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Predicted paper
AQA GCSE Maths 2026 Predicted Practice Paper — Paper 1 Higher
GCSE Mathematics · AQA-style · 90 minutes · 80 marks
Modelled component: 8300/1H · Tier: Higher · Non-calculator
Models AQA 8300 Paper 1 Higher: 1 hour 30 minutes, 80 marks, non-calculator.
Prediction type: predicted_paper · Evidence mode: historical · Full-length original practice paper modelled on AQA's public GCSE Maths structure. It is not official, leaked or guaranteed.
Evidence basis: official public assessment structure, full-paper mark total, board-specific calculator rules, GCSE Maths topic weighting, higher-tier problem-solving mix.
68
0–100 model (higher = more demanding)
- Ratio and proportion
- Bounds
- Circle theorems
- Quadratics
- Vectors
- Probability without replacement
I completed a StudyVector GCSE Mathematics derived predicted-practice paper (2026) and scored 0/80. This is practice-only and not an official paper:
Section A
Answer all questions. Calculators must not be used.
Question A1 (2 marks)
Work out 7/8 of 64.
Question A2 (2 marks)
Write 180 as a product of prime factors.
Question A3 (3 marks)
Work out 5/6 - 2/9. Give your answer as a fraction in its simplest form.
Question A4 (3 marks)
A prize is shared in the ratio 3 : 5 : 8. The total prize is GBP320. Work out the largest share.
Question A5 (3 marks)
The nth term of a sequence is 5n - 2. Write down the first three terms and decide whether 78 is a term in the sequence.
Question A6 (4 marks)
Expand and simplify (3x - 2)(x + 5) - x(x - 4).
Question A7 (4 marks)
Two parallel lines are crossed by a transversal. One interior angle is 68 degrees. The co-interior angle on the other parallel line is x. Work out x and give a reason.
Question A8 (4 marks)
A bag contains 12 red counters, 8 blue counters and 5 green counters. Two counters are chosen without replacement. Work out the probability that both counters are blue.
Section B
Answer all questions. You must show your working.
Question B1 (4 marks)
Solve the simultaneous equations 2x + y = 17 and x - y = 4.
Question B2 (4 marks)
A rectangle has length 7.2 cm and width 3.6 cm, each correct to the nearest 0.1 cm. Work out the upper bound for the perimeter.
Question B3 (5 marks)
A straight line passes through (2, 7) and (6, 15). Find the equation of the line and the value of y when x = 10.
Question B4 (5 marks)
A price after a 15% increase is GBP230. Work out the original price.
Question B5 (5 marks)
Estimate the mean from this grouped frequency table: 0 < x <= 10: 4, 10 < x <= 20: 7, 20 < x <= 30: 9, 30 < x <= 40: 5.
Question B6 (6 marks)
A, B and C are points on a circle with centre O. Angle ACB is 34 degrees. Work out the reflex angle AOB. Give reasons for your answer.
Question B7 (6 marks)
A rectangle has length (x + 4) cm and width (x - 1) cm. Its area is 50 cm^2. Form an equation and solve it to find x.
Section C
Answer all questions. These questions are intended to be more demanding.
Question C1 (5 marks)
Prove that the product of two consecutive even numbers is always divisible by 4.
Question C2 (5 marks)
Expand and simplify (3 + sqrt(5))^2. Give your answer in the form a + b sqrt(5).
Question C3 (5 marks)
The graph y = f(x) contains the point (2, 3). Find the image of this point on the graph y = 2f(x - 1) + 4.
Question C4 (5 marks)
O is the origin. OA = a and OB = b. M is the midpoint of AB. Find OM in terms of a and b.
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