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AQA GCSE Maths questions by topic

Every question from every AQA GCSE Mathematics (8300), Higher tier paper, 2017–2025, question by question. Filter by topic, paper or year, open the mark scheme under any question, and download a set as a PDF.

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1,304 questions

  1. Q1

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 1: Solve the simultaneous equations 2x + 5y = 18 2x + y = 6 x = y =

  2. Q2

    June 2025 · Paper 1H

    2 marks
    The whole paper ↗
    June 2025 Paper 1H, question 2: 1.07 < 9 x < 1.17 where x is an integer. Work out the value of x. x =

  3. Q3

    June 2025 · Paper 1H

    2 marks
    The whole paper ↗
    June 2025 Paper 1H, question 3: A metal solid has volume 11 cm3 The density of the metal is 8.5 g/cm3 Work out the mass of the solid. Answer g

  4. Q4

    June 2025 · Paper 1H

    2 marks
    The whole paper ↗
    June 2025 Paper 1H, question 4: Here are 11 numbers. 2 8 10 12 12 14 19 23 26 31 33 Work out the inter-quartile range. Answer

  5. Q5

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 5: The table shows information about the marks of students in a test. Mean mark Range of marks School A 61 14 School B 56 21 Tick one box for each statement. True

  6. Q6

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 6: (a) Work out 0.6 ÷ 100 Give your answer in standard form. Answer 6 (b) Work out 40 × 30 × 105 Give your answer in standard form. Answer

  7. Q7

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 7: 330 students from Year 10 and Year 11 take part in a competition. • number of students in Year 10 : number of students in Year 11 = 1 : 2 • 125 students win a m

  8. Q8

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 8: Work out 4 15 + 1 5 ÷ 1 2 Give your answer as a fraction. Answer

  9. Q9

    June 2025 · Paper 1H

    1 mark
    The whole paper ↗
    June 2025 Paper 1H, question 9: y = x 1 Which of these values of x gives the greatest value of y ? Circle your answer. 9 20 2 5 – 80 95

  10. Q10

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 10: The area of the rectangle is 120 cm2 Work out the value of x. Not drawn accurately x =

  11. Q11

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 11: 11 (a) Write down the translation vector that maps shape A to shape B. Answer       11 (b) Describe fully a rotation that maps A to B.

  12. Q12

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 12: Oscar and Nikita share some money in the ratio 8 : 5 Oscar has £27 more than Nikita. How much do they have altogether? Answer £

  13. Q13

    June 2025 · Paper 1H

    2 marks
    The whole paper ↗
    June 2025 Paper 1H, question 13: c and d are consecutive cube numbers, where c < 4.53 < d Work out the value of d – c Answer

  14. Q14

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 14: (a) Complete the table of values for y = 2x x –1 0 1 2 3 y 1 4 14 (b) Draw the graph of y = 2x for values of x from –1 to 3

  15. Q15

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 15: A, C and D are points on a circle, diameter AC. ABC is an isosceles triangle with AC = BC BCD is a straight line. Work out the size of angle x. Not drawn accura

  16. Q16

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 16: A and B are two events. Match each box on the left to the correct shaded area on the Venn diagrams. One has been done for you.

  17. Q17

    June 2025 · Paper 1H

    4 marks
    The whole paper ↗
    June 2025 Paper 1H, question 17: A bus is due to arrive at a bus stop at 1 pm The probability that the bus is on time is halved when it is raining. 17 (a) Complete the tree diagram. 17 (b) Work

  18. Q18

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 18: Show that × sin 30 cos 45 tan 60 ° ° ° can be written in the form a b where a and b are integers.

  19. Q19

    June 2025 · Paper 1H

    5 marks
    The whole paper ↗
    June 2025 Paper 1H, question 19: (a) Work out the value of −       3 2 9 16 Answer 19 (b) 125 = 5n Work out the value of n. n =

  20. Q20

    June 2025 · Paper 1H

    3 marks
    The whole paper ↗
    June 2025 Paper 1H, question 20: Express 44 + 99 + 275 in the form a n where a and n are integers. Answer

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