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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)

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
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
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 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 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

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

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

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

Rearranging into the form y = mx + c
2★ 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

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
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
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
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
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
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

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

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 (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 linear equations with brackets
6★ Brackets in brackets

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

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

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)

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)

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
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 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
5★ Solving quadratics by using the quadratic formula

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
4★ Draw 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

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

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
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 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
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
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
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 and median

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
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

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

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 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
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 composite bar chart
1★ Analyse 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
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

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
4★ Find P(a < X < b)

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

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

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

Confidence intervals
3★ Construct a confidence interval given a sample

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

Facebook maths
1★ 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
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
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
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
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

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

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)
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
4★ 3 fractions

Multiply or divide fractions
6★ Simple algebraic fractions

FDP conversion
1★ Convert between common 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
5★ Order fractions

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 (+ 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 ÷)
2★ Key vocabulary

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

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

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

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

Column multiplication
6★ HTU x HTU

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

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 (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)

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 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
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

Percentage change
5★ Contextualised percentage change

Percentage change
6★ Percentage change from a compound interest problem

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

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

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

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

Increase/decrease by a percentage
5★ Calculator use

Increase/decrease by a percentage
6★ Problem solving

Reverse percentage
1★ Number bonds

Reverse percentage
2★ Calculator use

Reverse percentage
3★ Simple reverse percentage

Reverse percentage
4★ Compound interest/decay

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)

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

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

Truncation
1★ Truncate to 10, 100 or 1000

Truncation
2★ Truncate to dp or sf

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

Truncation
4★ Error interval when truncated to dp or sf

Truncation
5★ Worded problem

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

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

Basic rules of rounding (inc dp and bounds)
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

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
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

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

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
1★ Add and subtract numbers with common powers of 10

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
4★ Multiplying numbers written in standard form

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

Operate in standard form
6★ Combination of operations

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

Operate with surds
5★ Combination of operations

Operate with surds
6★ Combination of operations inc brackets

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

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

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