GCSE Maths Diagnostic Quiz

10 questions spanning Grades 4–9. Answer them all, see your estimated grade level, and find out which topics need work. No sign-up required.

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Q1 · Grade 4 Percentages

What is 15% of 80?

Q2 · Grade 4 Linear equations

Solve: 3x + 7 = 22

Q3 · Grade 5 Area

The area of a triangle with base 8 cm and height 6 cm is:

Q4 · Grade 5 Algebra

Simplify: 2a + 5b − a + 3b

Q5 · Grade 6 Factorising

Factorise: x² − 9

Q6 · Grade 6 Graphs

The gradient of y = 2x + 5 is:

Q7 · Grade 7 Quadratics

Solve 2x² + 5x − 3 = 0

Q8 · Grade 7 Trigonometry

sin(30°) = ?

Q9 · Grade 8 Algebraic fractions

Simplify: (3x² − 12) / (x − 2)

Q10 · Grade 9 Quadratic turning points

The turning point of y = x² − 6x + 8 is at:

How to Use This Diagnostic

This 10-question quiz spans the full GCSE Maths grade range — from Grade 4 topics (percentages, linear equations) up to Grade 9 (completing the square, quadratic turning points). It's designed as a quick snapshot of where a student sits right now, not a full grade prediction. For that, use our topic-by-topic grade calculator.

If you scored 8–10

You're tracking at Grade 7 or above. The route to a Grade 9 is usually exam technique — timing, showing working, and tackling the hardest 2-3 questions on each paper. Book a diagnostic and we'll focus on those.

If you scored 5–7

You're in the Grade 4–6 band. A targeted plan covering quadratics, trigonometry and graph work typically lifts students one full grade within 8–10 weeks of weekly tutoring.

If you scored below 5

The fundamentals need consolidating before exam prep makes sense. Start with linear algebra, proportional reasoning and basic geometry. A tutor can build a 12-week foundation plan that gets you exam-ready.

What this diagnostic does NOT do

Ten questions cannot capture every topic. The result is a rough indicator. For a precise picture, combine this diagnostic with our topic-by-topic grade calculator and — ideally — a real past paper sat under timed conditions.

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Our GCSE Maths tutors work with students across the grade range — from C/D borderlines lifting to a 5, to strong students chasing the elusive 9. Book a free 30-minute diagnostic.

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