Tutorial video

The misconception generator makes use of the Maths White Board topic bank (click here). The resulting misconceptions created by users will be a great way of discussing common errors within specific topics. This type of activity is perfect for plenary tasks or given to pupils as a "Be the teacher" style task.

Feel free to use or add to the FREE misconception community library using the tools below. When using the misconception, they are to be used to generate freely available resources. For any commercial services looking to embed these misconceptions, please contact me first.

In this section you can view and download any of the shared misconceptions.

X

Probabilities of independent events

2★ Incomplete tree diagram calculating the probability of 2 events

2★ Incomplete tree diagram calculating the probability of 2 events

Probabilities of independent events

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

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

Click on a skill to select and create your own misconception:

X

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 - 3★ Multiplying and dividing terms

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

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

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 - 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

Quadratic and cubic functions - 3★ Draw a quadratic or cubic function

Quadratic and cubic functions - 4★ Identify quadratic and cubic graphs

Quadratic and cubic functions - 5★ Estimate values from a graph

Equation of a circle - 1★ State the radius or centre

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

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

Equation of a circle - 4★ State the equation from a graph

Equation of a circle - 5★ Does it lie on the circle?

Equation of a circle - 6★ Problem solving

Area under a graph - 2★ Calculate the area under a graph given a trapezium or rectangular graph

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

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

Area under a graph - 5★ Is it an under or over estimate

Area under a graph - 6★ Negative areas (dependent on context)

Reciprocal functions - 1★ Table of values

Reciprocal functions - 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) - 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) - 3★ Negative coefficients

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 brackets

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

Solve rational equations - 6★ Solve a rational equation involving factorising

Expand over a single bracket - 2★ Multiplying a positive or negative number by a harder expression

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

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

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

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

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

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

Solving quadratics in disguise - 1★ Solve like a quadratic

Solving quadratics in disguise - 2★ Solving like a quadatic involving rearrangement

Solving quadratics in disguise - 3★ Solve like a quadratic involving fractional powers

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

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

Complete the square - 1★ Completing the square scaffold 1

Complete the square - 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 completing the square - 5★ Harder solve by completing the square

Solve a quadratic by completing the square - 6★ Positive or negative value of a

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

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

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

Solve a quadratic by using the formula - 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 - 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 - 2★ Substitute values into harder composite functions

Use composite functions - 3★ Substitute values into composite functions involving powers

Use composite functions - 4★ Algebraically simplify composite functions

Use composite functions - 5★ Problem solving

Iterations - 1★ Find the next term

Iterations - 2★ Find the third or fourth term

Iterations - 3★ Word problem with a given formula

Iterations - 4★ Find a term given a rearrangement

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

Iterations - 6★ Find a solution given a rearrangement and two starting values

Inverse functions - 1★ 1 step rearrangement

Inverse functions - 2★ 2 step rearrangement

Inverse functions - 3★ Rearrangement involving fractions

Inverse functions - 4★ Rearrangement involving powers

Inverse functions - 5★ Rearrangement involving completing the square

Read/Represent inequalities on a number line - 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 - 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

Solve quadratic inequalities - 1★ Graphically solve a quadratic inequality (part i)

Solve quadratic inequalities - 2★ Graphically solve a quadratic inequality (part ii)

Solve quadratic inequalities - 3★ Solve a simple quadratic inequality

Solve quadratic inequalities - 4★ Solve a quadratic inequality (where a is 1)

Solve quadratic inequalities - 5★ Solve a quadratic inequality (where a is not 1)

Solve quadratic inequalities - 6★ Solve a quadratic inequality (where a is not 1) involving rearrangement

Recognise common sequences - 1★ Continue for the next two terms for an arithmetic sequence

Recognise common sequences - 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 - 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 - 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 - 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 - 4★ Calculate the mean

Calculate averages from a list - 5★ Calculate missing 4th value given the mean

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

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

Calculate quartiles from a list - 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 - 4★ Calculate an estimate of the mean

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

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

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

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

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

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

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

Stem and leaf diagrams - 1★ Draw a stem and leaf diagram (inc key where data values are integers)

Stem and leaf diagrams - 2★ Draw a stem and leaf diagram (inc key where data values are decimals)

Stem and leaf diagrams - 3★ Interpret a stem and leaf diagram (how many were over?/What fraction were under?)

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

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

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

Draw/Interpret a frequency polygon - 1★ Draw a frequency polygon

Draw/Interpret a frequency polygon - 2★ Interpret frequencies from a frequency polygon

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

Draw/Interpret a frequency polygon - 4★ Draw comparisons between 2 frequency polygons

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

Draw/Interpret cumulative frequency - 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 bar chart - 5★ Problem solving

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

Draw/Interpret a composite bar chart - 2★ Draw a composite bar chart

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

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

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

Draw/Interpret a histogram - 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 - 5★ Draw a pictograph (tricky key)

Construct a pictograph - 6★ Find the percentage who answered a category

Construct a pie chart - 1★ Draw a pie chart (total freq 360 with items factors of 360)

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

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

Construct a pie chart - 4★ Calculate the angles needed to construct a pie chart (random total freq)

Construct a pie chart - 5★ Draw a pie chart (random total freq)

Construct a pie chart - 6★ Problem solving

Interpret a pie chart - 1★ Find the mode

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

Interpret a pie chart - 3★ Frequency of a sector, calculate total frequency

Interpret a pie chart - 4★ Given the percentage represented by 2 sectors and the total calculate the number in third sector

Draw/Interpret a scatter graph - 1★ Plot a scatter diagram

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

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

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

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

PMCC and regression line - 1★ Comment on correlation

PMCC and regression line - 2★ Find the PMCC

PMCC and regression line - 3★ Interpret the PMCC

PMCC and regression line - 4★ Calculate the regression line

PMCC and regression line - 5★ Interpolate/extrapolate using a regression line

PMCC and regression line - 6★ Limitations of using a regression line

Standard deviation - 1★ Substitute into formula

Standard deviation - 2★ Find sd from sample

Standard deviation - 3★ Find sd from population

Standard deviation - 4★ Comment on results

Standard deviation - 5★ Percentage of data within 1 sd

Standard deviation - 6★ Find sd from a frequency table

Normal distribution - 1★ Calculate the z-score

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

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

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

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

Normal distribution - 6★ Find µ

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

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

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

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

Facebook maths - 1★ Most people will fail this question

Facebook maths - 2★ Values of fruit

Facebook maths - 3★ Order of operation circles

Place value - 1★ Interpret the blocks

Place value - 2★ Read the place value (integers)

Place value - 3★ 100/10/1 more or less than

Place value - 4★ Read the place value (decimals)

Place value - 5★ Convert words into numbers

Place value - 6★ Convert numbers into words

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

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

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

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

Times tables - 5★ Second half of 8 times tables

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

Commutative, associative and distributive laws - 2★ Commutative law

Commutative, associative and distributive laws - 3★ Associative law

Commutative, associative and distributive laws - 4★ Distributive law

Commutative, associative and distributive laws - 5★ Identify the law

Commutative, associative and distributive laws - 6★ Evaluate calculations

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 - 6★ Problem solving

Order of operations - 2★ Calculation inc brackets

Order of operations - 3★ Calculation inc brackets and powers

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 - 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 - 5★ Mixed numbers

Add or subtract fractions - 6★ Simple algebraic fractions

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

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

Write one number as a fraction of another - 3★ Understanding complements in fraction totals

Write one number as a fraction of another - 4★ Different units

Write one number as a fraction of another - 5★ Multi-step problems

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

Fraction of an amount (part i) - 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 - 4★ 3 fractions

Multiply or divide fractions - 5★ Mixed numbers

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 - 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 (+ 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 - 2★ TU 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 - 3★ Complete the short division calculation

Short division - 4★ Division by integer with decimal answer

Short division - 5★ Dividing decimal by integer

Short division - 6★ Dividing an integer by a decimal

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

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

Product rule for counting - 3★ Given a product find how many

Product rule for counting - 4★ Problem solving

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

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

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

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

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

Operate with decimals (+ and -) - 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 - 1★ Buy 1 each of two items

Money problems - 2★ Buy multiple items

Money problems - 3★ Buy multiple items with different units

Money problems - 4★ Calculating change

Money problems - 5★ How many can I buy?

Money problems - 6★ What proportion of the total cost does it represent?

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

Money problems - payment plans - 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 or net pay

Pay slips - 4★ Income basic rate tax calculation

Pay slips - 5★ Income higher rate tax calculation

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

Percentage of an amount - 4★ Calculator use

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

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

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

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

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

Percentage change - 4★ Find a simple percentage change

Percentage change - 5★ Contextualised percentage change

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

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

Increase/decrease by a percentage - 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 - 4★ Compound interest/decay

Simple interest - 1★ Interest earned after 1 year

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

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

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

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

Simple interest - 6★ Problem solving

Calculate growth/decay - 1★ 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

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

Annual equivalent rate - 1★ Compound interest

Annual equivalent rate - 2★ Calculate AER

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

Annual equivalent rate - 4★ Which is better value?

Annual equivalent rate - 5★ Backwards AER questions

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

Estimation - 2★ Estimate money total

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

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

Estimation - 5★ Estimate square roots/cube roots

Estimation - 6★ Estimate the value of longer calculations

Fermi - 1★ Key facts

Fermi - 2★ Key conversion questions

Fermi - 3★ Short Fermi questions

Truncation - 1★ Truncate to 10, 100 or 1000

Truncation - 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) - 4★ Round to 1dp

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 - 4★ Operating with squares and roots

Squares, cubes and roots - 5★ Cube numbers

Squares, cubes and roots - 6★ Operating with squares, cubes and roots

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 - 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 - 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 - 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

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 - 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 - 1★ Constructing scalene triangles

Constructions/loci - 2★ Constructing equilateral/isosceles triangles

Constructions/loci - 3★ Constructing an angle 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

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

Angles in triangles - 6★ Combining triangles

Angles in quadrilaterals - 6★ Algebraic angles

Angles on parallel lines - 3★ Form and solve an equation

Angles on parallel lines - 4★ Geometry problems

Angles in polygons - 2★ Find a missing angle

Angles in polygons - 3★ Will it tesselate?

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 - 1★ Measure an angle

Bearings - 3★ Return bearing from a diagram

Bearings - 4★ Word return bearing problem

Bearings - 5★ Incorrect given bearing information

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

Translations - 1★ Describe in words

Translations - 2★ Drawing horizontal/vertical translations

Translations - 3★ Describing horizontal/vertical translations

Translations - 4★ Drawing 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 - 2★ Knowing two shapes are similar, find an unknown side (orientation exercise)

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

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

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

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

Algebraic area of 2D shapes - 1★ Area of a rectangle (simple term)

Algebraic area of 2D shapes - 2★ Area of a rectangle

Algebraic area of 2D shapes - 3★ Reverse area of a rectangle

Algebraic area of 2D shapes - 4★ Area of rectangles (harder terms)

Algebraic area of 2D shapes - 5★ Area of shaded region with a cut out

Algebraic area of 2D shapes - 6★ Area of simple compound shape

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 - 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 - 4★ Draw the named part of a circle

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

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

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

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

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

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

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

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 - 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 - 1★ Calculate the hypotenuse

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

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

Apply Pythagoras' Theorem - 6★ Pythagoras in 3D

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

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) - 3★ Calculating areas

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 - 3★ Exact values arithmetic

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

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

Volume of 3D shapes - 6★ Most items you can fit in a container

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

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

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

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

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

Leave your answer in exact form - 5★ Exact values arithmetic

Leave your answer in exact form - 6★ Fractional powers

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 - 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

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

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

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

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

Calculate relative/expected frequency - 6★ Problem solving

Probabilities of independent events - 6★ Problem solving

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

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

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

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

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

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

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

Conversion of metric and imperial - 3★ General conversion between metric and imperial

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

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

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

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 - 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 - 1★ Simplify a:b

Simplify a ratio - 3★ Simplify a:b:c

Simplify a ratio - 4★ Simplify a simple algebraic ratio

Simplify a ratio - 5★ Simplify a harder algebraic ratio

Simplify a ratio - 6★ Problem solving

Interpret ratio as a fraction - 1★ What fraction of a bar model is shaded (2 parts)

Interpret ratio as a fraction - 2★ What fraction of a bar model is shaded (3 parts)

Interpret ratio as a fraction - 3★ Given a ratio, what fraction is represented (2 parts)

Interpret ratio as a fraction - 4★ Given a ratio, what fraction is represented (3 parts)

Interpret ratio as a fraction - 5★ Given a fraction/percentage, write the ratio

Interpret ratio as a fraction - 6★ Problem solving

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

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

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 two ratios are equal write the equation

Multiplicative operations with ratios - 4★ Given the ratio of 2 pairs of points on a straight line give ratio between each point

Multiplicative operations with ratios - 5★ 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)

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

Currency conversion - 3★ Convert to pounds from another currency

Currency conversion - 4★ Cost of item in two countries

Currency conversion - 5★ Convert two currencies into a comparable amount

Direct proportion - 2★ Ingredients direct proportion

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

Once a misconception has been created it will land here. After a short review process, the misconception will go live and be made available to the rest of the misconception community.

Copyright © Mr W's Lab Ltd . Home Privacy policy Copyright Contact