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The following files are worked example animations generated using the question bank from Maths White Board (click here). The animations are a great way of modelling or providing a silent example for students to narrate. The animations could be started but paused half way to get students to think about what comes next. There are so many ways these animations could be used. For ease, all files have been built into the "Model it" tool on the site and also in the "Secure WB" board.

Design your animation:

To begin, search the question bank for a specific topic:

SELECT TOPIC

Feel free to use the FREE animation library but where possible, please provide a link to this site for others to explore. When using the animations, they are to be used to generate freely available resources. For any commercial services looking to embed these animations, please contact me first.

Shared/Live animation

In this section you can view and download any of the shared animations. These animations are also made available in the Maths White Board "Model it" tool and any on-screen practice page ("Secure WB").

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Algebra vocabulary and understanding
1★ What is it? (term, expression, equation or identity?)
Algebra vocabulary and understanding
1★ What is it? (term, expression, equation or identity?)
Algebra vocabulary and understanding
2★ Is it an equation or an identity?
Algebra vocabulary and understanding
2★ Is it an equation or an identity?
Algebra vocabulary and understanding
3★ Equating coefficients (quadratics)
Algebra vocabulary and understanding
3★ 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 to be true
Algebraic proof
2★ Show a simple identity to be true
Algebraic proof
3★ Show that an identity (involving product of brackets) to be true
Algebraic proof
3★ Show that an identity (involving product of brackets) to be true
Algebraic proof
4★ Show that an expression is even, odd, multiple of or factor of
Algebraic proof
5★ Show that a harder expression is a even, odd, multiple of or factor of
Simplify an expression
1★ Single variable addition and subtraction
Simplify an expression
2★ Addition and subtraction of multiples of a single variable
Simplify an expression
3★ Multiplying and dividing terms
Simplify an expression
3★ Multiplying and dividing terms
Simplify an expression
4★ Collecting two or more variables
Simplify an expression
4★ Collecting two or more variables
Simplify an expression
5★ Collecting two or more variables inc powers
Simplify an expression
5★ Collecting two or more variables inc powers
Simplify an expression
6★ Shape geometry
Simplify an expression
6★ Shape geometry
Algebraic fractions
1★ Simplify
Algebraic fractions
1★ Simplify
Algebraic fractions
2★ Add and subtract
Algebraic fractions
2★ Add and subtract
Algebraic fractions
3★ Simplify (inc. factorising)
Algebraic fractions
3★ Simplify (inc. factorising)
Algebraic fractions
4★ Multiply or divide
Algebraic fractions
4★ Multiply or divide
Algebraic fractions
5★ Add or subtract with denominator expressions
Algebraic fractions
5★ Add or subtract with denominator expressions
Algebraic fractions
6★ Solve algebraic fractional equations (integer solutions)
Change the subject
1★ 1 step operation
Change the subject
2★ 2 step operation
Change the subject
3★ Rearrangement involving fractions
Change the subject
4★ Rearrangement involving powers
Change the subject
5★ Common formulae rearrangement
Change the subject
6★ Subject appears more than once
Identify coordinates in all 4 quadrants
1★ First quadrant
Identify coordinates in all 4 quadrants
2★ First and second quadrant
Identify coordinates in all 4 quadrants
3★ Third and fourth quadrants
Identify coordinates in all 4 quadrants
4★ All quadrants
Identify coordinates in all 4 quadrants
5★ Identify a coordinate to complete a shape
Identify coordinates in all 4 quadrants
6★ Find the midpoint of a line between 2 points
Find and use y = a, x = a and y = x
1★ State the equation from a graph
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 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★ Find the gradient where Δx is 1
Find y = mx + c from a graph
2★ Find the gradient where Δx is 1
Find y = mx + c from a graph
3★ Finding positive gradient
Find y = mx + c from a graph
4★ Finding negative gradient
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
1★ Interpret the gradient or y-intercept from y = mx + c
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★ Simple rearrange into the form y = mx + c and interpret
Rearranging into the form y = mx + c
2★ Simple rearrange into the form y = mx + c and interpret
Rearranging into the form y = mx + c
3★ Rearranging from ax + by = c into y = mx + c and interpret
Rearranging into the form y = mx + c
3★ Rearranging from ax + by = c into y = mx + c and interpret
Using and exploring y = mx + c
1★ Complete a table of values (find y)
Using and exploring y = mx + c
2★ Complete a table of values (x and y)
Using and exploring y = mx + c
2★ Complete a table of values (x and y)
Using and exploring y = mx + c
3★ Find c given gradient and a point
Using and exploring y = mx + c
3★ Find c given gradient and a point
Using and exploring y = mx + c
4★ Find the equation of a line given gradient and point
Using and exploring y = mx + c
4★ Find the equation of a line given gradient and point
Using and exploring y = mx + c
5★ Find gradient given 2 points
Using and exploring y = mx + c
5★ Find gradient given 2 points
Using and exploring y = mx + c
6★ Find the equation of a line given 2 points
Find the equation of a parallel line
1★ Given coordinates for two lines, are they parallel?
Find the equation of a parallel line
2★ Write down the gradient of a line parallel to y=mx+c
Find the equation of a parallel line
3★ Given 2 equations of lines, are they parallel?
Find the equation of a parallel line
3★ Given 2 equations of lines, are they parallel?
Find the equation of a parallel line
4★ Write down the equation of a line parallel to y=mx+c and 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 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
1★ Write the perpendicular gradient to a given gradient
Find the equation of a perpendicular line
1★ Write the perpendicular gradient to a given gradient
Find the equation of a perpendicular line
2★ Given coordinates for two lines, are they perpendicular?
Find the equation of a perpendicular line
3★ Write down the gradient of a line perpendicular to y=mx+c
Find the equation of a perpendicular line
3★ Write down the gradient of a line perpendicular to y=mx+c
Find the equation of a perpendicular line
4★ Prove 2 lines are perpendicular
Find the equation of a perpendicular line
4★ Prove 2 lines are perpendicular
Find the equation of a perpendicular line
5★ Given 2 equations of lines, are they perpendicular?
Find the equation of a perpendicular line
5★ Given 2 equations of lines, are they perpendicular?
Find the equation of a perpendicular line
5★ Given 2 equations of lines, are they perpendicular?
Find the equation of a perpendicular line
6★ Write down the equation of a line perpendicular to y=mx+c and passes through (a,b)
Equation of a tangent to a circle
1★ Find perpendicular gradients
Equation of a tangent to a circle
1★ Find perpendicular gradients
Equation of a tangent to a circle
2★ State the gradient of a tangent
Equation of a tangent to a circle
2★ State the gradient of a tangent
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
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
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
Equation of a tangent to a circle
6★ Problem solving
Graphical solutions of equations
1★ x=a and y=b
Graphical solutions of equations
2★ x=a/y=b and y=mx+c
Graphical solutions of equations
3★ y=ax+b and y=cx+d
Graphical solutions of equations
4★ Why is there no solution?
Graphical solutions of equations
5★ Quadratic and linear graph
Quadratic and cubic functions
1★ Table of values for simple quadratics or cubics
Quadratic and cubic functions
2★ Table of values for harder quadratics or cubics
Quadratic and cubic functions
3★ Draw a quadratic or cubic function
Quadratic and cubic functions
4★ Identify quadratic and cubic graphs
Quadratic and cubic functions
5★ Estimate values from a graph
Equation of a circle
1★ State the radius or centre
Equation of a circle
2★ Given the centre and radius state the equation
Equation of a circle
3★ Draw a circle with specific equation
Equation of a circle
4★ State the equation from a graph
Equation of a circle
5★ Does it lie on the circle?
Equation of a circle
6★ Problem solving
Area under a graph
1★ Draw a speed-time graph
Area under a graph
2★ Calculate the area under a graph given a trapezium or rectangular graph
Area under a graph
3★ Calculate the y-axis scale given a graph and area
Area under a graph
4★ Estimate the area under a graph (quadratic)
Area under a graph
5★ Is it an under or over estimate
Area under a graph
6★ Negative areas (dependent on context)
Reciprocal functions
1★ Table of values
Reciprocal functions
1★ Table of values
Reciprocal functions
2★ Draw an reciprocal function
Reciprocal functions
3★ Identify reciprocal graphs
Reciprocal functions
4★ Estimate values from a graph
Reciprocal functions
5★ Identify asymptotes
Exponential functions
1★ Table of values
Exponential functions
1★ Table of values
Exponential functions
2★ Draw an exponential function
Exponential functions
3★ Identify exponential graphs
Exponential functions
4★ Estimate values from a graph
Exponential functions
5★ Solve exponential equations
Trigonometry graphs
1★ Identify sin, cos and tan graphs
Trigonometry graphs
1★ Identify sin, cos and tan graphs
Trigonometry graphs
1★ Identify sin, cos and tan graphs
Trigonometry graphs
2★ Identify specific coordinates on a graph
Trigonometry graphs
2★ Identify specific coordinates on a graph
Trigonometry graphs
3★ Sketch a graph
Trigonometry graphs
3★ Sketch a graph
Trigonometry graphs
4★ Find another solution using a graph
Trigonometry graphs
4★ Find another solution using a graph
Trigonometry graphs
5★ Find another solution without the aid of a graph
Trigonometry graphs
5★ Find another solution without the aid of a graph
Solve linear equations (unknown on 1 side, int ans)
1★ 1 step equations (add or subtract)
Solve linear equations (unknown on 1 side, int ans)
2★ 1 step equations (multiply or divide)
Solve linear equations (unknown on 1 side, int ans)
3★ 2 step equations (positive coefficient of x)
Solve linear equations (unknown on 1 side, int ans)
4★ 2 step equations (negative coefficient of x)
Solve linear equations (unknown on 1 side, int ans)
5★ Linear equation involving brackets
Solve linear equations (unknown on 1 side, int ans)
5★ Linear equation involving brackets
Solve linear equations (unknown on 1 side, int ans)
6★ Problem solving
Solve linear equations (unknown on 1 side, dec ans)
1★ 1 step equations (add or subtract)
Solve linear equations (unknown on 1 side, dec ans)
1★ 1 step equations (add or subtract)
Solve linear equations (unknown on 1 side, dec ans)
2★ 1 step equations (multiply or divide)
Solve linear equations (unknown on 1 side, dec ans)
2★ 1 step equations (multiply or divide)
Solve linear equations (unknown on 1 side, dec ans)
3★ 2 step equations (positive coefficient of x)
Solve linear equations (unknown on 1 side, dec ans)
3★ 2 step equations (positive coefficient of x)
Solve linear equations (unknown on 1 side, dec ans)
4★ 2 step equations (negative coefficient of x)
Solve linear equations (unknown on 1 side, dec ans)
4★ 2 step equations (negative coefficient of x)
Solve linear equations (unknown on 1 side, dec ans)
5★ Linear equation involving brackets
Solve linear equations (unknown on 1 side, dec ans)
5★ Linear equation involving brackets
Solve linear equations (unknown both sides)
1★ Simple unknown both sides
Solve linear equations (unknown both sides)
2★ Positive coefficients
Solve linear equations (unknown both sides)
3★ Negative coefficients
Solve linear equations (unknown both sides)
4★ Involving brackets
Solve linear equations (unknown both sides)
4★ Involving brackets
Solve linear equations (unknown both sides)
5★ Word problems
Solve linear equations (unknown both sides)
6★ Problem solving
Solve linear equations with brackets
1★ Linear equation involving brackets
Solve linear equations with brackets
1★ Linear equation involving brackets
Solve linear equations with brackets
2★ Collecting the sum or difference of two brackets
Solve linear equations with brackets
2★ Collecting the sum or difference of two brackets
Solve linear equations with brackets
3★ Unknowns on both sides with brackets
Solve linear equations with brackets
3★ Unknowns on both sides with brackets
Solve linear equations with brackets
4★ Fractional multiplier
Solve linear equations with brackets
4★ Fractional multiplier
Solve linear equations with brackets
5★ Brackets on both sides
Solve linear equations with brackets
5★ Brackets on both sides
Solve linear equations with brackets
6★ Brackets in brackets
Solve rational equations
1★ Solve a simple rational equation
Solve rational equations
1★ Solve a simple rational equation
Solve rational equations
2★ Solve a rational equation with an expression numerator
Solve rational equations
2★ Solve a rational equation with an expression numerator
Solve rational equations
3★ Solve a rational equation with an expression numerator and denominator
Solve rational equations
3★ Solve a rational equation with an expression numerator and denominator
Solve rational equations
4★ Solve an equation with fractional expressions on each side of the equals
Solve rational equations
5★ Solve a rational equation where you have the sum of two fractional expressions
Solve rational equations
6★ Solve a rational equation involving factorising
Expand over a single bracket
1★ Multiplying a positive or negative by a simple expression
Expand over a single bracket
1★ Multiplying a positive or negative by a simple expression
Expand over a single bracket
2★ Multiplying a positive or negative number by a harder expression
Expand over a single bracket
2★ Multiplying a positive or negative number by a harder expression
Expand over a single bracket
3★ Multiplying 𝑥 over bracket
Expand over a single bracket
3★ Multiplying 𝑥 over bracket
Expand over a single bracket
4★ Multiplying an expression over a single bracket
Expand over a single bracket
4★ Multiplying an expression over a single bracket
Expand over a single bracket
5★ Expand the sum of two brackets and simplify
Expand over a single bracket
5★ Expand the sum of two brackets and simplify
Expand over a single bracket
6★ Identify unknowns in an identity
Expand 2 or more binomials
1★ Expand with positive terms
Expand 2 or more binomials
1★ Expand with positive terms
Expand 2 or more binomials
1★ Expand with positive terms
Expand 2 or more binomials
2★ Expand with 1 or more negative terms
Expand 2 or more binomials
2★ Expand with 1 or more negative terms
Expand 2 or more binomials
2★ Expand with 1 or more negative terms
Expand 2 or more binomials
3★ Difference of two squares
Expand 2 or more binomials
3★ Difference of two squares
Expand 2 or more binomials
3★ Difference of two squares
Expand 2 or more binomials
4★ Harder product of 2 expressions
Expand 2 or more binomials
4★ Harder product of 2 expressions
Expand 2 or more binomials
4★ Harder product of 2 expressions
Expand 2 or more binomials
5★ Expanding quadratic/cubic expressions
Expand 2 or more binomials
5★ Expanding quadratic/cubic expressions
Expand 2 or more binomials
6★ Product of 3 brackets
Expand 2 or more binomials
6★ Product of 3 brackets
Factorise a simple expression
1★ Factorise simple linear expressions
Factorise a simple expression
1★ Factorise simple linear expressions
Factorise a simple expression
2★ Factorise simple quadratic expression
Factorise a simple expression
2★ Factorise simple quadratic expression
Factorise a simple expression
3★ Factorise simple quadratic expression (factor with coefficient)
Factorise a simple expression
3★ Factorise simple quadratic expression (factor with coefficient)
Factorise a simple expression
4★ Can it be factorised?
Factorise a simple expression
5★ Problem solving
Factorise a simple expression
6★ Fully factorise by combining a sum of 2 terms
Factorise a quadratic expression
1★ Factorise a quadratic resulting in (x + a)(x + b)
Factorise a quadratic expression
1★ Factorise a quadratic resulting in (x + a)(x + b)
Factorise a quadratic expression
2★ Factorise a quadratic resulting in (x + a)(x - b)
Factorise a quadratic expression
2★ Factorise a quadratic resulting in (x + a)(x - b)
Factorise a quadratic expression
3★ Factorise a quadratic resulting in (x - a)(x - b)
Factorise a quadratic expression
3★ Factorise a quadratic resulting in (x - a)(x - b)
Factorise a quadratic expression
4★ Factorise a quadratic resulting in (x + a)(x - a)
Factorise a quadratic expression
4★ Factorise a quadratic resulting in (x + a)(x - a)
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
1★ Solve a quadratic resulting in (x + a)(x + b)
Solve a quadratic by factorising
1★ Solve a quadratic resulting in (x + a)(x + b)
Solve a quadratic by factorising
2★ Solve a quadratic resulting in (x + a)(x - b)
Solve a quadratic by factorising
3★ Solve a quadratic resulting in (x - a)(x - b)
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
Solving quadratics in disguise
2★ Solving like a quadatic involving rearrangement
Solving quadratics in disguise
3★ Solve like a quadratic involving fractional powers
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 scaffold 1
Complete the square
2★ Completing the square scaffold 2
Complete the square
3★ Completing the square where b is divisible by 2 in quadratic
Complete the square
4★ Completing the square where b is not divisible by 2 in quadratic
Complete the square
5★ Find the minimum point of a function
Complete the square
5★ Find the minimum point of a function
Complete the square
6★ Graphical translation
Solve a quadratic by completing the square
1★ Solve by completing the square scaffold 1
Solve a quadratic by completing the square
2★ Solve by completing the square scaffold 2
Solve a quadratic by completing the square
3★ Solve by completing the square where b is divisible by 2 in quadratic
Solve a quadratic by completing the square
4★ Solve by completing the square where b is not divisible by 2 in quadratic
Solve a quadratic by completing the square
5★ Harder solve by completing the square
Solve a quadratic by completing the square
6★ Positive or negative value of a
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 a correctly used formula find the quadratic equation
Solve a quadratic by using the formula
4★ Use of the discriminant
Solve a quadratic by using the formula
4★ Use of the discriminant
Solve a quadratic by using the formula
5★ Solving quadratics by using the quadratic formula
Graph transformations
1★ Describe a transformation in words (quadratics)
Graph transformations
1★ Describe a transformation in words (quadratics)
Graph transformations
2★ Effect of a transformation on a single point (quadratics)
Graph transformations
2★ Effect of a transformation on a single point (quadratics)
Graph transformations
3★ Identify the function of a quadratic graph transformation
Graph transformations
3★ Identify the function of a quadratic graph transformation
Graph transformations
4★ Draw the function of a quadratic graph transformation
Graph transformations
5★ Effect of a transformation on a single point (trig graphs)
Graph transformations
5★ Effect of a transformation on a single point (trig graphs)
Graph transformations
6★ Draw/Identify a trig graph transformation
Graph transformations
6★ Draw/Identify a trig graph transformation
Use simple function machines
1★ 1 step finding output
Use simple function machines
2★ 2 step finding output
Use simple function machines
3★ 2 step finding input
Use simple function machines
4★ 2 step finding a missing operation
Use simple function machines
5★ 2 step algebraic output
Use simple function machines
6★ 2 step finding a missing operation given algebraic output
Identify domain and range
1★ 1 step finding the range
Identify domain and range
1★ 1 step finding the range
Identify domain and range
2★ 1 step finding range or domain
Identify domain and range
2★ 1 step finding range or domain
Identify domain and range
3★ 2 step finding the range
Identify domain and range
3★ 2 step finding the range
Identify domain and range
4★ 2 step finding range or domain
Identify domain and range
4★ 2 step finding range or domain
Identify domain and range
5★ Find the range given a function
Identify domain and range
6★ Find restrictions for a given function
Use composite functions
1★ Substitute values into simple composite functions
Use composite functions
2★ Substitute values into harder composite functions
Use composite functions
3★ Substitute values into composite functions involving powers
Use composite functions
4★ Algebraically simplify composite functions
Use composite functions
5★ Problem solving
Iterations
1★ Find the next term
Iterations
2★ Find the third or fourth term
Iterations
3★ Word problem with a given formula
Iterations
4★ Find a term given a rearrangement
Iterations
5★ Show that an equation can be rearranged to a given form
Iterations
6★ Find a solution given a rearrangement and two starting values
Inverse functions
1★ 1 step rearrangement
Inverse functions
2★ 2 step rearrangement
Inverse functions
3★ Rearrangement involving fractions
Inverse functions
4★ Rearrangement involving powers
Inverse functions
5★ Rearrangement involving completing the square
Read/Represent inequalities on a number line
1★ Interpreting a not equal to representation
Read/Represent inequalities on a number line
1★ Interpreting a not equal to representation
Read/Represent inequalities on a number line
2★ Interpreting an equal to representation
Read/Represent inequalities on a number line
2★ Interpreting an equal to representation
Read/Represent inequalities on a number line
3★ Interpreting a mixture of first 2 tasks
Read/Represent inequalities on a number line
4★ Represent an inequality on a number line
Read/Represent inequalities on a number line
5★ Interpreting a compound inequality
Read/Represent inequalities on a number line
6★ Represent a compound inequality on a number line
Solve linear inequalitities
1★ Solve a 1 step inequality (inc add or subtract)
Solve linear inequalitities
2★ Solve a 1 step inequality (inc multiply or divide)
Solve linear inequalitities
2★ Solve a 1 step inequality (inc multiply or divide)
Solve linear inequalitities
3★ Solve a 2 step inequality
Solve linear inequalitities
3★ Solve a 2 step inequality
Solve linear inequalitities
4★ Solve a simple inequality with a negative coefficient of x
Solve linear inequalitities
4★ Solve a simple inequality with a negative coefficient of x
Solve linear inequalitities
5★ Solve a 2 step inequality with a negative coefficient of x
Solve linear inequalitities
5★ Solve a 2 step inequality with a negative coefficient of x
Solve linear inequalitities
6★ Solve a compound inequality
Graphical inequalities
1★ Identify the linear inequality from a graph
Graphical inequalities
1★ Identify the linear inequality from a graph
Graphical inequalities
1★ Identify the linear inequality from a graph
Graphical inequalities
2★ Sketch the linear inequality
Graphical inequalities
2★ Sketch the linear inequality
Graphical inequalities
3★ Identify the inequalities that satisfy a given region
Graphical inequalities
4★ Identify the inequalities that satisfy a given region (inc y - x > a)
Graphical inequalities
5★ State the coordinates of points that satisfy the given region
Solve quadratic inequalities
1★ Graphically solve a quadratic inequality (part i)
Solve quadratic inequalities
2★ Graphically solve a quadratic inequality (part ii)
Solve quadratic inequalities
3★ Solve a simple quadratic inequality
Solve quadratic inequalities
4★ Solve a quadratic inequality (where a is 1)
Solve quadratic inequalities
5★ Solve a quadratic inequality (where a is not 1)
Solve quadratic inequalities
6★ Solve a quadratic inequality (where a is not 1) involving rearrangement
Recognise common sequences
1★ Continue for the next two terms for an arithmetic sequence
Recognise common sequences
2★ Continue for the next two terms for a geometric sequence
Recognise common sequences
3★ Continue for the next two terms the square/triangular number sequence
Recognise common sequences
4★ Continue for the next two terms for a Fibonacci sequence
Recognise common sequences
5★ Continue for the next two terms a periodic sequence
Recognise common sequences
6★ Continue for the next two terms a fractional sequence
Understand linear sequences
1★ Continue for the next two terms
Understand linear sequences
2★ Find the missing middle two values
Understand linear sequences
3★ Write the first 4 terms given the nth term rule
Understand linear sequences
3★ Write the first 4 terms given the nth term rule
Understand linear sequences
4★ Find the nth term rule
Understand linear sequences
4★ Find the nth term rule
Understand linear sequences
4★ Find the nth term rule
Understand linear sequences
5★ Is a number part of the sequence?
Understand linear sequences
6★ Given 2nd and 4th term find 100th term
Understand geometric sequences
1★ Is it geometric?
Understand geometric sequences
2★ Find the next 2 terms (integer common ratio)
Understand geometric sequences
3★ Find the next 2 terms (decimal common ratio)
Understand geometric sequences
3★ Find the next 2 terms (decimal common ratio)
Understand geometric sequences
4★ Given the first term and common ratio, find the first 3 terms
Understand geometric sequences
5★ Given an algebraic rule and the first term, find a specific term
Understand geometric sequences
6★ Problem solving
Algebraic sequences
1★ Continue an arithmetic or Fibonacci sequence
Algebraic sequences
2★ Continue a geometric sequence
Algebraic sequences
3★ Show the sixth term is ...
Algebraic sequences
4★ Find the nth term
Algebraic sequences
5★ Given 2 terms, find the unknowns
Understand quadratic sequences
1★ Continue for the next two terms
Understand quadratic sequences
2★ Write the first 4 terms given the nth term rule
Understand quadratic sequences
3★ Find the nth term rule (where rule is an^2)
Understand quadratic sequences
4★ Find the nth term rule (where rule is n^2+bn+c)
Understand quadratic sequences
5★ Find the nth term rule (where rule is an^2+bn+c)
Understand quadratic sequences
6★ Use the nth term rule (where rule is an^2+bn+c)
Solve linear simultaneous equations
1★ Has a common term with the same coefficient
Solve linear simultaneous equations
2★ Has a common term but different signs
Solve linear simultaneous equations
3★ All coefficients are different
Solve linear simultaneous equations
4★ Word problem
Solve linear simultaneous equations
5★ Rearrangement required
Solve linear simultaneous equations
6★ Form and solve simultaneous equations
Solve non linear simultaneous equations
1★ A simple quadratic and 1 straight line
Solve non linear simultaneous equations
2★ A quadratic and a straight line
Solve non linear simultaneous equations
3★ A reciprocal graph and a straight line
Solve non linear simultaneous equations
4★ A circle and a straight line (integer answers)
Solve non linear simultaneous equations
5★ A circle and a straight line (decimal answers)
Substitute into expressions/formula
1★ Substitute positive values into a 1 step expression
Substitute into expressions/formula
2★ Substitute positive values into a 2 step expression
Substitute into expressions/formula
3★ Substitute negative values into an expression
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 into a function
Form expressions and equations
1★ Create a simple expression
Form expressions and equations
2★ I think of a number (2 step expression)
Form expressions and equations
3★ I think of a number (inc fraction)
Form expressions and equations
4★ Multi step problem
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★ What makes a good hypothesiss
Data handling cycle
3★ Types of data
Data handling cycle
3★ Types of data
Data handling cycle
4★ What makes a good/bad survey question
Data handling cycle
4★ What makes a good/bad survey question
Data handling cycle
5★ Types of sampling
Data handling cycle
6★ 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
Capture recapture
1★ Find an easy estimate of the population
Capture recapture
2★ Find the estimate of a population
Capture recapture
3★ Find the estimate of a population given the percentage with tags
Capture recapture
4★ Critically analyse the sampling technique
Two-way tables
1★ Create a simple two way table from images
Two-way tables
2★ Find totals
Two-way tables
3★ Complete missing values
Two-way tables
4★ Calculate probabilities/values from a two way table
Two-way tables
5★ Word problems
Two-way tables
5★ Word problems
Two-way tables
5★ Word problems
Two-way tables
6★ Multi-skill problem solving
Calculate averages from a list
1★ Calculate the mode
Calculate averages from a list
2★ Calculate the median (odd number of values)
Calculate averages from a list
3★ Calculate the median (even number of values)
Calculate averages from a list
4★ Calculate the mean
Calculate averages from a list
5★ Calculate missing 4th value given the mean
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
1★ Calculate IQR (easy ordered list)
Calculate quartiles from a list
2★ Calculate IQR (unordered list with easy quartiles)
Calculate quartiles from a list
2★ Calculate IQR (unordered list with easy quartiles)
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
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 the list
Which average should you use?
1★ Which average gives best/worst result?
Which average should you use?
1★ Which average gives best/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
Calculate the mode/mean from a frequency table
1★ Calculate the mode
Calculate the mode/mean from a frequency table
2★ Calculate the total score
Calculate the mode/mean from a frequency table
3★ Calculate the mean
Calculate the mode/mean from a frequency table
4★ Calculate an estimate of the mean
Calculate the mode/mean from a frequency table
5★ Calculate a missing score given the mean
Calculate the mode/mean from a frequency table
6★ Calculate a missing frequency given the mean
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
Calculate the median/IQR from a frequency table
3★ Use linear interpolation to find the median (always the midpoint of the interval)
Calculate the median/IQR from a frequency table
4★ Use linear interpolation to find the median (never the midpoint of the interval)
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 (inc key where data values are integers)
Stem and leaf diagrams
2★ Draw a stem and leaf diagram (inc key where data values are decimals)
Stem and leaf diagrams
3★ Interpret a stem and leaf diagram (how many were over?/What fraction were under?)
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 back to back stem and leaf
Draw/Interpret a frequency polygon
1★ Draw a frequency polygon
Draw/Interpret a frequency polygon
2★ Interpret frequencies 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
Draw/Interpret cumulative frequency
1★ Construct a cumulative frequency table
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
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
3★ Estimate a median from a cumulative frequency 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
4★ Estimate the interquartile range 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 cumulative frequency
5★ Estimate the number of people that scored more or less than an amount 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 (e.g. IQR)
Draw/Interpret a box plot
4★ Analyze proportions represented
Draw/Interpret a box plot
4★ Analyze proportions represented
Draw/Interpret a box plot
5★ Calculate median, inter-quartile range or range from a box plot
Draw/Interpret a box plot
5★ Calculate median, inter-quartile range or range from a box plot
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
Draw/Interpret a box plot
6★ Make comparisons between 2 box plots
Draw/Interpret a bar chart
1★ Create a tally chart from a list of data
Draw/Interpret a bar chart
2★ Interpret a tally chart
Draw/Interpret a bar chart
3★ Draw a bar chart
Draw/Interpret a bar chart
4★ Interpret least/most common or frequency from a bar chart
Draw/Interpret a bar chart
5★ 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
Draw/Interpret a composite bar chart
3★ Interpret proportions from a composite bar chart
Draw/Interpret a histogram
1★ Complete a frequency density table
Draw/Interpret a histogram
2★ Complete a frequency density table (harder)
Draw/Interpret a histogram
3★ Estimate how many got greater than a score from a histogram
Draw/Interpret a histogram
4★ Estimate how many got greater than a score from a frequency table
Draw/Interpret a histogram
5★ Construct a frequency table from a histogram
Draw/Interpret a histogram
6★ Interpret a histogram
Construct a pictograph
1★ Identify least/most common or total (easy key)
Construct a pictograph
2★ Identify least/most common or total (tricky key)
Construct a pictograph
3★ Find the frequency of a category or total frequency
Construct a pictograph
4★ Draw a pictograph (easy key)
Construct a pictograph
5★ Draw a pictograph (tricky key)
Construct a pictograph
6★ Find the percentage who answered a category
Construct a pie chart
1★ Draw a pie chart (total freq 360 with items factors of 360)
Construct a pie chart
2★ Draw a pie chart (total freq 90 or 180)
Construct a pie chart
3★ Draw a pie chart (total freq factor of 360)
Construct a pie chart
4★ Calculate the angles needed to construct a pie chart (random total freq)
Construct a pie chart
5★ Draw a pie chart (random total freq)
Construct a pie chart
6★ Problem solving
Interpret a pie chart
1★ Find the mode
Interpret a pie chart
2★ Calculate the fraction represented by a sector
Interpret a pie chart
3★ Frequency of a sector, calculate total frequency
Interpret a pie chart
4★ Given the percentage represented by 2 sectors and the total calculate the number in third sector
Draw/Interpret a scatter graph
1★ Plot a scatter diagram
Draw/Interpret a scatter graph
2★ Describe the correlation
Draw/Interpret a scatter graph
3★ Draw a line of best fit
Draw/Interpret a scatter graph
4★ Estimate from a line of best fit
Draw/Interpret a scatter graph
5★ Identify anomalies from a graph
PMCC and regression line
1★ Comment on correlation
PMCC and regression line
2★ Find the PMCC
PMCC and regression line
3★ Interpret the PMCC
PMCC and regression line
4★ Calculate the regression line
PMCC and regression line
5★ Interpolate/extrapolate using a regression line
PMCC and regression line
6★ Limitations of using a regression line
Standard deviation
1★ Substitute into formula
Standard deviation
2★ Find sd from sample
Standard deviation
3★ Find sd from population
Standard deviation
4★ Comment on results
Standard deviation
5★ Percentage of data within 1 sd
Standard deviation
6★ Find sd from a frequency table
Normal distribution
1★ Calculate the z-score
Normal distribution
2★ Find P(X < ?) where Z > 0
Normal distribution
3★ Find P(X < ?) or 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
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★ Most people will fail this question
Facebook maths
2★ Values of fruit
Facebook maths
3★ Order of operation circles
Place value
1★ Interpret the blocks
Place value
2★ Read the place value (integers)
Place value
3★ 100/10/1 more or less than
Place value
4★ Read the place value (decimals)
Place value
5★ Convert words into numbers
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
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
1★ Commutative law (simple)
Commutative, associative and distributive laws
2★ Commutative law
Commutative, associative and distributive laws
3★ Associative law
Commutative, associative and distributive laws
4★ Distributive law
Commutative, associative and distributive laws
5★ Identify the law
Commutative, associative and distributive laws
6★ Evaluate calculations
Related calculations
1★ Simple rearrangement
Related calculations
2★ Rearrangement inc positive powers of 10
Related calculations
3★ Rearrangement inc negative powers of 10
Related calculations
4★ Rearrangement inc negative power of 10 (harder)
Factors and multiples
1★ Write down all the factors of a number
Factors and multiples
2★ Write down all the multiples of a number
Factors and multiples
3★ Find a common factor of 2 numbers
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
1★ Write down a specific prime number
Prime factors
2★ Calculate the number from a product of its prime factors
Prime factors
3★ Write a number as product of its prime factors
Prime factors
4★ Finish an incomplete product of prime factors
Prime factors
5★ Find the LCM or HCF of 2 numbers
Prime factors
5★ Find the LCM or HCF of 2 numbers
Prime factors
6★ Problem solving
Order of operations
1★ Simple calculation
Order of operations
2★ Calculation inc brackets
Order of operations
3★ Calculation inc brackets and powers
Order of operations
4★ Calculation inc multisteps
Order of operations
5★ Calculation inc fraction
Order of operations
6★ Insert brackets to make a calculation true
Interpret fractions
1★ Identify the unit fraction
Interpret fractions
2★ Shade the unit fraction
Interpret fractions
3★ Read simple fractions
Interpret fractions
4★ Represent simple fractions
Interpret fractions
5★ Understanding shaded rows and columns
Interpret fractions
5★ Understanding shaded rows and columns
Interpret fractions
6★ Write as a mixed number
Equivalent fractions
1★ Simplify a fraction (given simplified denominator)
Equivalent fractions
2★ Simplify a fraction
Equivalent fractions
3★ Compare 2 fractions
Equivalent fractions
4★ Would you rather? Comparing 2 sectors
Equivalent fractions
5★ Find half way between 2 fractions
Equivalent fractions
6★ Convert to and from a mixed number
Equivalent fractions
6★ Convert to and from a mixed number
Reciprocals of numbers
1★ Product makes 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 numbers > 1
Reciprocals of numbers
6★ Equivalent fraction fill in the blank reciprocals
Add or subtract fractions
1★ Complete the whole
Add or subtract fractions
2★ Common denominators
Add or subtract fractions
3★ Different denominators
Add or subtract fractions
4★ Add or subtract 3 fractions
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 amount shaded as a fraction of the total
Write one number as a fraction of another
1★ Write 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
2★ Write one number as a fraction of another
Write one number as a fraction of another
3★ Understanding complements in fraction totals
Write one number as a fraction of another
3★ Understanding complements in fraction totals
Write one number as a fraction of another
4★ Different units
Write one number as a fraction of another
4★ Different units
Write one number as a fraction of another
5★ Multi-step problems
Write one number as a fraction of another
5★ Multi-step problems
Write one number as a fraction of another
6★ Equivalent fraction problem
Fraction of an amount (part i)
1★ Multiply a fraction by an integer
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)
3★ Find a fraction of an amount
Fraction of an amount (part i)
4★ Which is larger?
Fraction of an amount (part i)
5★ Word problems
Fraction of an amount (part i)
6★ Fraction of one amount is equal to fraction of 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)
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★ Product makes 1
Multiply or divide fractions
2★ Integer by a fraction
Multiply or divide fractions
3★ 2 fractions
Multiply or divide fractions
3★ 2 fractions
Multiply or divide fractions
4★ 3 fractions
Multiply or divide fractions
5★ Mixed numbers
Multiply or divide fractions
6★ Simple algebraic fractions
Multiply or divide fractions
6★ Simple algebraic fractions
FDP conversion
1★ Convert between common FDP
FDP conversion
2★ Convert between FDP
FDP conversion
2★ Convert between FDP
FDP conversion
2★ Convert between FDP
FDP conversion
3★ Are 2 numbers equal?
FDP conversion
4★ Order FDP
FDP conversion
5★ Convert a recurring decimal to a fraction
FDP conversion
6★ Convert a recurring decimal to a fraction (harder)
Order numbers
1★ Order positive integers
Order numbers
2★ Order positives and negatives
Order numbers
3★ Order decimals
Order numbers
4★ Order FDP
Order numbers
5★ Order fractions
Order numbers
6★ Order numbers written in standard form
Order numbers
6★ Order numbers written in standard form
Efficient use of a calculator
1★ Calculator familiarisation
Efficient use of a calculator
1★ Calculator familiarisation
Efficient use of a calculator
2★ Simple operations to input
Efficient use of a calculator
2★ Simple operations to input
Efficient use of a calculator
3★ Using special calculator functions
Efficient use of a calculator
3★ Using special calculator functions
Efficient use of a calculator
4★ Issues with negative numbers
Efficient use of a calculator
5★ Standard form on a calculator
Efficient use of a calculator
6★ Fraction calculations
Operate with integers (+ and -)
1★ Numbers bonds
Operate with integers (+ and -)
2★ Key vocabulary
Operate with integers (+ and -)
2★ Key vocabulary
Operate with integers (+ and -)
3★ U ± U
Operate with integers (+ and -)
4★ TU ± TU
Operate with integers (+ and -)
4★ TU ± TU
Operate with integers (+ and -)
4★ TU ± TU
Operate with integers (+ and -)
4★ TU ± TU
Operate with integers (+ and -)
5★ HTU ± TU
Operate with integers (+ and -)
5★ HTU ± TU
Operate with integers (+ and -)
5★ HTU ± TU
Operate with integers (+ and -)
6★ Directed numbers
Operate with integers (+ and -)
6★ Directed numbers
Operate with integers (+ and -)
6★ Directed numbers
Operate with integers (x and ÷)
1★ Times tables
Operate with integers (x and ÷)
1★ Times tables
Operate with integers (x and ÷)
2★ Key vocabulary
Operate with integers (x and ÷)
3★ TU x÷ U
Operate with integers (x and ÷)
3★ TU x÷ U
Operate with integers (x and ÷)
3★ TU x÷ U
Operate with integers (x and ÷)
4★ HTU x÷ TU
Operate with integers (x and ÷)
4★ HTU x÷ TU
Operate with integers (x and ÷)
4★ HTU x÷ TU
Operate with integers (x and ÷)
5★ Directed numbers
Operate with integers (x and ÷)
5★ Directed numbers
Operate with integers (x and ÷)
5★ Directed numbers
Column multiplication
1★ TU x U
Column multiplication
1★ TU x U
Column multiplication
2★ TU x TU
Column multiplication
2★ TU x TU
Column multiplication
3★ HTU x TU
Column multiplication
3★ HTU x TU
Column multiplication
4★ Identify the last digit of a multiplication
Column multiplication
4★ Identify the last digit of a multiplication
Column multiplication
4★ Identify the last digit of a multiplication
Column multiplication
5★ Fill in the missing number HTU x TU
Column multiplication
5★ Fill in the missing number HTU x TU
Column multiplication
6★ HTU x HTU
Short division
1★ Inverse times tables
Short division
1★ Inverse times tables
Short division
2★ Division by integer with integer answer
Short division
3★ Complete the short division calculation
Short division
3★ Complete the short division calculation
Short division
4★ Division by integer with decimal answer
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 a product find how many
Product rule for counting
4★ Problem solving
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 -)
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 ÷)
3★ Decimal (1dp) x÷ integer
Operate with decimals (x and ÷)
4★ Decimal x÷ decimal
Operate with decimals (x and ÷)
4★ Decimal x÷ decimal
Operate with decimals (x and ÷)
4★ Decimal x÷ decimal
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★ Buy 1 each of two items
Money problems
2★ Buy multiple items
Money problems
3★ Buy multiple items with different units
Money problems
4★ Calculating change
Money problems
5★ How many can I buy?
Money problems
6★ What proportion of the total cost does it represent?
Money problems - payment plans
1★ How much do I pay each month? (No deposit)
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
2★ How much do I pay each month? (With deposit)
Money problems - payment plans
3★ Is it better to buy now or spread the payments?
Money problems - payment plans
3★ Is it better 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
1★ Calculating gross pay
Pay slips
2★ Calculating gross pay inc overtime
Pay slips
2★ Calculating gross pay inc overtime
Pay slips
3★ Calculating the total deductions or net pay
Pay slips
3★ Calculating the total deductions or net pay
Pay slips
3★ Calculating the total deductions or net pay
Pay slips
3★ Calculating the total deductions or net pay
Pay slips
4★ Income basic rate tax calculation
Pay slips
5★ Income higher rate tax calculation
Pay slips
6★ Calculate National Insurance
Percentage of an amount
1★ Percentage to find is a multiple of 10
Percentage of an amount
1★ Percentage to find is a multiple of 10
Percentage of an amount
2★ Percentage to find is a multiple of 5 (exc multiples of 10)
Percentage of an amount
2★ Percentage to find is a multiple of 5 (exc multiples of 10)
Percentage of an amount
3★ Percentage to find is a multiple of 1
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
5★ Percentage to find is a multiple of 0.5
Percentage of an amount
6★ Problem solving - two way table
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
4★ Find a simple percentage change
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
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
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
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★ Calculator use
Increase/decrease by a percentage
6★ Problem solving
Reverse percentage
1★ Number bonds
Reverse percentage
2★ Calculator use
Reverse percentage
2★ Calculator use
Reverse percentage
3★ Simple reverse percentage
Reverse percentage
3★ Simple reverse percentage
Reverse percentage
4★ Compound interest/decay
Simple interest
1★ Interest earned after 1 year
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★ Calculator use
Calculate growth/decay
1★ Calculator use
Calculate growth/decay
2★ Growth/decay percentage is an integer
Calculate growth/decay
2★ Growth/decay percentage is an integer
Calculate growth/decay
3★ Growth/decay percentage is a decimal (1dp)
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
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 calculations
Fermi
1★ Key facts
Fermi
2★ Key conversion questions
Fermi
3★ Short Fermi questions
Truncation
1★ Truncate to 10, 100 or 1000
Truncation
1★ Truncate to 10, 100 or 1000
Truncation
2★ Truncate to dp or sf
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★ Worded problem
Basic rules of rounding (inc dp and bounds)
1★ Round to the nearest 100
Basic rules of rounding (inc dp and bounds)
1★ Round to the nearest 100
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)
2★ Round to the nearest 10
Basic rules of rounding (inc dp and bounds)
2★ Round to the nearest 10
Basic rules of rounding (inc dp and bounds)
3★ Round to the nearest integer
Basic rules of rounding (inc dp and bounds)
3★ Round to the nearest integer
Basic rules of rounding (inc dp and bounds)
4★ Round to 1dp
Basic rules of rounding (inc dp and bounds)
5★ Round to 2dp
Basic rules of rounding (inc dp and bounds)
5★ Round to 2dp
Basic rules of rounding (inc dp and bounds)
6★ Bounds
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★ Bounds
Upper and lower bound calculations
1★ Define the bounds of a number
Upper and lower bound calculations
2★ Bounds of addition and multiplication
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
3★ Bounds of subtraction and division
Upper and lower bound calculations
4★ Mixture of operations
Upper and lower bound calculations
4★ Mixture of operations
Upper and lower bound calculations
5★ Compound measures with bounds
Upper and lower bound calculations
6★ Use of bounds in other topics
Squares, cubes and roots
1★ Counting squares
Squares, cubes and roots
2★ Square numbers up to 225
Squares, cubes and roots
3★ Square roots
Squares, cubes and roots
4★ Operating with squares and roots
Squares, cubes and roots
5★ Cube numbers
Squares, cubes and roots
6★ Operating with squares, cubes and roots
Use the laws of indices
1★ 1st index law - multiplying terms
Use the laws of indices
2★ 2nd index law - dividing terms
Use the laws of indices
3★ Mixture of 1st and 2nd index law
Use the laws of indices
4★ 3rd index law - power of power
Use the laws of indices
5★ Harder 3rd index law involving algebra