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This formula sheet will be provided to you in the exams.

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Worksheets on every topic that could be covered in the exam alongside videos you can use to help.

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Angles: compass directions Video 27b Practice Questions

Area: quarter-circle Video 47a Practice Questions

Averages: combined mean Video 53a Practice Questions Textbook Exercise

Averages: mode (frequency table) Video 56a

Averages: range (frequency tables) Video 57a

Averages: Quartiles Video 57b Practice Questions

Circles: perimeter - quarter-circle Video 62a Practice Questions

Circle theorems proof: right angle in a semi-circle Video 65a Practice Questions

Circle theorems proof: angles at circumference\centre Video 65b Practice Questions

Circle theorems proof: angles in the same segment Video 65c Practice Questions

Circle theorems proof: cyclic quadrilaterals Video 65d Practice Questions

Circle theorems proof: alternate segment theorem Video 65e Practice Questions

Circle theorems proof: radius and tangent proof Video 65f Practice Questions

Circle theorems proof: Textbook Exercise

Constructions: loci part 3 Video 77 Practice Questions Textbook Exercise

Coordinates: 3D Video 86 Practice Questions

Data handling cycle Video 89 Practice Questions

Dimensional analysis Video 97 Practice Questions

Division: long division Video 98a

Enlargements: ray method Video 109 Practice Questions

Equations: involving fractions Video 111 Practice Questions Textbook Exercise

Equations: x squared Video 116a Practice Questions

Equations: Think of a number Video 116b Practice Questions

Factorisation: splitting the middle Video 119a Textbook Exercise

Factorisation: difference of 2 squares Video 120 Practice Questions Textbook Exercise

Fractions: finding the midpoint Video 141a Practice Questions

Graphs composite bar charts Video 148a

Graphs: dual bar charts Video 148b

Graphs: misleading graphs Video 160a

Graphs: real life linear graphs Video 171a

Linear graphs: real life Video 198a

Money - See Video 400 or click here for collection

Multiplication: grid method Video 199 Practice Questions Textbook 1 Textbook 2

Multiplication: column method Video 200 Practice Questions Textbook 1 Textbook 2

Multiplication: times tables Video 204a Textbook Exercise

Number: odd and even numbers Video 221a Practice Questions

Number: product of primes (squares/cubes) Video 223a Practice Questions Textbook

Percentages: simple interest Video 236a Practice Questions Textbook Exercise

Proportion: unitary method Video 255a Practice Questions Textbook Exercise

Proportion: Graphs Video 255b

Proportion: Time Video 255c

Pythagoras: area of a regular hexagon Video 262 Practice Questions

Quadratic graphs: sketching using key points Video 265 Textbook Exercise

Quadratic graphs: finding turning point Video 265a Practice Questions

Quadratic graphs: line of symmetry Video 265b

Quadratics: solving (factorising) Video 266 Practice Questions Textbook 1 Textbook 2

Quadratics: solving graphically Video 267c Practice Questions Textbook Exercise

Quadratics: solving graphically advanced Video 267d Practice Questions

Questionnaires Video 268 Practice Questions

Ratio: express as fractions or % Video 269a Practice Questions Textbook Exercise

Ratio: given two ratios Video 271a Textbook Exercise

Ratio: difference between Video 271b Textbook Exercise

Ratio: expressing as 1:n Video 271c Textbook Exercise

Ratio: equations/ratios Video 271d

Ratio: solving problems 1 Video 271e Textbook Exercise

Sampling: using samples Video 281a

Sampling: random Video 282 Practice Questions

Scales and maps Video 283 Practice Questions

Sequences: nth term for fractional sequences Video 289 Textbook Exercise

Similar shapes: definition Video 291 Practice Questions

Similar shapes: further Video 294 Practice Questions

Simultaneous equations (substitution, both linear) Video 296 Practice Questions

Simultaneous equations (graphical) Video 297 Textbook Exercise

Surface area: mixture Video 309 Practice Questions

Surface area: other prisms Video 312

Transformations: mixture Practice Questions

Transformations of graphs Video 323 Practice Questions

Transformations of trigonometric graphs Video 324 Practice Questions

Trigonometry: sine rule (ambiguous case) Video 334a Textbook Exercise

Trigonometry: area of a triangle Video 337 Proof Practice Questions Textbook Exercise

Types of data: primary & secondary Video 343a Practice Questions Textbook Exercise

Types of graph: cubics Video 344 Practice Questions

Types of graph: exponential Video 345 Practice Questions

Types of graph: reciprocal Video 346 Practice Questions

Types of graph: mixture

Units: types of metric and imperial unit Video 347 Practice Questions

Units: Converting imperial units for length Video 348a Practice Questions

Units: Converting imperial units for mass Video 348b Practice Questions

Units: Converting imperial units for capacity Video 348c Practice Questions

Units: metric to imperial (length) Video 349d Practice Questions

Units: metric to imperial (mass) Video 349e Practice Questions

Units: metric to imperial (capacity) Video 349f Practice Questions

Vectors Video 353 Practice Questions

Views: front/side elevation and plan view Video 354 Practice Questions

Volume: Frustum Video 360a Textbook Exercise

Additional Topics

Flow Charts Video 364 Practice Questions

Geometric Proof Video 366

Identities: Equating coefficients Video 367 Practice Questions

Identities, Formula, Equations etc Video 367a Practice Questions

Intersecting Chord Theorem Video 368a Practice Questions

Intersecting Secant Theorem Video 368b Practice Questions

Quadratic graph (completing the square) Video 371

Equation of a Tangent to a Circle Video 372 Practice Questions

Iteration Video 373 Practice Questions

Iterative Processes Video 373a

Change of Sign Video 373a Practice Questions

Arithmetic progressions Video 374

Geometric progressions Video 375

Set notation Video 379

Venn Diagrams Video 380 Practice Questions

Shortest distance from point to a line Video 381 Textbook Exercise

Time series Video 382

Population Density Video 384a Practice Questions

Invariant Points Video 392 Textbook Exercise

Simultaneous Equations (3 Unknowns) Video 393 Textbook Exercise

Measuring Lines Video 397 Practice Questions

Drawing Lines Video 397a Practice Questions

Money: Coins Video 400a Practice Questions

Money: Change Video 400b

Money: Buying Video 400c Practice Questions

Money: Regular Payments Video 400d Practice Questions

Money: Bills Video 400e

Money: Discounts Video 400f Practice Questions

Money: VAT Video 400g Practice Questions

Money: Wages Video 400h Practice Questions

Money: Bank Statements Video 400i Practice Questions

Money: Tax Video 400j Practice Questions

Money: Cost per kg Video 400k Practice Questions

Money: Cost per litre Video 400l Practice Questions

Money: Cost per metre Video 400m Practice Questions

Money: Reading meters Video 400n

Money: Profit Video 400p Practice Questions

Money: Greatest/Maximum Video 400q Practice Questions

Money: Estimation Video 400r Practice Questions

Money: Midpoint Video 400s Practice Questions

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Videos, Practice Questions and Textbook Exercises on every Secondary Maths topic

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Videos and worksheets for every topic that might come up in your exam.

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Angles: compass directions Video 27b Practice Questions

Area: quarter-circle Video 47a Practice Questions

Averages: combined mean Video 53a Practice Questions Textbook Exercise

Averages: mode (frequency table) Video 56a

Averages: range (frequency tables) Video 57a

Averages: Quartiles Video 57b Practice Questions

Circles: perimeter - quarter-circle Video 62a Practice Questions

Circle theorems proof: right angle in a semi-circle Video 65a Practice Questions

Circle theorems proof: angles at circumference\centre Video 65b Practice Questions

Circle theorems proof: angles in the same segment Video 65c Practice Questions

Circle theorems proof: cyclic quadrilaterals Video 65d Practice Questions

Circle theorems proof: alternate segment theorem Video 65e Practice Questions

Circle theorems proof: radius and tangent proof Video 65f Practice Questions

Circle theorems proof: Textbook Exercise

Constructions: loci part 3 Video 77 Practice Questions Textbook Exercise

Coordinates: 3D Video 86 Practice Questions

Data handling cycle Video 89 Practice Questions

Dimensional analysis Video 97 Practice Questions

Division: long division Video 98a

Enlargements: ray method Video 109 Practice Questions

Equations: involving fractions Video 111 Practice Questions Textbook Exercise

Equations: x squared Video 116a Practice Questions

Equations: Think of a number Video 116b Practice Questions

Factorisation: splitting the middle Video 119a Textbook Exercise

Factorisation: difference of 2 squares Video 120 Practice Questions Textbook Exercise

Fractions: finding the midpoint Video 141a Practice Questions

Graphs composite bar charts Video 148a

Graphs: dual bar charts Video 148b

Graphs: misleading graphs Video 160a

Graphs: real life linear graphs Video 171a

Linear graphs: real life Video 198a

Money - See Video 400 or click here for collection

Multiplication: grid method Video 199 Practice Questions Textbook 1 Textbook 2

Multiplication: column method Video 200 Practice Questions Textbook 1 Textbook 2

Multiplication: times tables Video 204a Textbook Exercise

Number: odd and even numbers Video 221a Practice Questions

Number: product of primes (squares/cubes) Video 223a Practice Questions Textbook

Percentages: simple interest Video 236a Practice Questions Textbook Exercise

Proportion: unitary method Video 255a Practice Questions Textbook Exercise

Proportion: Graphs Video 255b

Proportion: Time Video 255c

Pythagoras: area of a regular hexagon Video 262 Practice Questions

Quadratic graphs: sketching using key points Video 265 Textbook Exercise

Quadratic graphs: finding turning point Video 265a Practice Questions

Quadratic graphs: line of symmetry Video 265b

Quadratics: solving (factorising) Video 266 Practice Questions Textbook 1 Textbook 2

Quadratics: solving graphically Video 267c Practice Questions Textbook Exercise

Quadratics: solving graphically advanced Video 267d Practice Questions

Questionnaires Video 268 Practice Questions

Ratio: express as fractions or % Video 269a Practice Questions Textbook Exercise

Ratio: given two ratios Video 271a Textbook Exercise

Ratio: difference between Video 271b Textbook Exercise

Ratio: expressing as 1:n Video 271c Textbook Exercise

Ratio: equations/ratios Video 271d

Ratio: solving problems 1 Video 271e Textbook Exercise

Sampling: using samples Video 281a

Sampling: random Video 282 Practice Questions

Scales and maps Video 283 Practice Questions

Sequences: nth term for fractional sequences Video 289 Textbook Exercise

Similar shapes: definition Video 291 Practice Questions

Similar shapes: further Video 294 Practice Questions

Simultaneous equations (substitution, both linear) Video 296 Practice Questions

Simultaneous equations (graphical) Video 297 Textbook Exercise

Surface area: mixture Video 309 Practice Questions

Surface area: other prisms Video 312

Transformations: mixture Practice Questions

Transformations of graphs Video 323 Practice Questions

Transformations of trigonometric graphs Video 324 Practice Questions

Trigonometry: sine rule (ambiguous case) Video 334a Textbook Exercise

Trigonometry: area of a triangle Video 337 Proof Practice Questions Textbook Exercise

Types of data: primary & secondary Video 343a Practice Questions Textbook Exercise

Types of graph: cubics Video 344 Practice Questions

Types of graph: exponential Video 345 Practice Questions

Types of graph: reciprocal Video 346 Practice Questions

Types of graph: mixture

Units: types of metric and imperial unit Video 347 Practice Questions

Units: Converting imperial units for length Video 348a Practice Questions

Units: Converting imperial units for mass Video 348b Practice Questions

Units: Converting imperial units for capacity Video 348c Practice Questions

Units: metric to imperial (length) Video 349d Practice Questions

Units: metric to imperial (mass) Video 349e Practice Questions

Units: metric to imperial (capacity) Video 349f Practice Questions

Vectors Video 353 Practice Questions

Views: front/side elevation and plan view Video 354 Practice Questions

Volume: Frustum Video 360a Textbook Exercise

Additional Topics

Flow Charts Video 364 Practice Questions

Geometric Proof Video 366

Identities: Equating coefficients Video 367 Practice Questions

Identities, Formula, Equations etc Video 367a Practice Questions

Intersecting Chord Theorem Video 368a Practice Questions

Intersecting Secant Theorem Video 368b Practice Questions

Quadratic graph (completing the square) Video 371

Equation of a Tangent to a Circle Video 372 Practice Questions

Iteration Video 373 Practice Questions

Iterative Processes Video 373a

Change of Sign Video 373a Practice Questions

Arithmetic progressions Video 374

Geometric progressions Video 375

Set notation Video 379

Venn Diagrams Video 380 Practice Questions

Shortest distance from point to a line Video 381 Textbook Exercise

Time series Video 382

Population Density Video 384a Practice Questions

Invariant Points Video 392 Textbook Exercise

Simultaneous Equations (3 Unknowns) Video 393 Textbook Exercise

Measuring Lines Video 397 Practice Questions

Drawing Lines Video 397a Practice Questions

Money: Coins Video 400a Practice Questions

Money: Change Video 400b

Money: Buying Video 400c Practice Questions

Money: Regular Payments Video 400d Practice Questions

Money: Bills Video 400e

Money: Discounts Video 400f Practice Questions

Money: VAT Video 400g Practice Questions

Money: Wages Video 400h Practice Questions

Money: Bank Statements Video 400i Practice Questions

Money: Tax Video 400j Practice Questions

Money: Cost per kg Video 400k Practice Questions

Money: Cost per litre Video 400l Practice Questions

Money: Cost per metre Video 400m Practice Questions

Money: Reading meters Video 400n

Money: Profit Video 400p Practice Questions

Money: Greatest/Maximum Video 400q Practice Questions

Money: Estimation Video 400r Practice Questions

Money: Midpoint Video 400s Practice Questions

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Videos, Practice Questions and Textbook Exercises on every Secondary Maths topic

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Worksheets on various different topics. Includes answers as well.

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Videos and exam booklets on every topic

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All content beyond this point is for the higher tier only.

Copyright © Maths Genie. Maths Genie Limited is a company registered in England and Wales with company number 14341280. Registered Office: 143 Lynwood, Folkestone, Kent, CT19 5DF.

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Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. The content is suitable for the Edexcel, OCR and AQA exam boards.

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Definitions of all the keywords that may be used in your exam

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A list of all the command words they use in the GCSE maths papers and what they mean

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Command words are the words and phrases used in exams and other assessment tasks that tell students how they should answer the question.

The following command words are taken from Ofqual's official list of command words and their meanings that are relevant to this subject. In addition, where necessary, we have included our own command words and their meanings to complement Ofqual's list.

Change...to

Change a value from one unit to another.

Circle

Circle the reason for your answer

Follows a question about congruence. The options will be the congruence conditions SSS, SAS, ASA and RHS.

Circle your answer

Compare...and/to/with

Work out or identify the values required and say which is smaller/larger, etc.

Where appropriate, consider the context when giving your answer.

Complete

Add the missing information to a table or diagram (often statistical).

Construct

Draw accurately.

If told to use compasses, all construction arcs and lines should be shown.

Convert ...(in)to

Change a value from one numerical form to another or a measure from one unit to another.

Describe

Use mathematical terminology to define the given information.

Describe (fully) the single transformation that maps...

With enlargement, give the scale factor and centre of enlargement.

With reflection, give the equation of the line of reflection.

With rotation, give the angle, direction and centre of rotation.

With translation, give the translation vector.

This should always be done fully, even if that word is absent from the instruction.

Do not use a graphical method

Algebraic manipulation or interpretation is required.

Does the data support this statement?

Use calculations and/or statistical measures based on the given data to make a decision.

Draw

Give an accurate depiction of a graph, map, diagram, etc.

Draw a sketch of

Give a depiction of a graph, map, diagram, etc, where the important features are identified.

Estimate (a mean from grouped frequency)

Use class midpoints to work out an estimate of the mean.

Estimate (used when the exact or definitive answer cannot be obtained from the information given)

Use the given information to work out the answer.

In this case it is good practice to use/give the exact answer of any calculation and then round the final answer to a sensible degree of accuracy.

Estimate the value of (used with a calculation)

Use approximations to work out a value.

Unless told otherwise, students should round the given values to 1 significant figure.

Evaluate... method and/or claim (Higher Tier only)

Identify which part of the method, calculation or assertion is incorrect or explain why it must be correct.

Express... as (Higher Tier only)

Convert a number from one form to another

Factorise (fully)

Take out any common factors of an expression or convert a quadratic expression into two linear factors.

This should always be done fully, even if that word is absent from the instruction. Use of the word 'fully' is a hint that more than one factor can be taken out.

Give a reason for your answer/choice

Show a calculation and/or written evidence for your answer.

Give a reason why...

Show a calculation and/or written evidence to support the given statement.

Give one/an example to show...

Write one example to substantiate or disprove a given statement.

Give one/an example where...

Write one example that fits the given conditions.

Give working and a reason to support your answer

Both a calculation and a written explanation are needed.

Give your answer as a/in the form...

You may work with values in a different format, but give the answer in the format required.

Give your answer in its simplest form

Cancel any fractions and collect any like terms.

Give your answer in terms of... (Higher Tier only)

The given variable should be the only variable in your answer.

Give your answer in terms of π

Don't use a decimal value of pi, just do the working with the coefficients of pi.

Give your answer to... decimal places/significant figures

Show the full answer in your working, but give the rounded value on the answer line.

How does this affect...

Comment on how your answer to a previous question part is different due to a change to an assumption used.

Is... correct?

Tick a box if given or state 'yes' or 'no' in your answer.

Is your answer to part... sensible?

Use approximations to check if a previous answer makes sense in the context of the question.

Label

Identify required regions, lengths or axis labels.

List

Write down all qualifying values or items.

Make... (different) criticism(s) of...

Write down the required number of errors or omissions in the given method or diagram.

Mark

Show a position on a map or diagram with the letter or symbol required.

Match each... to...

Join corresponding items in two lists by straight lines.

Measure

Use a ruler to measure a length or a protractor to measure an angle.

Multiply out (and simplify)

Multiply out the bracket(s), collecting like terms where possible.

One has been done for you

The given example shows the format in which the rest of the answers are required.

Plot

Mark the points with a cross.

Practise on this diagram

Put your answer on this diagram (when two diagrams are given for the student to use)

The first diagram can be used for practise, but if both diagrams are attempted the second one will be marked.

Prove that... (Higher Tier only)

Give a formal algebraic proof with each step shown or a formal geometric proof with each step shown and justification for each step.

Rearrange... to make... the subject

Write the given formula with a different subject as specified.

Reflect

Draw the image in the correct position.

Rotate

Draw the image in the correct position.

Shade

Show a required region by dark colouring or cross-hatching, etc.

Show all your construction lines

The drawing should be done by standard constructions with all arcs shown.

Show how... could use the data to support her hypothesis (Higher Tier only)

Work with the given information to give calculations and/or statistical measures that support the given hypothesis.

Show that...

Give every step of a process that will lead to the required outcome.

Show working to check...

Show working that helps you decide whether or not the given working was correct and give your decision.

Show working to support your answer

If you have made a decision, give a calculation (and wording where it helps) that shows why you made it.

Simplify (fully)

Collect terms or cancel a fraction.

This should always be done fully, even if that word is absent from the instruction. Use of the word 'fully' is a hint that more than one simplification step will be required.

Simplify your answer

Cancel any fractions and collect any like terms.

Sketch

Give a depiction of a graph, map, diagram, etc, where the important features are identified.

Solve

Find the value(s) that satisfy a given equation or inequality.

State

Write the required information.

State the units of your answer

The correct units must be given to gain full marks (there may be a stand-alone) mark for giving the correct units

Tick a box

Tick the correct statement

Translate

Draw the image in the correct position.

Use

This may be a conversion or formula that will help the student.

Use approximations to...

Unless told otherwise, students should round the given values to one significant figure.

Use the data to...

You should use the given information in your calculation or reason

Use the graph to...

You should get your answer from the graph rather than from calculation.

Use your calculator to...

You are not expected to show the required calculations or how you worked them out

Using part... or otherwise... (Higher Tier only)

You can use a previous answer as part of your method here, but there are other methods where it is not used.

What does this mean/tell you about...

Explain in words the implication of the given information.

What error has... made? (Higher Tier only)

Identify which part of the method or calculation is incorrect.

What mistake has... made?

Identify which part of the method or calculation is incorrect.

Why

Give a calculation and/or written evidence to support the given statement.

Work out

One or more calculations will usually be necessary.

Write

Some work may be needed to fulfil the instruction.

Write down

The answer should be obtainable from the information given, so no work should be needed.

Write down a calculation to support your answer

If you have made a decision, give a calculation that shows why you made it.

Write down your full calculator display

Give your answer as a decimal and write all the digits shown on your calculator. However, as calculators can show many digits, at least 6 digits would be seen as sufficient here.

You may use... to help you

A diagram or table has been given that may be helpful in organising your working, but you do not have to use it.

You must show your working

A correct answer will not receive the marks unless working is given to show how the answer was arrived at.

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Command words are the words and phrases used in exams and other assessment tasks that tell students how they should answer the question. The following command words are taken from Ofqual's official list of command words and their meanings that are relevant to this subject.

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Corbett Maths Revision Checklist, a bit of everything and practice papers

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Corbett Maths Revision Checklist, a bit of everything and practice papers

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The Corbettmaths revision resources for GCSE Maths - AQA Foundation

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Past exam papers. These past papers show you the progress you are making through the paper to gain a grade 4.

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Past exam papers with worked solutions to follow

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MME Premium Membership

Learn an entire GCSE course for maths, English and science on the most comprehensive online learning platform. With revision explainer videos & notes, practice questions, topic tests and full mock exams for each topic on every course, it's easy to Learn and Revise with the MME Learning Portal.

AQA GCSE Maths Past Papers

GCSE Maths Predicted Papers 2024

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GCSE Maths (4365) (OLD SPEC)

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Find AQA GCSE Maths past papers and their mark schemes as well as specimen papers for the new GCSE Maths course levels 9-1.

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These 10 task sheets focus on the topics that are on the foundation exams 100% of the time. This document also provides answers and links to Century tasks for each question.

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This document shows students how to complete all questions on the Bread and Butter 1. It provides them with a variety of mathematical methods they can use to tackle questions

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This document provides additional questions that allow students to practice the topics in the Bread and Butter 1 document more thoroughly.

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Task sheets for Bread and butter (1) (1)

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These 10 task sheets focus on the calculator topics that appear on the foundation GCSE exam 100% of the time.

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Calculator bread and butter support guide

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Calculator Bread and Butter Support Guide

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Calculator Bread and Butter Support Guide

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This support guide provide students with mathematical methods to answer the questions in the calculator bread and butter.

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Calculator bread and butter support guide (2)

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Corbett Maths produces a video on a topic everyday for the 100 days before the exams.

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GCSE Foundation 2026 - 100 Days to Go - Corbettmaths

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Welcome to the 2026 GCSE Foundation - “100 Days to Go” Revision Sessions. Every day at 3pm, a new revision session will be shared here.

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The Corbettmaths 5-a-day for the 9-1 GCSE.

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This document allows students to more thoroughly practice the topics in the calculator bread and butter.

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These bread and butter sheets focus on grade 4 skills.

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This support guide provides students with guidance on how to answer Grade 4 questions.

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bread and butter support guide grade 4 (1) (2)

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This task sheets allow students to practice the Grade 4 bread and butter topics in more depth.

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This bread and butter allows students to practice their basic skills in mathematics.

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This support guide provides students with mathematical methods to complete the bread and butter basic questions.

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bread and butter basics support guide (2)

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This document allows students to practice their basic skills in more depth.

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Find out the topics that ALWAYS come up in AQA foundation.

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Maths genie - exam questions on all topics

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Maths genie - exam questions on all topics

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Free GCSE Maths resources on Maths Genie. Choose your exam board to find past papers, mark schemes, grade boundaries, and revision materials.