GCSE Maths
Number, algebra, ratio, geometry and measures, probability and statistics. (AQA, Edexcel, OCR)
What the exam covers
- Number
- Algebra
- Ratio, proportion and rates of change
- Geometry and measures
- Probability
- Statistics
The most common mistakes, unit by unit
Number
- Multiplying indices that should be added. Exponent rules for multiplying powers →
Algebra
- Missing a negative when expanding brackets. Distributing a negative sign →
- Sign errors when factorising quadratics. Factoring quadratics into two brackets →
- Substitution slips in simultaneous equations. Solving a system by substitution →
Ratio, proportion and rates of change
- Not converting units in speed questions. Speed, distance and time →
Geometry and measures
- Adding squares when finding a shorter side. Using the Pythagorean theorem →
- Choosing the wrong trig ratio. Choosing sine, cosine or tangent (SOH CAH TOA) →
- Mixing up area and circumference. Area vs circumference of a circle →
- Confusing arc length with sector area. Finding arc length →
Probability
- Adding probabilities on a tree diagram when you should multiply along branches.
Statistics
- Plotting cumulative frequency at the midpoint instead of the upper class boundary.
A 2-week study plan
- Day 1Number
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 2Algebra
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 3Ratio, proportion and rates of change
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 4Geometry and measures
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 5Probability
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 6Statistics
- Read the common mistake for each unit below.
- Do 10 questions and save every miss.
- Clear any reviews that are due.
- Day 7Mixed review
- Redo every question you missed this week, without notes.
- Save anything still shaky as a miss so it comes back.
- Day 8Review what's due
- Clear due reviews first.
- Retry the day's hardest question from scratch.
- Day 9Review what's due
- Clear due reviews first.
- Retry the day's hardest question from scratch.
- Day 10Review what's due
- Clear due reviews first.
- Retry the day's hardest question from scratch.
- Day 11Review what's due
- Clear due reviews first.
- Retry the day's hardest question from scratch.
- Day 12Timed practice
- One timed set in GCSE Maths format.
- Mark it, then name the unit behind each wrong answer.
- Day 13Fix the gaps
- Practise only the units from yesterday's wrong answers.
- Explain each fix out loud in one sentence (Teach-back).
- Day 14Light review
- Clear today's due reviews — nothing new.
- Sleep well. You're done for today.
Free 5-question sample quiz
No signup. Tap an answer to see if you're right.
1. Expand −3(x − 4).
2. A circle has radius 5 cm. Its circumference to 1 d.p. is:
3. A right triangle has hypotenuse 13 and one side 5. The other side is:
4. Simplify a⁵ × a².
5. A car travels 150 km in 2.5 hours. Its average speed is:
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