Practice questions for the AQA GCSE Mathematics (8300), Higher tier specification, for teaching in England. Every answer is explained, so you can see why the right option is right.
About this practice. Revision Robin is built and maintained by Bloor Engineering Ltd, a UK-registered company. Our GCSE Mathematics Higher (AQA) questions are written and reviewed in-house to match the current syllabus, each with a plain-English worked explanation. They are original practice material, not the official exam questions and not affiliated with or endorsed by AQA. Always confirm current test rules, fees and content with the official provider. See our Terms and Privacy.
Weak on a topic? Drill just that one till it clicks, then move on.
Free practice questions
Try 3 real GCSE Mathematics Higher (AQA) questions
Have a go, then reveal the worked explanation. A taster from a bank of 209 original questions. Unlock for unlimited drills and full timed mocks.
Q1. Solve the equation x² + 5x - 14 = 0.
A. x = -7 and x = 2
B. x = 7 and x = -2
C. x = -7 and x = -2
D. x = 7 and x = 2
Show answer & explanation
✓ Answer: A. x = -7 and x = 2
Factorise the quadratic to (x + 7)(x - 2) = 0. The two solutions are therefore x = -7 and x = 2.
Q2. What is the value of 64²/³?
A. 512
B. 8
C. 16
D. 42.7
Show answer & explanation
✓ Answer: C. 16
The denominator of the fractional power is 3, so we find the cube root. The numerator is 2, so we square the result. The cube root of 64 is 4, and 4 squared is 16.
Q3. y is inversely proportional to the square of x. Given that y = 4 when x = 5, find the value of y when x = 10.
A. 2
B. 0.5
C. 1
D. 16
Show answer & explanation
✓ Answer: C. 1
The relationship is y = k/x². Substitute the given values: 4 = k/5², so 4 = k/25, which gives k = 100. The formula is y = 100/x². When x = 10, y = 100/10² = 100/100 = 1.
Exam mode
Full mock exam
40 random questions, real timing, marked against the official pass mark. Different every time.
The first 8 of 40 questions are free, with your score on them. Finishing the paper, your result against the pass mark and every answer explained come with the paid version.
Try it free
Topic drills
Ten quick questions on one topic, marked instantly with explanations.
1 free drill left.
Who has to sit the GCSE Mathematics Higher (AQA)
Who needs a GCSE Mathematics Higher (AQA)?
Students aiming for grades 6-9, or those with strong mathematical skills planning A-Level Maths. The school determines the tier.
The real GCSE Mathematics Higher (AQA): format
How long is the GCSE Mathematics Higher (AQA)?
The real GCSE Mathematics Higher (AQA) lasts 90 minutes. Our mock uses 40 questions in 60 minutes.
What it costs, and what a resit costs
How much does the GCSE Mathematics Higher (AQA) cost?
Real exam fee: AQA board fee is £51.20. Total private candidate fees range from approx. £225-£332, varying by exam centre. Resit fee: AQA board late entry fee is £102.40; very late is £128.00. Total private candidate resit fees range from approx. £250-£395.
How hard is it
How hard is the GCSE Mathematics Higher (AQA)?
Difficulty: Demanding, covering advanced topics in greater depth with complex multi-step problem-solving and rigorous proofs. Aims for grades 4-9.
Why people fail it
Why do people fail the GCSE Mathematics Higher (AQA)?
Not showing working; marks are often awarded for method, not just the final answer.
Weak algebra foundations, critical for roughly 30% of the paper and interconnected topics.
Figures for the real exam from vertexaisearch.cloud.google.com, checked October 2026. Fees and rules change, so confirm with the test provider before you book.
GCSE Mathematics Higher (AQA): common questions
Frequently asked
How many questions are in the GCSE Mathematics Higher (AQA)?
The exam has 40 questions. Every Revision Robin mock uses the same 40-question format so your practice matches the real thing.
What is the pass mark for the GCSE Mathematics Higher (AQA)?
You need 24 out of 40 correct to pass, which is about 60%. Our mocks mark you against this exact threshold.
Are these the real exam questions?
No. Our questions are original and written to match the current syllabus, so they give realistic practice without copying the official paper. Every answer comes with a plain-English explanation. Always confirm current rules and content with AQA.