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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
3★ Equating coefficients (quadratics)

Algebraic proof
1★ Provide a counterexample to disprove a statement

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
4★ Show that an expression is 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
4★ Collecting two or more variables

Simplify an expression
5★ Collecting two or more variables inc powers

Simplify an expression
6★ Shape geometry

Algebraic fractions
1★ Simplify

Algebraic fractions
2★ Add and subtract

Algebraic fractions
3★ Simplify (inc. factorising)

Algebraic fractions
4★ Multiply or divide

Algebraic fractions
5★ Add or subtract with denominator expressions

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 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
3★ Finding positive gradient

Find y = mx + c from a graph
4★ Finding negative gradient

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
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
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
5★ Find gradient 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
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 perpendicular line
1★ Write the perpendicular gradient to a given gradient

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
5★ Given 2 equations of lines, are they perpendicular?

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

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

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

Reciprocal functions
1★ Table of values

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)
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)
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)
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 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)
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
2★ Collecting the sum or difference of two brackets

Solve linear equations with brackets
3★ Unknowns on both sides with bractkets

Solve linear equations with brackets
4★ Fractional multiplier

Solve linear equations with brackets
5★ Brackets on both sides

Solve rational equations
1★ Solve a simple rational equation

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

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
3★ Multiplying 𝑥 over 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
6★ Identify unknowns in an identity

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
3★ Difference of two squares

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
6★ Product of 3 brackets

Factorise a simple expression
1★ Factorise simple linear expressions

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
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
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
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
2★ Solve a quadratic resulting in (x + a)(x - b)

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

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
4★ Use of the discriminant

Graph transformations
1★ Describe a transformation in words (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
5★ Effect of a transformation on a single point (trig graphs)

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
2★ 1 step finding range or domain

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
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

Iterations
1★ Find the next term

Iterations
2★ Find the third or fourth term

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
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
3★ Solve a 2 step inequality

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
6★ Solve a compound inequality

Graphical inequalities
1★ Identify the linear inequality from a graph

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

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
4★ Find the nth term rule

Understand linear sequences
5★ Is a number part of the sequence?

Understand geometric sequences
1★ Is it geometric?

Understand geometric sequences
2★ Find the next 2 terms (integer 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

Algebraic sequences
1★ Continue an arithmetic or Fibonacci sequence

Solve linear simultaneous equations
1★ Has a common term with the same coefficient

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
3★ Types of data

Data handling cycle
4★ What makes a good/bad survey question

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

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 and median

Calculate the mode/mean from a frequency table
1★ Calculate the mode

Calculate the mode/mean from a frequency table
2★ Calculate the mean

Calculate the mode/mean from a frequency table
3★ Calculate an estimate of the mean

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

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?)

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 histogram
1★ Complete a frequency density table

Draw/Interpret a histogram
2★ Complete a frequency density table (harder)

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

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)

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

Normal distribution
1★ Calculate the z-score

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

Facebook maths
1★ Most people will fail this question

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

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
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

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
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

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

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
6★ Simple algebraic fractions

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)
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)
4★ Increase or decrease by a fraction

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

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
4★ 3 fractions

Multiply or divide fractions
6★ Simple algebraic fractions

FDP conversion
2★ Convert between FDP

FDP conversion
3★ Are 2 numbers equal?

Order numbers
1★ Order positive integers

Operate with integers (+ and -)
1★ Numbers bonds

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 -)
5★ HTU ± TU

Operate with integers (+ and -)
6★ Directed numbers

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

Operate with integers (x and ÷)
3★ TU x÷ U

Column multiplication
1★ TU x U

Column multiplication
2★ TU x TU

Column multiplication
3★ HTU x TU

Column multiplication
4★ Identify the last digit of a multiplication

Column multiplication
5★ Fill in the missing number HTU x TU

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
4★ Division by integer with decimal answer

Short division
5★ Dividing decimal by integer

Short division
6★ Dividing an integer by a decimal

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?

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
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 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

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

Reverse percentage
1★ Number bonds

Reverse percentage
2★ Calculator use

Reverse percentage
3★ Simple reverse percentage

Calculate growth/decay
1★ Calculator use

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

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

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

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

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

Use the laws of indices
6★ Write as a single power of a number

Equating bases
1★ Mixed index laws

Equating bases
2★ Write as a power of ...

Equating bases
3★ Simplify index laws and write as a power of ...

Equating bases
4★ Simplify a complex problem and write as a power of ...

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
2★ To the power of a negative number

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★ To the power of -1

Decimals/fractions with negative/fractional indices
2★ To the power of a negative 2

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

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

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

Simplify a surd
1★ Find a missing number within the root

Simplify a surd
2★ Find the missing 2 numbers within the root

Simplify a surd
3★ Find the missing root

Simplify a surd
4★ Find the missing two roots

Simplify a surd
5★ Simplify a surd

Operate with surds
1★ Add and subtract common surds

Operate with surds
2★ Simplify one surd before adding or subtracting

Operate with surds
3★ Multiplication of surds

Operate with surds
4★ Division of surds

Rationalise the denominator
1★ How would you rationalise ...?

Rationalise the denominator
2★ Rationalise a unit fraction

Rationalise the denominator
3★ Rationalise a denominator

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

Measuring/Drawing angles
1★ Angle types

Measuring/Drawing angles
2★ Measuring acute/90°/obtuse angles

Measuring/Drawing angles
3★ Correctly interpret a protractor

Measuring/Drawing angles
4★ Reading acute/90°/obtuse angles

Measuring/Drawing angles
5★ Measure a reflex angle

Measuring/Drawing angles
6★ Draw a reflex angle

Constructions/loci
3★ Constructing an angle bisector

90°, 180°, and 360° angles
1★ Angles on a straight line

90°, 180°, and 360° angles
2★ Vertically opposite angles

90°, 180°, and 360° angles
3★ Angles in 90°

90°, 180°, and 360° angles
4★ Angles around a point

90°, 180°, and 360° angles
5★ Algebraic angles around a point

Angles in triangles
1★ Triangle names

Angles in triangles
2★ Angles in a triangle

Angles in triangles
3★ Angles in an equilateral triangle

Angles in triangles
4★ Angles in a right angle triangle

Angles in triangles
5★ Angles in an isosceles triangle

Angles in triangles
6★ Combining triangles

Angles on parallel lines
1★ Revision of all angle types

Angles on parallel lines
2★ 2 step problems involving angles on a straight line

Angles on parallel lines
3★ Form and solve an equation

Angles on parallel lines
4★ Geometry problems

Angles in polygons
1★ Find the interior angle sum

Angles in polygons
2★ Find a missing angle

Angles in polygons
3★ Will it tesselate?

Bearings
1★ Measuring a bearing

Bearings
2★ Drawing a bearing

Bearings
3★ Return bearing from a diagram

Bearings
5★ Incorrect given bearing information

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

Similar shapes
3★ Geometry problem L1 (using a scale factor)

Area of 2D shapes
1★ Counting squares

Area of 2D shapes
2★ Area of a triangle or rectangle

Area of 2D shapes
3★ Area of a parallelogram

Area of 2D shapes
4★ Area of a trapezium

Area of 2D shapes
5★ Area of a hexagon

Area of 2D shapes
6★ Given 2 shapes and the area of 1, calculate missing length of the other

Reverse area of 2D shapes
1★ Reverse area of a rectangle

Area of composite shapes
1★ Combining rectangles

Area of composite shapes
2★ Combining triangles

Area of composite shapes
3★ Combining triangles and rectangles

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

Area of a circle
2★ Calculate the area given the diameter

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

Apply Pythagoras' Theorem
1★ Calculate the hypotenuse

Apply Pythagoras' Theorem
2★ Calculate a shorter side

Apply Pythagoras' Theorem
3★ Mixture of shorter side and hypotenuse calculation

Apply Pythagoras' Theorem
5★ Calculate the distance between 2 points

Apply SOH CAH TOA
1★ Finding a length given an approximate trig value

Apply SOH CAH TOA
2★ Apply trigonometry to calculate a side

Area of a triangle (trigonometry)
3★ Calculating areas

Trigonometry exact values
3★ Exact values arithmetic

Volume of 3D shapes
2★ Calculate the volume of a cuboid

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

Volume of 3D shapes
4★ Calculate the volume of a cylinder or prism

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

Calculate relative/expected frequency
1★ Find the relative frequency where the total is 100

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 isn't given

Conversion of units
1★ Conversion between units of length, mass and volume

Simplify a ratio
1★ Simplify a:b

Simplify a ratio
2★ Simplify to the form 1:n

Simplify a ratio
3★ Simplify a:b:c

Simplify a ratio
4★ Simplify a simple algebraic ratio

Divide a quantity into a given ratio
1★ Divide an amount into a:b

Divide a quantity into a given ratio
2★ Divide an amount into a:b:c

Multiplicative operations with ratios
1★ Given an equation write the fraction

Multiplicative operations with ratios
2★ Given an equation write the ratio

Multiplicative operations with ratios
3★ Given a harder equation write the ratio

Multiplicative operations with ratios
4★ Given two ratios are equal write the equation

Multiplicative operations with ratios
5★ Problem solving with multiplicative ratios

Multiplicative operations with ratios
6★ Using multiplicative operations with ratios in other topics

Best buys
1★ Comparing 2 offers (same quantities but different prices £)

Best buys
2★ Comparing 2 offers (different quantities and different prices £)

Best buys
3★ Comparing 2 offers (different quantities and different prices £pp)

Best buys
4★ Comparing 2 offers (different units, quantities and prices)

Currency conversion
1★ Convert pounds into another currency (£1:...)

Currency conversion
2★ Convert to pounds from another currency

Direct proportion
1★ Simple direct proportion

Direct proportion
2★ Ingredients direct proportion

Direct proportion
3★ What is the most I can make?

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

Inverse proportion
2★ Word inverse proportion

Inverse proportion
3★ Inverse proportion linear model

Inverse proportion
4★ Inverse proportion non linear model

Awaiting development

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

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

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 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

Using and exploring y = mx + c - 6★ Find the equation of a line given 2 points

Find the equation of a perpendicular line - 2★ Given coordinates for two 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 - 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

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

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 - 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 - 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 - 2★ Identify specific coordinates on a graph

Trigonometry graphs - 3★ Sketch a graph

Trigonometry graphs - 4★ Find another solution using a graph

Trigonometry graphs - 5★ Find another solution without the aid of a graph

Solve linear equations with brackets - 6★ Brackets in brackets

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

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 - 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 - 3★ Given a correctly used formula find the quadratic equation

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

Graph transformations - 4★ Draw the function of a quadratic graph transformation

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 - 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

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

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

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

Understand geometric sequences - 6★ Problem solving

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 - 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)

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 - 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

Two-way tables - 5★ Word problems

Two-way tables - 6★ Multi-skill problem solving

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 the list

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 - 5★ 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 - 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 - 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 (e.g. IQR)

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 - 6★ Make comparisons between 2 box plots

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 - 3★ Estimate how many got greater than a score from a histogram

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

Draw/Interpret a histogram - 6★ Interpret a histogram

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

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 - 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 - 2★ Values of fruit

Facebook maths - 3★ Order of operation circles

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 - 5★ Identify the law

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

Interpret fractions - 6★ Write as a mixed number

Add or subtract fractions - 5★ Mixed numbers

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

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

Multiply or divide fractions - 5★ Mixed numbers

FDP conversion - 1★ Convert between common FDP

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 - 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

Efficient use of a calculator - 1★ Calculator familiarisation

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 - 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 (x and ÷) - 2★ Key vocabulary

Operate with integers (x and ÷) - 4★ HTU x÷ TU

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

Column multiplication - 6★ HTU x HTU

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 -) - 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

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 - 6★ What fraction 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 - 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 - 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

Pay slips - 4★ Calculating net pay

Pay slips - 5★ Income tax calculation

Percentage of an amount - 6★ Problem solving - two way table

Percentage change - 5★ Contextualised percentage change

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

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★ Calculator use

Increase/decrease by a percentage - 6★ Problem solving

Reverse percentage - 4★ Compound interest/decay

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

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

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

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) - 6★ Bounds

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 measures with bounds

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

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 - 2★ Convert to standard form (numbers greater than 0)

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 an incomplete attempt into standard form

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

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

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

Operate in standard form - 6★ Combination of operations

Operate with surds - 5★ Combination of operations

Operate with surds - 6★ Combination of operations inc brackets

Rationalise the denominator - 5★ Rationalise the denominator with a surd expression as a denominator

Rationalise the denominator - 6★ Rationalise the denominator (harder)

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 to 24hr format

Reading time and tables - 4★ Reading a time table

Reading time and tables - 5★ Calculating a journey time

Reading time and tables - 6★ Will I be late?

Reading scales - 1★ Integer increments

Reading scales - 2★ Integer increments with gaps

Reading scales - 3★ Half increments with gaps

Reading scales - 4★ Larger number of increments

Reading scales - 5★ Only 2 values given on the scale

Reading scales - 6★ Decimal increments

Constructions/loci - 1★ Constructing scalene triangles

Constructions/loci - 2★ Constructing equilateral/isosceles triangles

Constructions/loci - 4★ Constructing a perpendicular bisector

Constructions/loci - 5★ Constructing a perpendicular line from a point

Constructions/loci - 6★ 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

Plans and elevations - 4★ Draw the plan, front and side elevations for trickier solid shapes that contain gaps

Plans and elevations - 5★ Sketch a trickier solid shape on isometric paper that contains gaps

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

Angles in polygons - 4★ Use of exterior angles to calculate the number of sides

Angles in polygons - 5★ Use of interior angles to calculate the number of sides

Angles in polygons - 6★ Problem solving

Bearings - 4★ Word return bearing problem

Bearings - 6★ Scaled drawings with multiple bearings

Rotations - 1★ Rotational symmetry

Rotations - 2★ Rotate about the origin

Rotations - 3★ Describe the transformation about the origin

Rotations - 4★ Rotate about a point

Rotations - 5★ Describe the transformation about a point

Reflections - 1★ Lines of symmetry

Reflections - 2★ Draw in x=a/y=a mirror lines

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

Reflections - 4★ Reflect a shape in x=a/y=a

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

Reflections - 6★ Describe the transformation

Translations - 1★ Describe in words

Translations - 2★ Drawing horizontal/vertical translations

Translations - 3★ Describing horizontal/vertical translations

Translations - 4★ Drawing any vector translation

Translations - 5★ Describing any vector translation

Translations - 6★ Return translations

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

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

Enlargements - 3★ Enlarge from centre of enlargement

Enlargements - 4★ Describe an enlargement

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 shape

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

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

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

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

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

Congruence - 1★ Are two shapes congruent?

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

Congruence - 3★ State the condition of congruence

Congruence - 4★ Prove two shapes are congruent

Similar shapes - 1★ Are two shapes similar?

Similar shapes - 4★ Geometry problem L2 (using a scale factor)

Similar shapes - 5★ Geometry problem involving Pythagoras' theorem

Names and properties of polygons - 1★ Identify the polygon family

Names and properties of polygons - 2★ Naming regular shapes

Names and properties of polygons - 3★ Naming quadrilaterals

Names and properties of polygons - 4★ Naming quadrilaterals given its properties

Reverse area of 2D shapes - 2★ Reverse area of a triangle

Reverse area of 2D shapes - 3★ Reverse area of a parallelogram

Reverse area of 2D shapes - 4★ Reverse area of a trapezium

Reverse area of 2D shapes - 5★ Given 2 shapes and the area of 1, calculate missing length of the other

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

Area of composite shapes - 4★ Combining a triangle and semi circle

Area of composite shapes - 5★ Removing a rectangle from a rectangle

Area of composite shapes - 6★ Removing a circle from a square

Perimeter of 2D shapes - 1★ Counting squares

Perimeter of 2D shapes - 2★ Perimeter of a squares, rectangles and triangles

Perimeter of 2D shapes - 3★ Perimeter of a simple compound shape

Perimeter of 2D shapes - 4★ Perimeter of a rhombus

Perimeter of 2D shapes - 5★ Algebraic perimeter

Perimeter of 2D shapes - 6★ Perimeter of a half or quarter of a circle or shapes containing them

Parts of a circle - 1★ Which line is the diameter?

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

Parts of a circle - 3★ Name the part of the circle

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 - 2★ Calculate the circumference given the radius

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

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

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

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

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

Circle theorems - 1★ Angles in a semi-circle

Circle theorems - 2★ Cyclic quadrilateral

Circle theorems - 3★ Angle at the center and angles in the same segment

Circle theorems - 4★ Alternate segment

Circle theorems - 5★ Tricky theorems to spot

Circle theorems - 6★ Circle theorems with algebraic expressions

Apply Pythagoras' Theorem - 4★ Pythagoras in non-right angle triangle shapes

Apply Pythagoras' Theorem - 6★ Pythagoras in 3D

Apply SOH CAH TOA - 3★ Apply trigonometry to calculate an angle

Apply SOH CAH TOA - 4★ Trigonometry in non-right angle triangle shapes

Apply SOH CAH TOA - 5★ Multi step problem

Apply SOH CAH TOA - 6★ Trigonometry in 3D

Sine and cosine rules - 1★ Labelling triangles practice

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★ Mixture of sine and cosine questions

Sine and cosine rules - 6★ Problem solving

Area of a triangle (trigonometry) - 1★ Labelling triangles practice

Area of a triangle (trigonometry) - 2★ Evaluating with a calculator

Area of a triangle (trigonometry) - 4★ Find a side

Area of a triangle (trigonometry) - 5★ Find angle

Area of a triangle (trigonometry) - 6★ Problem solving: multi-skill

Trigonometry exact values - 1★ Reading exact values from the triangles

Trigonometry exact values - 2★ Recalling exact values

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

Trigonometry exact values - 5★ Exact values of angles greater than 90

Trigonometry exact values - 6★ Cosine rule application of exact values

Surface area of 3D shapes - 1★ Name common 3D shapes

Surface area of 3D shapes - 2★ Surface area of a cuboid

Surface area of 3D shapes - 3★ Surface area of cylinders or prisms

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

Volume of 3D shapes - 1★ Name common 3D shapes

Volume of complex 3D shapes - 1★ Name common 3D shapes

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

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

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

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

Vectors - 1★ Interpret a vector

Vectors - 2★ Draw a vector

Vectors - 3★ Vector arithmetic

Vectors - 4★ Vector geometry

Vectors - 5★ Vector geometry inc midpoints

Vectors - 6★ Vector geometry inc ratio

Probability scale - 1★ Probability vocabluary

Probability scale - 2★ Place events on a number line

Probability scale - 3★ Place events on a number line (mutually exclusive events)

List outcomes - 1★ List outcomes from a single event

List outcomes - 2★ List outcomes from 2 events (sample space intro)

List outcomes - 3★ Create a sample space diagram

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

List outcomes - 5★ Draw and interpret a sample space diagram

Calculate simple probabilities - 1★ Calculate a probability for simple events

Calculate simple probabilities - 2★ Calculate a probability from a diagram

Calculate simple probabilities - 3★ Calculate a probability from words

Calculate simple probabilities - 4★ Calculate a probability from a sample space diagram

Calculate simple probabilities - 5★ Calculate a probability from a sample space diagram (harder)

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 (harder)

Frequency trees - 4★ Create a frequency tree for 2 events (even harder)

Frequency trees - 5★ Calculate a probability from a frequency tree

Mutually exclusive events - 1★ Simple event

Mutually exclusive events - 2★ From table

Mutually exclusive events - 3★ Problem solving from a table

Mutually exclusive events - 4★ From a probability tree diagram

Mutually exclusive events - 5★ Problem solving from a probability tree diagram

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

Calculate relative/expected frequency - 5★ Use the relative frequency to calculate the expected frequency (harder)

Calculate relative/expected frequency - 6★ Problem solving

Probabilities of independent events - 1★ Complete tree diagram calculating the probability of 2 events

Probabilities of independent events - 2★ Incomplete tree diagram calculating the probability of 2 events

Probabilities of independent events - 3★ No tree diagram calculating the probability of 2 events

Probabilities of independent events - 4★ No tree diagram calculating the probability of 2 events (harder)

Probabilities of independent events - 5★ No tree diagram answering at least probability questions

Probabilities of independent events - 6★ Problem solving

Probabilities of dependent events - 1★ Complete tree diagram calculating the probability of 2 events

Probabilities of dependent events - 2★ Incomplete tree diagram calculating the probability of 2 events

Probabilities of dependent events - 3★ No tree diagram calculating the probability of 2 events

Probabilities of dependent events - 4★ No tree diagram calculating the probability of 2 events (harder)

Probabilities of dependent events - 5★ No tree diagram answering at least probability 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 and intersection probabilities from a venn diagram

Complete and interpret a venn diagram - 4★ Calculate union and intersection probabilities from a venn diagram (harder)

Complete and interpret a venn diagram - 5★ Calculate union and intersection probabilities without a diagram

Complete and interpret a venn diagram - 6★ Calculate union and intersection probabilities without a diagram (harder)

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

Calculate conditional probabilities - 2★ Conditional probability without a venn diagram but given domains

Calculate conditional probabilities - 3★ Conditional probability

Calculate conditional probabilities - 4★ Problem solving

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

Conversion of units - 3★ Simple problem solving with metric units

Conversion of units - 4★ Conversion between unit of area

Conversion of units - 5★ Conversion between unit of volume

Conversion of units - 6★ Problem solving with metric units

Map scales - 1★ Convert a map distance into real life distance

Map scales - 2★ Conversion between units of length

Map scales - 3★ Convert a real life distance into map distance

Map scales - 4★ Give a scale in its simplest form

Map scales - 5★ Convert a distance on a map given as a line into a real life distance

Compound measures - 1★ Converting time units

Compound measures - 2★ Speed, distance and time calculations

Compound measures - 3★ Density, mass and volume calculations/Pressure, mass and area calculations

Compound measures - 4★ Problem solving with compound measures

Compound measures - 5★ Problem solving with compound measures inc volume calculation

Compound measures - 6★ Convert between different units of compound measure

Simplify a ratio - 5★ Simplify a harder algebraic ratio

Simplify a ratio - 6★ Problem solving

Divide a quantity into a given ratio - 3★ Contextualised problem

Divide a quantity into a given ratio - 4★ If someone gets this, what does the other get?

Divide a quantity into a given ratio - 5★ If the difference is this, how much did they share?

Divide a quantity into a given ratio - 6★ Angle ratio problem solving

Best buys - 5★ Comparing 2 offers (special offer deals)

Currency conversion - 3★ Cost of item in two countries

Currency conversion - 4★ Convert two currencies into a comparable amount

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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 - 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?