ExpertAQA GCSE
AQA GCSE Maths Higher Tier Paper 1 Non-Calculator
32 free questions · No sign-up required to browse
AQA Higher Tier Exam-style past paper with complete mark schemes, hints, AI assistance and detailed explanations. This paper is non-calculator.
32
Questions
Hard
Difficulty
48%
Pass mark
Difficulty breakdown
Easy(16)
Medium(13)
Hard(3)
Topics covered
Browse all topics →Sample questions
Q02Easy1 mark
Measure the shortest distance from point P to the line. Give your answer in millimetres.
Q03Easy1 mark
The vector (<sup>-3</sup><sub>7</sub>) translates A to B. Write down the vector that translates B to A.
Q04.1Easy1 mark
The attendance for a rugby match is 8400 people to the nearest 100.
Write down the minimum possible attendance.
Ready to Practice the full exam?
All 32 questions with worked answers, detailed explanations, guidance and hints.
All questions (32)
Free to browse · no sign-up requiredQ01Work out 12² ÷ (1/3 × √36)EasyQ02Measure the shortest distance from point P to the line. Give your answer in millimetres.EasyQ03The vector (<sup>-3</sup><sub>7</sub>) translates A to B. Write down the vector that translates B to A.EasyQ04.1The attendance for a rugby match is 8400 people to the nearest 100.
Write down the minimum possible attendance.EasyQ04.2Write down the maximum possible attendance.EasyQ05.1A school year has 78 students.
28 wear glasses.
1/4 of the students who wear glasses are left-handed.
30% of the stud...MediumQ05.2A left-handed student is chosen at random. Work out the probability that the student wears glasses.MediumQ06.1The table shows the number of workers at a company in different years.
A time-series graph is drawn to represent the ...EasyQ06.2Estimate the number of workers at the company in 2023.EasyQ07.1Here is a cone.
Curved surface area of a cone = πrl, where r is the radius and l is the slant height.
Beth tries to w...EasyQ07.2Adam uses π = 3 to estimate the area of the base of the cone. Work out his estimate.EasyQ07.3Beth uses π = 3.14 to estimate the area of the base of the cone. Is Beth's estimate more than or less than Adam's est...EasyQ08Solve 7x - 22 = 4x + 29EasyQ09In a house, the floor area of the living room is 26 m² and the floor area of the kitchen is 16.4 m².
Express the area...MediumQ10.1Represent -2 < x < 4 on the number line.EasyQ10.2Solve 5y + 14 ≥ 11EasyQ11Describe fully the single transformation that maps shape A to shape B.MediumQ12A sector has radius 12 cm and angle 60°. Work out the length of the arc. Give your answer in terms of π.MediumQ144 chocolate bars and 3 packets of mints cost £4.70.
5 chocolate bars and 1 packet of mints cost £4.50.
Work out the c...MediumQ15.1Between which two consecutive integers does the square root of 210 lie?EasyQ15.2Here are two calculations, A and B.
A: 1.92⁷ + 6.9³
B: 5 × ³√1000350
Use approximations to show that answer to A < an...MediumQ16The table shows information about the ages of members of two clubs.
Compare the average age and consistency of ages f...EasyQ17Rearrange y = (3x + 7) / x to make x the subject.MediumQ18A circle has centre O and passes through (0, 6). Write down the equation of the circle.EasyQ19A, B and C are numbers.
Here is some information about B and C.
B = 7/4 of A
C = A increased by 150%
Work out C as a ...HardQ205x³ + ax² + bx + c ≡ kx³ + (2 - k)x² + (a² - 1)x + b/2
Work out the values of a, b and c.MediumQ21Prove algebraically that 1.018 (with 18 recurring) = 56/55MediumQ23.1The first three terms of a geometric progression are √5/2, 5/4, 5√5/8. Work out the next term.MediumQ23.2The nth term of a sequence is (2 + √3)ⁿ. Show that the third term is 26 + 15√3.MediumQ24.19k + 7 and 2k² + 3 are consecutive integers.
9k + 7 is the smaller integer.
Work out the value of the next consecutiv...HardQ24.2x is a square number. Show that the next square number is x + 2√x + 1.MediumQ25Show that the value of 6 sin 30° + 2 cos 30° × 4 tan 30° is an integer.Hard