar model divided into the ratio a:b:c is shaded)

Interpret ratio as a fraction - 3★ Given a ratio a:b, what fraction is represented

Interpret ratio as a fraction - 4★ Given a ratio a:b:c, what fraction is represented

Interpret ratio as a fraction - 5★ Given a fraction/percentage of a bar model that is shaded, represent this as a ratio

Interpret ratio as a fraction - 6★ Represent a part of a contextualised ratio problem as fraction

Divide a quantity into a given ratio - 3★ Divide a contextualised amount into the ratio a:b

Divide a quantity into a given ratio - 4★ With an amount of money shared in the ratio a:b, if someone gets this, what does the other get?

Divide a quantity into a given ratio - 5★ With an amount of money shared in the ratio a:b, if the difference is this, how much did they share?

Divide a quantity into a given ratio - 6★ Divide an amount into a given ratio when the problem is linked with other topics in Maths, e.g. angles

Multiplicative operations with ratios - 1★ Given an equation of A in terms of B, write the fraction A/B

Multiplicative operations with ratios - 2★ Given an equation of A in terms of B, write the ratio A:B

Multiplicative operations with ratios - 3★ Given A:B=C:D, write the equation of A in terms of B, where C and D are positive integers

Multiplicative operations with ratios - 4★ Given the ratio of 2 pairs of points on a straight line give ratio between each point

Multiplicative operations with ratios - 5★ Given an equation of A in terms of B, problem solve with multiplicative ratios

Multiplicative operations with ratios - 6★ Problem solve when multiplicative operations with ratios are applied in other Mathematical topics

Best buys - 1★ Compare 2 offers (same quantities but different prices £)

Best buys - 2★ Compare 2 offers (different quantities and different prices £)

Best buys - 3★ Compare 2 offers (different quantities and different prices £pp)

Best buys - 4★ Compare 2 offers (different units, quantities and prices)

Best buys - 5★ Compare 2 offers (special offer deals)

Currency conversion - 3★ Given the currency conversion ratio, convert to pounds from another currency

Currency conversion - 4★ Given the cost of an item in two countries, which is better value/what is the difference in price?

Currency conversion - 5★ Given the cost of 2 items in different countries and the currency conversion into pounds, convert them into a comparable amount to determine which is better value

Direct proportion - 2★ Scale ingredients using direct proportion for a different number of portions

Direct proportion - 4★ Word direct proportion

Direct proportion - 5★ Direct proportion linear model

Direct proportion - 6★ Direct proportion non linear model

Inverse proportion - 1★ Simple inverse proportion based on a word problem

Inverse proportion - 2★ Word related inverse proportion

Inverse proportion - 3★ Inverse proportion linear model

Inverse proportion - 4★ Inverse proportion non linear model

Once a misconception has been created it will land here. After a short review process, the misconception will go live and be made available to the rest of the misconception community.

Divide a quantity into a given ratio - 2★ Divide an amount into a:b:c

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