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GCSE Maths 2025 Exams: Key Topics for Year 10 & 11 Students

The GCSE Maths 2025 exams are a crucial milestone for Year 10 and Year 11 students. To ensure success, students must focus on core topics that are frequently tested and align with the latest curriculum updates. This guide highlights the key topics that students should prioritize in their revision to achieve top grades in their exams.

Number and Algebra

1. Fractions, Decimals, and Percentages

  • Converting between fractions, decimals, and percentages.

  • Solving real-world percentage problems, including percentage increase, decrease, and reverse percentages.

  • Understanding recurring decimals and their fractional representations. GCSE Exam Dates 2025

2. Surds and Indices

  • Simplifying and rationalizing surds.

  • Applying the laws of indices, including fractional and negative indices.

  • Solving problems involving exponential growth and decay.

3. Algebraic Expressions and Manipulations

  • Expanding and factorizing expressions, including quadratics.

  • Simplifying algebraic fractions.

  • Using the laws of indices in algebraic expressions.

4. Equations and Inequalities

  • Solving linear, quadratic, and simultaneous equations.

  • Graphing and solving inequalities, including quadratic inequalities.

  • Applying equations to real-world problems, including motion and finance.

Graphs and Functions

5. Linear and Quadratic Graphs

  • Plotting and interpreting linear equations.

  • Understanding the properties of quadratic graphs, including turning points and axes of symmetry.

  • Solving quadratic equations graphically.

6. Exponential and Reciprocal Graphs

  • Understanding the key features of exponential and reciprocal functions.

  • Applying knowledge to growth and decay models.

  • Sketching and interpreting graphs for real-world applications.

7. Transformations of Functions

  • Translating and reflecting graphs using function notation.

  • Stretching graphs and identifying transformations.

  • Understanding composite and inverse functions. A Level Exam Dates 2025

Geometry and Measures

8. Trigonometry

  • Using sine, cosine, and tangent in right-angled triangles.

  • Applying trigonometric ratios to non-right-angled triangles using the Sine Rule and Cosine Rule.

  • Understanding and using the area of a triangle formula: 1/2 ab sinC.

  • Graphing trigonometric functions and solving equations.

9. Pythagoras’ Theorem

  • Applying Pythagoras’ Theorem to find missing lengths in 2D and 3D problems.

  • Using Pythagoras in real-life applications, such as navigation and construction.

10. Circles, Arcs, and Sectors

  • Calculating arc lengths, sector areas, and segment areas.

  • Understanding circle theorems and their proofs.

  • Applying circle theorems to solve angle problems.

11. Volume and Surface Area

  • Calculating the volume and surface area of 3D shapes, including spheres, pyramids, and cones.

  • Solving compound shape problems that require multiple calculations.

Probability and Statistics

12. Probability Rules and Tree Diagrams

  • Understanding independent and dependent events.

  • Calculating probabilities using tree diagrams and Venn diagrams.

  • Solving problems using the addition and multiplication rules of probability.

13. Data Representation and Interpretation

  • Constructing and interpreting histograms, cumulative frequency graphs, and box plots.

  • Calculating and comparing measures of central tendency (mean, median, mode) and spread (range, interquartile range, standard deviation). Understanding A-Level Marking Schemes

14. Statistical Sampling Methods

  • Understanding different types of sampling: random, systematic, and stratified.

  • Evaluating the reliability and validity of sample data.

  • Applying sampling techniques to real-world scenarios.

Ratio, Proportion, and Rates of Change

15. Direct and Inverse Proportion

  • Solving problems involving direct and inverse proportion.

  • Understanding proportional relationships using graphs and algebraic equations.

16. Speed, Density, and Other Rates of Change

  • Using the formulas for speed, density, and pressure.

  • Applying proportional reasoning to real-world problems.

17. Growth and Decay

  • Solving problems related to compound interest, depreciation, and population growth.

  • Using exponential functions to model real-world situations.

Exam Preparation Tips for GCSE Maths 2025

18. Effective Revision Strategies

  • Use past papers and mark schemes to familiarize yourself with exam questions.

  • Create a revision timetable that covers all topics systematically.

  • Use online resources such as YouTube tutorials and revision websites.

19. Common Mistakes to Avoid

  • Not showing working for multi-step calculations.

  • Misreading questions, especially in word problems.

  • Forgetting to check answers for reasonableness and accuracy.

20. Managing Exam Stress

  • Practice mindfulness and relaxation techniques.

  • Maintain a balanced study schedule with breaks and exercise.

  • Stay confident and trust your preparation.

Conclusion

By focusing on these key GCSE Maths topics for 2025, Year 10 and 11 students can maximize their chances of success. Regular practice, effective revision techniques, and a strong grasp of fundamental concepts will help students achieve top grades in their exams. Enrol for Online GCSE Classes