GCSE Maths Topics Checklist: Master Every Key Skill

Introduction

Preparing for your GCSE Maths exam can feel overwhelming, but breaking it down into manageable topics is key. This GCSE Maths Topics Checklist will guide you through all the essential areas you need to master, complete with examples, practice exercises, and exam tips tailored for UK students. Let’s dive in!

Key GCSE Maths Topics

Below is a comprehensive list of the main topics covered in GCSE Maths, categorised by their broader areas:

1. Number

• Place value and rounding
• Factors, multiples, and primes
• Fractions, decimals, and percentages
• Ratio and proportion
• Standard form
• Indices and surds

Example: Simplify (2^3 × 2^4). Answer: 2^(3+4) = 2^7 = 128.

2. Algebra

• Expressions, equations, and inequalities
• Quadratic equations
• Simultaneous equations
• Sequences
• Graphs and transformations

Example: Solve 2x + 3 = 7. Answer: x = 2.

3. Geometry and Measures

• Angles and triangles
• Circles and circle theorems
• Area, perimeter, and volume
• Pythagoras’ theorem
• Trigonometry

Example: Calculate the hypotenuse of a right-angled triangle with sides 3 cm and 4 cm. Answer: √(3² + 4²) = 5 cm.

4. Statistics and Probability

• Mean, median, mode, and range
• Probability rules
• Graphs and charts
• Scatter diagrams and correlation

Example: If the probability of rolling a 6 on a die is 1/6, what is the probability of rolling a 6 twice in a row? Answer: (1/6) × (1/6) = 1/36.

Practice Exercises

Test your knowledge with these practice questions:

1. Simplify 5x − 3x + 7.
2. Find the area of a circle with radius 5 cm (use π = 3.14).
3. Calculate the probability of flipping two heads with a fair coin.
4. Solve y² − 9 = 0.

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Exam Technique Tips

Maximise your marks in GCSE Maths with these expert exam tips:

• Time Management: Divide your time wisely across sections. Allocate more time to complex problems like algebra or geometry.
• Show Your Working: Always write down your calculations. Even if your final answer is incorrect, you can earn partial credit.
• Check Your Answers: If you finish early, revisit all questions to ensure accuracy.
• Use a Calculator: Familiarise yourself with your calculator’s functions before the exam.

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Final Thoughts

By using this GCSE Maths Topics Checklist, you’ll be on your way to mastering the curriculum and acing your exam. Remember to practise regularly, focus on your weak areas, and stay confident. If you need personalised guidance, our AI tutors [LINK:/genies] are here to help!