gcse higher maths homework sheets

GCSE Maths Worksheets

Free topic-specific maths worksheets to help your students prepare for their maths GCSE.

What can you expect from the worksheets?

All worksheets contain functional and applied reasoning questions, practice questions, exam style questions and word problems.

Mark scheme and answers included.

Written by secondary maths teachers and examiners.

Suitable for maths revision for all GCSE exam boards including Edexcel, AQA and OCR.

Algebra worksheets

Number worksheets

Geometry and measure worksheets

Ratio and proportion worksheets

Probability worksheets

Statistics worksheets

Probability

Ratio and Proportion

Algebraic expressions

Simplifying expressions

Expanding brackets

Factorising

Solving equations

Rearranging equations

Simultaneous equations

Maths formulas

Interpreting graphs

Types of graphs

Inequalities

Laws of indices

Mathematical proof

Algebraic Fractions

Equations and expressions

Straight Line Graphs

Proof Maths

Circles, sectors and arcs

Angle rules

Angles in polygons

Angles in parallel lines

Triangular prism

Hemisphere shape

Pythagoras theorem

Trigonometry

Circle theorems

Loci And Construction

Transformations

Congruence and similarity

Types of Graphs

Interpreting Graphs

Surface Area

Rounding numbers

Factors, multiples and primes

Negative numbers

Fractions, decimals and percentages

Percentages

Comparing fractions decimals and percentages

Powers and roots

Standard form

Simple interest and compound interest

Types of numbers

Upper and Lower Bounds

Multiplying and Dividing Fractions

Adding and Subtracting Fractions

Comparing Fractions

Describing probability

Probability distribution

How to calculate probability

Combined events probability

Compound measures

Units of measurement

Conversion graphs

Rate of change

Exchange rates and conversion rates

Types of data

Mean, median, mode

Representing data

Frequency table

Cumulative frequency

Types of sampling methods

Essential GCSE Worksheet Pack

Negative Indices Worksheet

Scale drawing worksheet

Ratio Problem Solving Worksheet

Intersecting lines worksheet

Graphing Inequalities Worksheet

Corresponding Angles Worksheet

Volume Of Prisms Worksheet

Coordinates Worksheet

Mathematical proof worksheet

Recurrence relation worksheet

Equation Of A Line Worksheet

Algebraic Proof Worksheet

Transformations Of Graphs Worksheet

Changing the Subject of a Formula worksheet

Rearranging Formulae Worksheet

Types And Properties Of Quadrilaterals Worksheet

Plotting Quadratic Graphs Worksheet

Solving Quadratic Equations Worksheet

Solving Inequalities Worksheet

Types Of Triangles Worksheet

Scale Factor Worksheet

Angle bisector worksheet

Constructing triangles worksheet

Co interior angles worksheet

Lines of Symmetry Worksheet

Direct and inverse proportion worksheet

Column Vectors Worksheet

Product Rule For Counting Worksheet

Loci and construction Worksheet

Volume And Surface Area Of A Pyramid Worksheet

Loci Worksheet

Ratio And Scale Worksheet

Percentage profit worksheet

Percent To Decimal Worksheet

BIDMAS worksheet

Mean from a frequency table worksheet

Place value worksheet

Adding and subtracting negative numbers worksheet

Factors and Multiples worksheet

Perimeter of compound shapes worksheet

Equation of a tangent to a circle worksheet

Reciprocal worksheet

Triangular Numbers worksheet

Types of numbers Worksheet

Experimental Probability Worksheet

Cube Numbers Worksheet

Dividing Decimals Worksheet

Multiples Worksheet

Factors worksheet

Prime Numbers Worksheet

Solving simultaneous equations graphically worksheet

Scale Worksheet

Unitary Method Worksheet

Averages From Frequency Table Worksheet

Simplifying Fractions Worksheet

Comparing Fractions With Different Denominators Worksheet

Ratio To Percentage Worksheet

Multiplying Decimals Worksheet

Square Numbers Worksheet

Adding fractions Worksheet

Percentages to Fractions Worksheet

Prime Factors Worksheet

Multiplying Negative Numbers Worksheet

Iteration Worksheet

Volume and surface area of a cube worksheet

Perpendicular Bisector Worksheet

Relative Frequency Worksheet

Squares Cubes And Roots Worksheet

Percentage Increase And Decrease Worksheet

Translating Shapes Worksheet

Missing Angles In A Quadrilateral Worksheet

Metric Conversion Worksheet

Time Unit Conversion Worksheet

Proportion Worksheet

Best Buy Maths Worksheet

Compound Measures Worksheet

Simplifying Ratios Worksheet

Ratio To Fraction Worksheet

Directly Proportional Graph/Inversely Proportional Graph Worksheet

Interquartile Range Worksheet

X And Y Axis Worksheet

Sharing In A Ratio Worksheet

Frequency Graph Worksheet

Line Graphs Worksheet

Unit Conversion Worksheeet

Density Worksheet

Converting Units Of Measure Worksheet

Time Series Graphs Worksheet

Converting Units Of Area And Volume Worksheet

Frequency Polygon Worksheet

Stem And Leaf Diagrams Worksheet

Distance Time Graph Worksheet

Frequency Table Worksheet

Flow Rate Worksheet

Box Plots Worksheet

Conversion Graphs Worksheet

Cumulative Frequency Worksheet

Rate Of Change Worksheet

Scatter Graphs Worksheet

Histograms Worksheet

Pressure Force Area Worksheet

Mean Median Mode Range Worksheet

Speed Time Graph Worksheet

Bar Chart Worksheets

Density Mass Volume Worksheet

Types Of Sampling Methods Worksheet

Exchange Rates Worksheet

Sample Space Worksheet

Types Of Data Worksheet

Venn Diagram Worksheet

Grouped Frequency Table Worksheet

Two Way Tables Worksheet

Probability Of Events Worksheet

Tally Charts Worksheets

Probability Worksheet

Ratio Worksheet

Speed Distance Time Worksheet

Probability Distribution Worksheet

Inverse Proportion Worksheet

Frequency Trees Worksheet

Direct Proportion Worksheet

Probability Scale Worksheet

Conditional Probability Worksheet

Mutually Exclusive Events Worksheet

Area Of A Triangle Worksheet

3D Pythagoras Worksheet

Pythagoras Worksheet

Exact Trig Values Worksheet

Rotational Symmetry Worksheet

Hypotenuse Worksheet

Surface Area Of A Triangular Prism Worksheet

3D Trigonometry Worksheet

Area Of A Triangle Using Sine Worksheet

Surface Area Of Prisms Worksheet

Sine And Cosine Rule Worksheet

Surface Area Of A Cuboid Worksheet

Surface Area Of Cylinders Worksheet

Surface Area Of Cones Worksheet

Sine Rule Worksheet

Volume Of A Cylinder Worksheet

Sohcahtoa Worksheet

Volume Of A Cuboid Worksheet

Volume Of A Cone Worksheet

Area Of 2D Shapes Worksheet

Vectors Worksheet

Equation Of A Circle Worksheet

Angle Rules Worksheet

Standard Form Worksheet

Types Of Angles Worksheet

Percentage Worksheet

Construction Worksheet

Symmetry Worksheet

Negative Numbers Worksheet

Fractions Of Amounts Worksheet

Adding Decimals Worksheet

Simplifying Surds Worksheet

Polygons Worksheet

Multiplying And Dividing Decimals Worksheet

Subtracting Fractions Worksheet

Congruent Triangles Worksheet

Comparing Fractions Decimals And Percentages Worksheet

Decimals Worksheet

Simple And Compound Interest Worksheet

Equivalent Fractions Worksheet

Circumference Of A Circle Worksheet

Angles Worksheet

Add And Subtract Fractions Worksheet

Adding And Subtracting Decimals Worksheets

Area Worksheet

Rearranging Equations Worksheet

Improper Fractions And Mixed Numbers Worksheet

Expanding Brackets Worksheet

Simplifying Expressions Worksheet

Angles In A Triangle Worksheet

Dividing Fractions Worksheet

Fraction Worksheet

Algebraic Expressions Worksheet

Difference Of Two Squares Worksheet

Trigonometry Worksheet

Interior And Exterior Angles Worksheet

Factorising Quadratics Worksheet

Multiplying Fractions Worksheets

Multiplying And Dividing Fractions Worksheet

Factorising Single Brackets Worksheet

Alternate Angles Worksheet

Vector Problems Worksheet

Linear Equations Worksheet

3D Shapes Worksheets

Algebraic Fractions Worksheet

Recurring Decimals To Fractions Worksheet

Volume And Surface Area Of A Hemisphere Worksheet

Significant Figures Worksheet

Graph Worksheet

Circle Graph Worksheet

Highest Common Factor And Lowest Common Multiple Worksheet

Percentage Multiplier Worksheet

Composite Functions Worksheet

Error Intervals Worksheet

Function Notation Worksheet

Volume And Surface Area Of A Cone Worksheet

Function Machines Worksheet

Rounding Worksheet

Functions Worksheet

Complementary And Supplementary Angles Worksheet

Factor Trees Worksheets

Solving Quadratic Inequalities Worksheet

Reverse Percentages Worksheet

Inequalities On A Number Line Worksheet

Truncation Worksheet

Angles Around A Point Worksheet

One Number As A Percentage Of Another Worksheet

Collecting Like Terms Worksheet

Rounding To The Nearest 10 100 And 1000 Worksheets

Vertically Opposite Angles Worksheet

Brackets With Indices Worksheet

Parallel And Perpendicular Lines Worksheet

Rounding Decimals Worksheet

Circles, Arcs And Sectors Worksheet

Graphing Sine, Cosine And Tangent Worksheet

Y=Mx+C Worksheet

Compound Interest Worksheet

Perimeter Worksheet

Upper And Lower Bounds Worksheet

Area Of A Rhombus Worksheet

Percentage Change Worksheet

Ordering Fractions Worksheet

Surface Area Worksheet

Estimation Worksheets

Mixed Numbers To Improper Fractions Worksheet

Percentage Of An Amount Worksheet

Simultaneous Equations Worksheet

Volume Worksheet

Plans And Elevations Worksheet

Rational And Irrational Numbers Worksheet

Multiplying And Dividing Standard Form Worksheet

Powers And Roots Worksheet

Solving Equations With Fractions Worksheet

Surds Worksheet

Volume And Surface Area Of Cylinders Worksheet

Converting Fractions To Percentages Worksheet

Fractions Decimals And Percentages Worksheets

Volume And Surface Area Of A Sphere Worksheet

Rationalise The Denominator Worksheet

Multiplying And Dividing Surds Worksheet

3D Shapes Worksheet Vertices, Edges, Faces

Adding And Subtracting Surds Worksheet

Quadratic Simultaneous Equations Worksheet

Converting Decimals To Fractions Worksheet

Similar Shapes Worksheet

Surface Area And Volume Of Prisms Worksheet

Congruent Shapes Worksheets

Arcs And Sectors Worksheet

Parts Of A Circle Worksheet

Transformations Worksheet

Simple Interest Worksheet

Rotation Worksheet

Reflection Worksheet

Enlargement Worksheets

Simple Vectors Worksheet

Circle Theorems Worksheet

Subtracting Decimals Worksheet

Bearings Worksheet

Area And Circumference Of A Circle Worksheet

Angles On A Straight Line Worksheet

Quadratic Graphs Worksheet

Completing The Square Worksheet

Laws Of Indices Worksheet

Quadratic Sequence Worksheet

Nth Term Worksheet

Geometric Sequence Worksheet

Arithmetic Sequence Worksheet

Volume And Surface Area Of A Cuboid Worksheet

Sequences Worksheet

Quadratic Equations Worksheet

Area Of Compound Shapes Worksheet

Area Of A Trapezium Worksheet

Area Of Parallelogram Worksheet

Area Of A Rectangle Worksheet

Solving Equations Worksheet

Substitution Worksheet

Angles In Parallel Lines Worksheet

Expand And Simplify Worksheet

Angles In Polygons Worksheet

Factorising Worksheet

Area Of Quadrilaterals Worksheet

Fractional Indices Worksheet

Multiplying Indices Worksheet

Area Of A Circle Worksheet

Sketching Graphs Worksheet

Simplifying Algebraic Fractions Worksheet

Forming And Solving Equations Worksheet

Inverse Functions Worksheet

Gradient Of A Line Worksheet

Inequalities Worksheet

Straight Line Graphs Worksheet

Volume And Surface Area Of A Triangular Prism Worksheet

Converting To And From Standard Form Worksheet

Adding And Subtracting Standard Form Worksheet

Tree Diagram Worksheet

Pie Chart Worksheets

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GCSE Maths Papers

40+ GCSE maths papers for Edexcel, OCR and AQA exam boards.

Diagnostic Questions

Multiple choice questions to assess key GCSE maths skills and highlight misconceptions.

Revision Mats

A series of complete maths revision mats to help students revise the key skills from the six topic areas.

Fluent in Five

Help your students improve their knowledge by practising key skills with 5 questions each day of the week.

Revision Guides

Step-by-step guides, detailed examples, practice questions, exam questions and more!

Senior Leader Guides

Growing collection of guides to support SLT and maths leadership.

Additional Resources

Formula sheets, problem solving activities, revision timetables, posters and teaching aids.

Exam Questions

Topic specific exam style questions suitable for Edexcel, AQA and OCR.

Revision Cards

Using revision cards is an excellent way of practicing all the essential topics required for GCSE examinations.

Maths Intervention Packs

Detailed revision lessons on selected topics for GCSE grades 3-7.

Teaching support from the UK’s largest provider of in-school maths tuition

At Third Space Learning, we’re on a mission to help teachers like you shape your students into confident, able mathematicians.

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GCSE Revision

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

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Resources you can trust

GCSE Higher maths - key skills revision

Prepare your  Higher tier GCSE students for their maths exam with our GCSE Higher maths - key skills revision pack .

This student revision pack comprises 15 worksheets, each featuring 15 GCSE exam-style questions and answers to revise and practise essential skills. Questions include space for workings.

Modelled on questions from past papers, this practice paper pack is great for assessment, for identifying learning gaps, as an independent revision resource or for weekly homework tasks leading up to the exam.

The pack features calculator and non-calculator questions and covers key topics covered in past papers including fractions, decimals, percentages, quadratics, trigonometry, simultaneous equations,  inequalities, indices, angles, averages and spread, graphs and probability, helping students hone their problem-solving skills and improve their GCSE exam practice and performance.

GCSE Higher Maths - key skills revision  is relevant for all exam board specifications including AQA and Edexcel, making for perfect exam preparation for your GCSE Higher tier students.

Key features:

• 15 papers of 15 exam-style questions
• Answers and explanations included
• Space for workings

Sample questions:

1. Sanjit buys 5 kg of fruit chews to sell. He pays £10 for the chews. Sanjit puts all the fruit chews into bags. He puts 250 g of chews into each bag and sells each bag for 65p. Sanjit sells all the bags of fruit chews.

Work out his profit.

2.  Make t    the subject of the formula

v = u + 10t

3.  Renee leaves £3000 in the bank for two years. It earns compound interest at 2% per year.

Calculate the total amount Renee has in the bank at the end of the two years.

4.  A concrete slab is in the shape of a cuboid.

It measures 400 mm by 400 mm by 28 mm.

The density of the concrete is 2250 kg/m3.

Calculate the total mass of 60 slabs.

5.  A cafe sells cookies and donuts. On Monday, the ratio of the number of cookies sold to the number of donuts was 5 : 2. On Monday, the cafe sold 80 donuts.

How many cookies were sold on Monday?

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Prep like a pro for your GCSE Maths exams!

This page is your one-stop shop for FREE revision resources. We've got everything you need to ace your exams, from basic concepts to tackling higher-level problems. Resources have been collected from all over the internet from some of the best teachers.

Feeling overwhelmed? Don't worry! Here's a simple plan to help you smash through your revision:

Starting in September:

Focus on the basics: Make sure you're comfortable with all topics covered in Grades 5 and 6. Attempt the topic worksheets. Aim to complete all Grades 5 and 6 topics by December. If you get stuck on a topic, watch a video for a quick refresher

Level up: Starting January until the end of March (12 weeks), mov e on to challenging yourself with Grades 7 and 8/9 past exam questions. Aim to complete all Grades 7 ,8 & 9 topics by end of March, before you break for Easter holidays.

During the Easter break (1 April onwards):

Exam practice time! This is when you put your skills to the test. Do past and predicted exam papers regularly. Aim for 1 paper every 2-3 days or 3 papers a week minimum. Scroll down for past exam papers.

Tackle it solo first: Try each question without peeking at the answers.

Check your work: Once you've attempted the whole paper, review your answers using detailed solutions in the video walkthrough.

Fill in the gaps: If you come across tricky topics, watch our Ultimate Revision Videos fo r a quick refresher.

Goal: Aim to complete at least 18-20 exam papers in the 6 weeks leading up to your first exam (usually mid-May)

Remember: Consistent practice is key! By following this plan and using our resources, you'll be well on your way to conquering your GCSE Maths exams.

Go od luck!

YEAR 11 GCSE MATHS REVISION GRADE 1 - 9

Question by topic.

1. Standard Form

2. Compound Interest and Depreciation

3. Reverse Percentage

4. Expand and Factorise Quadratics

5. Solving quadratics by Factorisation

6. Simultaneous Equations

7. Inequalities Regions

8. Trigonometry

9. Spheres and Cones

10. Area of Sector and Length of Arcs

1. Circles Theorems

2. Cumulative Frequency and Box Plots

3. Tree Diagrams

4. Recurring Decimals to Fractions

5. Fractional and Negative Indices

6. Enlargements by Negative Scale Factor

2. Direct and Inverse Proportion

3.  upper and lower bounds, 4. solving quadratics using the formula, 5.  algebraic fractions, 6.  more difficult rearranging formulae, 7.  sine and cosine rules & areas of triangles, 8. 3d pythagoras, 10. histograms.

1. Simultaneous Equations with a Quadratic

2. Transformations of Functions

3. Stratified Sampling

5. Quadratic Inequalities

6. Velocity Time Graphs

7. Proof of the Circle Theorems

8. Perpendicular Lines and the equation of a tangent

9. Inverse and Composite Functions

10. Iteration

Foundation Prep 1. One question on every Topic 2. Complete Revision Workbook Foundation - Questions

Higher past papers.

Year 11 - Grade 5 topics

How to do Standard Form GCSE Maths revision Higher level worked exam questions

Compound Interest and Depreciation

Reverse Percentages

GCSE Algebra Harder Factoring Quadratics Coeffecient not 1

Factorising GCSE Maths revision Higher level worked exam qu (quadratics and diff of two squares)

Factorising Quadratics (Higher & Foundation) | GCSE Maths Tutor

Simultaneous Equations 1 (GCSE Higher Maths): Tutorial 11

GCSE Maths Revision - Solving simultaneous equations in context (2)

Graphical Inequalities & Shaded Regions | GCSE Maths Tutor

GCSE Revision Video 24 - Inequalities

All of Trigonometry in 20 Minutes!! Foundation & Higher Grades 4-9 Maths Revision | GCSE Maths Tutor

Trigonometry 2 (GCSE Higher Maths)- Exam Qs 16

Spheres and Cones

Circle Sectors - Areas and Arc Lengths | Grade 6+ Series | GCSE Maths Tutor

Area of a Sector, Length of Arc & Perimeter of Fan based shapes Exam Questions National 5

Year 11 - grade 6 topics.

Circle Theorems B/A GCSE Higher Maths Worked Exam paper revision, practice & help

Circle Theorems - Exam Style Questions | Grade 7 Maths Series | GCSE Maths Tutor

Circle Theorems 2 (GCSE Higher Maths)- Exam Qs 14

How to do Cumulative Frequency and Box plots GCSE Higher Maths revision Exam paper practice & help

GCSE Revision Video 26 - Box Plots

GCSE Revision Video 32 - Probability trees

How to do Probability A/A* GCSE Maths revision Higher level worked exam (tree diagrams, conditional)

Writing Recurring Decimals as Fractions (Higher Only) | GCSE Maths Tutor

Negative and Fractional Indices (Higher Only) | GCSE Maths Tutor

Indices GCSE Maths revision Higher level worked exam questions (inc fractional and negative powers)

Negative Enlargements - Drawing & Describing (Higher Only) | Transformations | GCSE Maths Tutor

Enlargement Fractional and Negative Scale Factors GCSE Maths revision Exam paper practice & help

Enlargement (Negative Scale Factor) - Mr Morley Maths

Year 11 - grade 7 topics.

SURDS Exam questions

The 5 Hardest Direct & Inverse Proportion Exam Style Questions | GCSE Maths Tutor

Bounds - Upper and Lower Bound Calculations | Grade 7-9 Maths Series | GCSE Maths Tutor

GSCE IGCSE Solving quadratic equations exam questions

Algebraic Fractions | Part 1 | Grade 7-9 Maths Series | GCSE Maths Tutor

Rearranging Harder Formulae

GCSE IGCSE Harder Sine and Cosine rule questions

3d Pythagoras and 3d Trigonometry

Harder Vector Questions 1

How to Histograms A/A* GCSE Higher Statistics Maths Worked Exam paper revision, practice & help

Year 11 - grade 8/9 topics.

Quadratic Simultaneous Equations | Grade 9 Maths Series | GCSE Maths Tutor

Graph Transformations | Grade 7-9 Maths Series | GCSE Maths Tutor

GCSE Revision Video 31 - Stratified Sampling

Algebraic Proof

Algebraic Proof | Grade 7-9 Maths Series | GCSE Maths Tutor

Quadratic Inequalities (Grade 9) | Grade 9 Maths Series | GCSE Maths Tutor

Velocity-Time Graphs - Area Under a Curve & Gradient of a Curve | Grade 9 Series | GCSE Maths Tutor

Proving the Circle Theorems | Grade 9 Maths Series | GCSE Maths Tutor

Proof of the Circle Theorems

Equations of Tangents to Circles (Grade 9) | Part 4 | Grade 9 Maths Series | GCSE Maths Tutor

Coordinate Geometry - Perpendicular Lines | Part 2 | Grade 7-9 Maths Series | GCSE Maths Tutor

The Equation of a Circle and the Equation of a Tangent

Ultimate last minute revision.

Selection (arrangements / combinations / permutations) - GCSE Maths Exam Questions

Rates of Change (incl. Tangents) - GCSE Maths Exam Questions

Ratio and Proportion - GCSE Maths Exam Questions

Volume & Surface Area - GCSE Maths Exam Questions (mensuration, cuboid, prism, cylinder, sphere)

Bearings and Scale Drawing - GCSE Maths Exam Questions

Ratio and Proportion - Exam Questions (harder - higher tier)

Loci & Construction - GCSE Maths Exam Questions

Products of Prime Factors (Prime Factor Decomposition) - GCSE Maths Exam Questions

Solving Quadratic Equations (factorising / quadratic fomula) - GCSE Maths Exam Questions

Percentages - GCSE Maths Exam Questions (harder - higher tier)

Pythagoras Theorem - GCSE Maths Exam Questions

Averages & Dispersion (Spread) - GCSE Maths Exam Questions

Volume & Surface Area - GCSE Maths Exam Questions (Higher tier only)

Proofs - GCSE Maths Exam Questions

Averages from Frequency Tables (Estimated Mean, Median) - GCSE Maths Exam Questions

Vectors - GCSE Maths Exam Questions Compilation

Circle Theorems - GCSE Maths Exam Questions Compilation

Algebraic Fractions - GCSE Maths Exam Questions

Iteration - GCSE Maths Exam Questions Compilation

Transformations of Curves / Functions / Graphs - GCSE Maths Exam Questions

Percentages - GCSE Maths Exam Questions (Foundation & Higher)

Venn Diagrams - GCSE Maths Exam Questions

Histograms - GCSE Maths Exam Questions Compilation

Functions / function notation - GCSE Maths Exam Questions

Cumulative Frequency Curves - GCSE Maths Exam Questions

Identities - GCSE Maths Exam Questions Compilation

Surds - GCSE Maths Exam Questions

Similar Shapes and Congruency - GCSE Maths Exam Questions (incl similar volumes congruent triangles)

Box Plots (box and whisker diagrams) - GCSE Maths Exam Questions

Transformations - GCSE Maths Exam Questions (incl translation, rotation, reflection, enlargement)

Approximations / Estimations - GCSE Maths Exam Questions

Distance-time & Speed-time Graphs (velocity-time graphs) - GCSE Maths Exam Questions

Inequalities - GCSE Maths Exam Questions Compilation

Error Intervals (Limits of Accuracy) - GCSE Maths Exam Questions

Proportionality - GCSE Maths Exam Questions Compilation

Trigonometry (exact values) - GCSE Maths Exam Questions (non-calculator) (paper 1)

Simultaneous Equations - GCSE Maths Exam Questions

Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | Edexcel AQA & OCR

Last Minute Maths Revision - May 2023 Maths Exam Paper 1 Non-Calculator | GCSE Maths

Last Minute Maths Revision - June 2023 Maths Exam Paper 2 Calculator | GCSE Maths

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Edexcel GCSE Questions by Topic

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On this page you can find links to topic tests, past paper questions separated by topic and grade, for both Foundation and Higher tiers.

For notes, worksheets and their solutions, visit the Maths Revision page. Full past papers and model solutions can be found on the Paper 1 , Paper 2 and Paper 3 pages.

• Addition and Subtraction QP
• Averages QP
• Factors and Multiples QP
• Fractions of an Amount QP
• Fractions, Decimals and Percentages QP
• Frequency Polygons QP
• Multiplication and Division QP
• Negative Numbers QP
• Pie Charts QP
• Powers and Roots QP
• Simplifying Algebra QP
• Stem and Leaf QP
• Addition and Subtraction MA
• Averages MA
• Factors and Multiples MA
• Fractions of an Amount MA
• Fractions, Decimals and Percentages MA
• Frequency Polygons MA
• Multiplication and Division MA
• Negative Numbers MA
• Pie Charts MA
• Powers and Roots MA
• Simplifying Algebra MA
• Stem and Leaf MA
• Area and Circumference of Circles QP
• Area of Compound Shapes QP
• Best Buy Questions QP
• Drawing Graphs QP
• Exchange Rates QP
• Fractions QP
• Percentages QP
• Probability QP
• Proportion QP
• Solving Equations with an Unknown on Both Sides QP
• Substitution QP
• Transformations - Enlargements QP
• Transformations - Mixed Transformations QP
• Transformations - Reflections QP
• Transformations - Rotations QP
• Transformations - Translations QP
• Area and Circumference of Circles MA
• Area of Compound Shapes MA
• Best Buy Questions MA
• Drawing Graphs MA
• Exchange Rates MA
• Fractions MA
• Percentages MA
• Probability MA
• Proportion MA
• Solving Equations with an Unknown on Both Sides MA
• Substitution MA
• Transformations - Enlargements MA
• Transformations - Mixed Transformations MA
• Transformations - Reflections MA
• Transformations - Rotations MA
• Transformations - Translations MA
• Angle Problems QP
• Angles in Parallel Lines QP
• Angles in Polygons QP
• Averages from Frequency Tables QP
• Bearings QP
• Compound Interest and Depreciation QP
• Cylinders QP
• Expanding and Factorising QP
• Forming and Solving Equations QP
• Functional Maths Questions QP
• HCF and LCM QP
• Inequalities QP
• Inequalities on Graphs QP
• Loci and Construction QP
• Pythagoras QP
• Scatter Graphs QP
• Sequences (Nth Term) QP
• Surface Area QP
• Volume of Prisms QP
• Angle Problems MA
• Angles in Parallel Lines MA
• Angles in Polygons MA
• Averages from Frequency Tables MA
• Bearings MA
• Compound Interest and Depreciation MA
• Cylinders MA
• Expanding and Factorising MA
• Forming and Solving Equations MA
• Functional Maths Questions MA
• HCF and LCM MA
• Inequalities MA
• Inequalities on Graphs MA
• Loci and Construction MA
• Pythagoras MA
• Scatter Graphs MA
• Sequences (Nth Term) MA
• Surface Area MA
• Volume of Prisms MA
• Changing the Subject of a Formula QP
• Congruent Triangles QP
• Drawing Other Graphs (Cubic, Reciprocal) QP
• Drawing Quadratic Graphs QP
• Equation of a Line QP
• Expanding and Factorising Quadratics QP
• Probability Trees QP
• Reverse Percentages QP
• SOHCAHTOA QP
• Sector Areas and Arc Lengths QP
• Similar Shapes (Lengths) QP
• Simultaneous Equations QP
• Solving Quadratics QP
• Solving Simultaneous Equations Graphically QP
• Speed and Density QP
• Spheres and Cones QP
• Standard Form QP
• Venn Diagrams QP
• Changing the Subject of a Formula MA
• Congruent Triangles MA
• Drawing Other Graphs (Cubic, Reciprocal) MA
• Drawing Quadratic Graphs MA
• Equation of a Line MA
• Expanding and Factorising Quadratics MA
• Probability Trees MA
• Reverse Percentages MA
• SOHCAHTOA MA
• Sector Areas and Arc Lengths MA
• Similar Shapes (Lengths) MA
• Simultaneous Equations MA
• Solving Quadratics MA
• Solving Simultaneous Equations Graphically MA
• Speed and Density MA
• Spheres and Cones MA
• Standard Form MA
• Venn Diagrams MA
• Circle Theorems QP
• Cumulative Frequency and Box Plots QP
• Enlarging with Negative Scale Factors QP
• Fractional and Negative Indices QP
• Recurring Decimals to Fractions QP
• Similar Shapes (Area and Volume) QP
• Circle Theorems MA
• Cumulative Frequency and Box Plots MA
• Enlarging with Negative Scale Factors MA
• Fractional and Negative Indices MA
• Recurring Decimals to Fractions MA
• Similar Shapes (Area and Volume) MA
• 3D Pythagoras QP
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• Direct and Inverse Proportion QP
• Harder Graphs (Trig, Exponential) QP
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• Quadratic Formula QP
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• Sine Rule, Cosine Rule, Area of Any Triangle QP
• Solving Equations using Iteration QP
• Venn Diagrams (given that questions) QP
• 3D Pythagoras MA
• Algebraic Fractions MA
• Direct and Inverse Proportion MA
• Harder Graphs (Trig, Exponential) MA
• Histograms MA
• Inverse and Composite Functions MA
• Quadratic Formula MA
• Rearranging Harder Formulae MA
• Sine Rule, Cosine Rule, Area of Any Triangle MA
• Solving Equations using Iteration MA
• Venn Diagrams (given that questions) MA
• Completing the Square QP
• Perpendicular Lines and the Equation of a Tangent QP
• Proof of the Circle Theorems QP
• Quadratic Inequalities QP
• Simultaneous Equations with a Quadratic QP
• The Nth Term of a Quadratic Sequence QP
• Transforming Graphs y=f(x) QP
• Velocity Time Graphs QP
• Completing the Square MA
• Perpendicular Lines and the Equation of a Tangent MA
• Proof of the Circle Theorems MA
• Quadratic Inequalities MA
• Simultaneous Equations with a Quadratic MA
• The Nth Term of a Quadratic Sequence MA
• Transforming Graphs y=f(x) MA
• Velocity Time Graphs MA

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GCSE Higher Revision Mat (3) GCSE Questions PDF

Total reviews: (0), gcse higher revision mat (3) gcse revision description.

These revision mats consist of 16 questions suitable for students studying for the higher tier at GCSE, targeting grades 6 & 7; comprising a curated set of questions that encompass the key skills required for each area within Algebra, Number, Probability, Statistics, Ratio & Proportion, and Geometry.

Revision mats are a versatile tool that can be utilised in multiple settings: during classroom and revision sessions, form time, or as homework. Learners can work individually or in small groups, pinpointing topics where further practice is necessary.

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GCSE Maths Homework Pack 3: Higher Tier

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• Higher Topics
• Schools & Tutors
• Exam Study Pack

Unsure about Functions & Graphs?

Let the fantastic wealth of resources below teach you all about Functions & Graphs.

Get the Study Pack - just £20

Teachers click here >

Covers the whole of the Higher Maths course

Created by an experienced maths teacher

Resources used with students in Scottish Secondary Schools

Functions & Graphs

Welcome to  highermathematics.co.uk

A sound understanding of  Functions & Graphs  is essential to ensure exam success.

Passing the fast paced Higher Maths course significantly increases your career opportunities by helping you gain a place on a college/university course, apprenticeship or even landing a job. A ‘good’ pass at Higher Maths will set you up well for the  AH Maths Course  next year should you be interested. Please do your very best to keep on top of your studies.

For students looking for extra help with the Higher Maths course you may wish to consider subscribing to the fantastic additional exam focused resources available in the  Online Study Pack.

To access a wealth of additional  free resources by topic  please either use the above  Search Bar  or click HERE  selecting on the topic you wish to study.

We hope you find this website useful and wish you the very best of success with your Higher Maths course in 2025. Please find below:

1. Functions & Graphs – Worksheets

2. About Functions & Graphs

3. Functions & Graphs – Videos, Theory Guides & Mind Maps

4. Higher Maths Essential Skills 

5. Higher Maths Exam Worksheets by Topic

6. Higher Maths Past & Practice Papers by Topic 

7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets 

8. Higher Maths Past & Practice Papers 

9. 40 Non-Calculator Higher Maths Questions & Answers

10. 200 Higher Maths Questions & Answers 

11. Practice Exam Papers A to H – Answers Included

12. 264 SQA Exam Multiple Choice Questions & Answers

13. Higher Maths Exam Check Lists 

14. Old Higher Maths Exam Questions by Topic

15. Higher Maths Text Book Solutions

16. Higher Maths Theory Guides 

17. Higher Maths Mind Maps 

18. Higher Maths Practice Unit Assessments – Solutions Included

19. Higher Maths Past Paper Video Solutions

20. Higher Maths Recommended Text Book

21. Exam Focused Online Study Pack – For students looking for a ‘good’ Pass

Higher Maths Resources

Thanks to the SQA and authors for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to all worksheets below are available in the  Online Study Pack.

. 2. About Functions & Graphs 

To learn about Functions & Graphs please click on the Functions & Graphs Theory (HSN)  link. Please also find in Sections 2 & 3 below  video 1 –  Composite Functions , video 2 – Domains & Ranges , video 3 –  Exact Values , video 4 –  Exponentials & Logs , video 5 – Inverse Functions,   video 6 – Transformation of Graphs ,  mind maps  (see under Functions & Graphs) and worksheets on this topic to help your understanding. The Essential Skills 17, 20, 27 & 28 worksheets, along with worksheets including actual SQA Exam Questions , are highly recommended.

If you would like more help understanding Functions & Graphs  there are full, easy to follow, step-by-step worked solutions to dozens of Higher Maths Past & Practice exam questions on all topics in the  Online Study Pack.  Please give yourself every opportunity for success, speak with your parents, and subscribe to the  exam focused   Online Study Pack  today.

Topics covered in this section of the course include:

• Composite Functions
• Exact Values
• Graphs of Inverses
• Graph Transformations

Thanks to the authors for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam.

4. Higher Maths Essential Skills 

Thanks to Mr G Rennie for making the excellent resources below freely available. The Essential Skills Worksheets can be used for general revision, homework, consolidation of a topic or preparation for assessments, tests and exams. Clear, easy to follow, step-by-step worked solutions to all 33 Essential Skills worksheets below are available in the  Online Study Pack.

. 5. Higher Maths Exam Worksheets by Topic

Thanks to the SQA and authors for making the excellent resources below freely available. The worksheets by topic are a fantastic study resource since they are actual past paper exam questions. Clear, easy to follow, step-by-step worked solutions to all new CfE Higher Maths Questions below are available in the  Online Study Pack.

6. Higher Maths Past & Practice Papers by Topic

Thanks to the SQA for making the excellent resources below freely available. Questions and answers have been split up by topic for your ease of reference. Clear, easy to follow, step-by-step worked solutions to all questions below are available in the Online Study Pack.

. 7. Higher Maths Videos, Theory Guides, Mind Maps & Worksheets

Dozens of Higher Maths Videos provide quality lessons by topic. Also included are excellent Theory Guides, Mind Maps and Revision Worksheets with actual Higher Maths exam questions. Please click on our new  Higher Maths Videos & Worksheets  by topic dedicated page.

8. Higher Maths Past & Practice Papers

Thanks to the SQA for making the excellent resources below freely available. Clear, easy to follow, step-by-step worked solutions to all CfE Higher Papers below are available in the Online Study Pack.

. 9. 40 Non-Calculator Higher Maths Questions & Answers

Thanks to the SQA and authors for making the excellent resources below freely available. Start with these questions to help build your confidence. Once finished, you may like to move onto the 200 Higher Maths Exam Questions in the next section checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 40 questions below are available in the Online Study Pack.

10. 200 Higher Maths Questions & Answers

Thanks to the SQA and authors for making the excellent resources below freely available. Please try to do as many questions as possible, checking your answers as you go. If stuck, always ask your teacher for help as soon as possible. Clear, easy to follow, step-by-step worked solutions to all 200 questions below are available in the Online Study Pack .

. 11. Practice Exam Papers A to H – Answers Included

Thanks to the SQA and Larkhall Academy for making the excellent resources below freely available. Please use regularly for revision prior to assessments, tests and the final exam. Clear, easy to follow, step-by-step worked solutions to Practice Papers A to E are available in the  Online Study Pack .

. 12. 264 SQA Exam Multiple Choice Questions & Answers 

Thanks to the SQA and authors for making the excellent resources below freely available. Multiple choice are primarily C level questions and a great place to start your revision. If stuck, always ask your teacher for help as soon as possible.

13. Higher Maths Exam Check Lists

Thanks to the SQA and authors for making the excellent resources below freely available. These are fantastic check lists to assess your Higher Maths knowledge. Please try to use these regularly for revision prior to tests, prelims and the final exam.

Thanks to the SQA for making the excellent resources below freely available. The worksheets by topic are a fantastic additional study resource.

15. Higher Maths Text Book Solutions 

Thanks to the AHS for providing the Heinemann Higher Maths text book solutions below. These will prove extremely useful in helping to progress your Higher Maths knowledge. Please note that there may be the odd arithmetic error.

Thanks to HSN for making the excellent Higher Maths Theory Guides freely available for all to use. These will prove a fantastic resource in helping you consolidate your understanding of Higher Maths.

17. Higher Maths Mind Maps

Thanks to the authors for providing the excellent resources below. These will prove a fantastic resource in helping you prepare for assessments, tests and the final exam.

Thanks to the authors for making the excellent resources below freely available for all to use. Please use regularly for revision prior to assessments, tests and the final exam.

Please click DLB Maths to view Higher Maths Past Paper video solutions. This will prove an excellent resource in helping you prepare for assessments, tests and the final exam.

20. Higher Maths Recommended Text Book

Please find below our highly recommended text book which can be ordered by clicking on the book/link.

21. Higher Maths Online Study Pack 

Through step-by-step worked solutions to exam questions available in the Online Study Pack we cover everything you need to know about Functions & Graphs  to pass your final exam.

For students looking for a ‘good’ pass at Higher Maths you may wish to consider subscribing to the fantastic additional exam focused resources available in the Online Study Pack. Subscribing could end up being one of your best ever investments.

Please give yourself every opportunity for success, speak with your parents, and subscribe to the  exam focused   Online Study Pack  today.

We hope the resources on this website prove useful and wish you the very best of success with your Higher Maths course in 2025.

I  have just completed my Higher Maths exam. Both the N5 and Higher Maths Online Study Packs have been absolutely invaluable. I managed to get a ‘B’ in the N5 Maths exam in 2022 and am now hoping for an ‘A’ at Higher. I would like to say thank you for providing a website like this. I am holding a conditional offer from Stirling and Strathclyde to do Maths with Teaching in 2024 and I couldn’t be more excited to becoming a Maths teacher.

Kieran – May 2023

I write to thank you for providing such a great resource for students studying for mathematics exams. As a parent its been immensely helpful to guide both my sons on their way to sitting higher maths (2nd son sitting higher maths today!). I can’t thank you enough and will pass on your reference to every parent I meet. Sincerely

Mr W McNeil – May 4th 2023

My daughter says the Higher website was really helpful. She achieved an ‘A’ for Higher Maths this year and is now undertaking Advanced Higher Maths for which she would like me to subscribe to your AH website . I shall go and do that now –  Thanks again.

Just a HUGE thank you from me – I’ve been teaching Higher Maths for about 20 years and your site has made this so much easier. Having topic by topic past paper questions, HSN notes and SQA papers all on one site is wonderful. So easy just to direct students to your amazing site! – Thank you.

Firstly, I wanted to say the materials on the new website are great.

I have just had my Prelim at Fife College for my Higher Maths evening class. It has highlighted the need to do loads of past papers before the exam. I found the worked solutions provided for the past papers in the Online Study Pack so much more helpful than the marking schemes.

The Higher Maths website is great – only £9.99 is such good value for what you get. I am feeling a lot more confident for the exam now!

Not just Functions & Graphs, but 70 other maths concepts covered in detail

Topic Links

Free resources to dozens of Higher Maths topics are available by clicking on any of the links to the right.

• Higher Whole Course
• Higher Maths Past Papers
• Higher Past Papers by Topic
• Higher Exam Check Lists
• Higher Essential Skills
• Higher Booster Papers
• Heinemann Solutions
• Leckie & Leckie Solutions
• Higher Maths Theory
• Higher Maths Mind Maps
• Higher Maths Videos
• All Maths Courses
• Area between Two Curves
• Area under a Curve
• CAST Diagram
• Closed Intervals
• Collinearity
• Completing the Square
• Cosine Rule
• Curve Sketching
• Differentiation
• Differentiating sinx & cosx
• Discriminant
• Distance Formula
• Domain Restrictions
• Equations from Graphs
• Equations of Tangents
• Equations Straight Lines
• Exponentials & Logs
• Factorising Trinomials
• Functions & Graphs
• Functions Increasing
• Further Calculus
• Graphs Derived Functions
• Integration
• Integrating sinx & cosx
• Intersection Line & Curve
• Intersection Straight Lines
• Inverse Functions
• Laws of Logs
• Midpoint Formula
• National 5 Maths
• Nature of the Roots
• Nature Tables
• Optimisation
• Perpendicular Bisectors
• Perpendicular Lines
• Polynomials & Quadratics
• Preparing to Differentiate
• Preparing to Integrate
• Quadratic Formula
• Quadratic Graphs
• Radians & Degrees
• Rates of Change
• Recurrence Relations
• Sketching Quadratics
• Stationary Points
• Solving Trinomials
• Straight Lines
• Synthetic Division
• Trig Formulae & Eqns
• Trig Identities
• Wave Function

For Students

To ensure your success in 2024/25 there is a wealth of fantastic additional Higher Maths exam focused resources for less than the cost of a text book.

Just £20 for a year

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For Schools

Schools can get the Online Study Pack also. Unlimited use for all the teachers and students in your school.

Just £200 for a year

This fantastic Maths resource was set up by a practicing secondary high school maths teacher.

To read more about the story behind the site, please click here .

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Maths homework for secondary

Australia and new zealand, international schools, tes resources team.

Whether you're looking for homework tasks to consolidate learning that has taken place, or to gain an understanding of where your students may need a little more support, we've drawn together a collection of resources you can use throughout the year. From shorter activities and differentiated worksheets to termly homework booklets, why not take a look at what the Tes community has to offer? 

Looking for GCSE or IGCSE maths resources? Explore the GCSE/IGCSE revision hub.

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