Everything you need to study for GCSE (and IGCSE) maths! 🇬🇧
Below is a full list of topics and resources to revise Year 10 Maths at ease.
All Year 10 Videos can be found here.
Check out our revision page for tips on how to revise maths effectively.
1. Percentages
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Convert between Fractions, Decimals and Percentages. Find a Percentage of an Amount | Fractions, Decimals and Percentages Percentage of an Amount Video | FDP Worksheet Percentage of an Amount Practice | FDP Transum |
| Be able to calculate percentage change. | Percentage Changes Revision Video | Percentage Change Transum | |
| Understand reverse percentage problems, and be able to undo a percentage change. Eg: Sally bought a car in a sale of 20% off. She bought the reduced car for £4320. How much did the car cost before the sale? | Reverse Percentages Video | Reverse Percentages Corbett Maths | |
| Understand the difference between compound interest and simple interest. Be able to calculate return on compound interest. | Compound Interest Revision Video | Compound Interest Transum | Compound Interest Exam Questions |
2. Straight Line Graphs
New! 🆕 Revise all of Straight Line Graphs on our Dedicated Revision Page
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Understand the concept of a Midpoint, and find the coordinate of a midpoint. | Midpoints Revision Video | Midpoints Worksheet | Addvance Maths Worksheet on Midpoints Answers for the above. |
| Revision: Know how to complete a table of values, and use this to plot a straight line graph. | Plotting Straight Line Graphs | Plotting Straight Line Graphs Worksheet | Addvance Investigation on Plotting Straight Line Graphs. |
| Understand the concept of gradient and y-intercept. Know that y = mx + c is the equation of any straight line, where m is the gradient of the line and c is the y-intercept. | Gradient of a Straight Line Graph Explained! y = mx + c video | Equation of a Line Worksheet | New! Straight-Line Graphs Game by Addvance Maths! 🆕⭐️ |
| Find the equation of a line from a line on a graph. | (as above) | Transum y=mx+c | Extension: GCSE Style Exam Questions Video |
| Know the the gradient of a perpendicular line is the negative reciprocal of the parallel gradient. | (as above) | Perpendicular Lines Visualisation: Desmos | |
| Be able to solve problems involving parallel and perpendicular lines. | (as above) | Corbett Maths: Perpendicular Lines | Perpendicular Bisector Video 🆕⭐️ |
| Solve Problems involving Straight Line Graphs. | Grade 9 Problems on Straight Line Graphs – Video 🆕 | Dr Frost: Full Coverage |
3. Circle Theorems
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Know all the names of different parts of a circle. | Parts of a Circle Revision Video | Make a colourful diagram of the parts of the circle! Copy this from the video. | |
| Know all the following circle theorems: 1. The angle at the centre is twice the angle at the circumference. (Arrow Head Theorem) 2. The angle from a diameter is 90 degrees. (Triangles in semi-circle are right-angles) 3. Angles in the same segment are equal. 4. The angle between a tangent and a radius is 90 degrees. 5. Opposite angles in a cyclic quadrilateral sum to 180 degrees. 6. The angle between a tangent and a chord is equal to the angle in the alternate segment. (Alternate Segment theorem) | Circle Theorems Revision Video New! Circle Theorems Revision Page | Circle Theorems Practice Transum Make a revision poster of all the circle theorems. Make it neat and colourful. Share your creations with us on Twitter, we’d love to see them: @AddvanceMaths | Circle Theorems Exam Questions Grade 7+ Exam Style Questions Video |
| Apply the theorems above to solve problems involving circles.. | Circle Theorem Exam Style Questions Video | Interwoven Maths: Circle Theorems with Equations | |
| Know the intersecting chord theorems, and apply them to exam style questions. | Intersecting Chords Revision Video | Corbett Maths Exam Style Questions Intersecting Chords |
Revise all of Circle Geometry with our dedicated Circle Revision Page!
4. Areas of Sectors and Arc Lengths
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Be able to find the area and circumference using the formulas. | Area and Circumference of Circles Video | Circles Transum | Area and Perimeter of Semicircles and Quarters of Circles, Transum |
| Be able to find the area of a sector of a circle. | Arc Lengths and Areas of Sector Video | Area of Sectors Exam Questions | |
| Be able to find the arc length of a sector, and use this to find the perimeter. | (As above) | Arc Length Practice Questions | Dr Frost: Arc Lengths and Sector Areas Exam Questions |
5. Probability Trees
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Know about the probability scale. Be able to use sample spaces to determine probabilities. | Probability Scale Revision Video Sample Space Diagrams Video | ||
| Use probability trees to find the probability of two events occurring. (both independent and dependent events) | Probability Trees Revision Video | Addvance Maths Probability Trees Worksheet Probability Trees Practice Questions Corbett Maths Dr Austin Maths: Probability Trees Practice Dr Austin Mark Scheme | GCSE Probability Tree Questions DrFrost |
6. Similarity
| Learning Objective | Revision Resource | Practice | Extension |
| Know that similar shapes have the same angles and ratio between side lengths. They are enlargements of each other. | |||
| Be able to find a scale factor between 2 shapes, and use this to find other lengths in the shapes. | Similar Shapes Revision Video | Similar Shapes Transum Similar Shapes Practice Questions | Dr Austin Maths: Similar Shapes Dr Austin: Mark Scheme |
| Know that the area scale factor of two similar shapes is the square of the length scale factor. Apply this knowledge to solve problems. | Similar Shapes: Area and Volume Video | Area Scale Factors Transum | Interwoven Maths: Similar Shapes with Pythagoras/Trigonometry |
| Know that the volume scale factor of two similar shapes is the cube of the length scale factor. Apply this knowledge to solve problems. | (As above) | Volume Scale Factors Transum Dr Austin Maths: Similar Shapes 3D Dr Austin Answers | Similar Shapes: Areas and Volume Exam QuestionsSimilar Shapes: Areas and Volume Exam Questions |
Year 10 Practice Test for Topics 1 – 6!
This test gives you the chance to practice all of topics 1 – 6 from our revision guide. We’ve tried to give you a good variety of questions, with a mix of difficultly levels.
Thanks to Imad for creating this test.
Please note that we’ve included some revision topics from Year 8 & 9 in the earlier questions, as this is essential for your long-term revision.
7. 3D Shapes, Surface Area and Volume
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Be able to find the Surface Area and Volume of prisms. (Year 7 & 8 topics) | Volume Video Surface Area Video | Volume Transum Surface Area Transum | Surface Area and Volume: Fill in the Blanks – Interwoven Maths |
| Know the formulas for surface area and volume of: Spheres Cones Pyramids and Frustums Apply these formulas in exam style questions. | Volume and Surface Area of Cones, Pyramids, Spheres and Frustums Video | Volume of Pyramid Mixed Volumes Surface Area of Sphere Surface Area of a Pyramid Surface Area of a Cone | Volume of Sphere Exam Questions Volume of a Pyramid Exam Questions Surface Area of Sphere and Cones Markscheme for Surface Area Grade 7+ Exam Questions Video |
8. Algebra: Factorising and Expanding Expressions
9. Laws of Indices and Surds
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: Laws of Indices Know the laws of indices, and appeal these to simplifying algebra. | 🆕 Laws of Indices Revision Page | Laws of Indices Corbett Maths | Dr Frost: Full Coverage – Laws of Indices |
| Know how to simplify basic surd expressions. | Surds Revision Video | Surds Worksheet Transum: Surds | Interwoven Maths: Sequences with Surds Interwoven Maths: Averages with Surds |
| Be able to expand brackets involving surds. | (See video above) | Transum: Expanding Brackets with Surds | |
| Be able to simplify expressions involving rationalising the denominator. | (See video above) | Transum Rationalising the Denominator | Surds Corbett Maths Exam Questions |
Free Poster on Laws of Indices and Surds! (print now!)
Year 10 Practice Test for Topics 1 – 9!
This test gives you the chance to practice all of topics 1 – 9 from our revision guide. We’ve tried to give you a good variety of questions, with a mix of difficultly levels.
Thanks to Imad for creating this test.
Please note that we’ve included some revision topics from Year 8 & 9 in the earlier questions, as this is essential for your long-term revision.
10. Cumulative Frequency Graphs and Histograms
| Learning Objective | Revision Resource | Practice | Extension |
| Be able to construct cumulative frequency graphs. | Cumulative Frequency Graphs Video | Cumulative Frequency Worksheet | |
| Be able find mean, lower quartile, upper quartile and interquartile range. Be able to interpret cumulative frequency graphs. | See above video 🆕 Downloadable poster on Cumulative Frequency! | Cumulative Frequency Graphs Exam Questions | |
| Be able to construct and interpret Histograms. | Histrograms Video | | |
| Be able to solve exam style questions on Histograms. | Histograms Problems Video | Histograms Transum | Histograms Corbett Maths Dr Austin Maths: Histograms and Cumulative Frequency Practice Dr Austin Maths: Mark Scheme |
Casio ClassWizz Guide
Our quick and simple guide will help you use your calculator effectively in exams. Knows these life hacks will help you get more marks in GCSE maths!
11. Simultaneous Linear Equations
| Learning Objective | Revision Resource | Practice | Extension |
| Be able to solve simultaneous equations algebraically. | Solving Simultaneous Equations Video Solving Simultaneous Equations using a calculator video | Transum Solving Simultaneous Equations | Solving Simultaneous Equations Exam Questions Comparing Solutions: Extra Video on Simultaneous Equations |
| Be able to solve simultaneous equations using graphs. | Solve Simultaneous Equations Graphically | Transum Solving Simultaneous Equations Graphically | Solving Simultaneous Equations Graphically |
12. Direct and Inverse Proportion
| Learning Objective | Revision Resource | Practice | Extension |
| Solve problems involving direct proportion. | Direct and Indirect Proportion Video | Direct Proportion Transum | Direct and Indirect Proportion Exam Questions |
| Solve problems involving indirect proportion. | (See video above) | Indirect Proportion Transum |
Year 10 Topics 1-12 Practice Test
This test gives you the chance to practice all of topics 1 – 12 from our revision guide. We’ve tried to give you a good variety of questions, with a mix of difficultly levels.
Thanks to Imad for creating this test.
13. Inequalities on Graphs
| Learning Objective | Revision Resource | Practice | Extension |
| Revision: 1. Be able to express inequalities on number lines. 2. Be able to solve linear inequalities. | Inequalities Video | Transum Inequalities | |
| Be able to express inequalities on graphs. | Inequalities on Graphs Video | Inequalities on Graphs Exam Questions | |
| Be able to interpret graphical inequalities. | (see video above) | Dr Austin Maths: Graphical Inequalities Practice Mark Scheme | Dr Frost Full Coverage Graphical Inequalities Exam Questions |
Practice Test!
End of Year 10 Practice Exam
The best way to improve at exams is by practicing them. You can download our free printable test here and good luck!
For more extension activities, please visit our UKMT resources page.
We also have a general page for more revision resources.
We hope this was useful, however we’d also appreciate your feedback.
Disclaimer: This is a just a guide. Some schools may follow a different curriculum, and may teach different topics in different years. Addvance Maths is not responsible for content on external websites.
If you find an error, please let us know by emailing: addvancemaths@gmail.com
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