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AQA GCSE Foundation June 2025 Paper 1 (non-calculator)

26 questions · 80 marks. Every question from the paper, recreated, with the official mark scheme, an annotated worked solution and a shadow question (the same skill with new numbers). Open the paper in the Ultimate Exam Question Finder to present it, print it or build a set.

  1. Question 1 (4 marks)

    (a)

    Write down the next number in the sequence

    1        4        7        10

    (1 mark)

    (b)

    Write down the next number in the sequence

    2        4        8        16

    (1 mark)

    (c)

    Write down the next number in the sequence

    20        14        8        2

    (1 mark)

    (d)

    Work out    3 × (-6)

    (1 mark)

  2. Question 2 (4 marks)

    Here is a card from a game.

    1332
    827
    1536

    (a)

    Write down the number from the card that is a multiple of 5

    (1 mark)

    (b)

    Write down the number from the card that is a factor of 40

    (1 mark)

    (c)

    Write down the number from the card that is a prime number.

    (1 mark)

    (d)

    Write down the number from the card that is a square number.

    (1 mark)

  3. Question 3 (3 marks)

    The pictogram shows information about the endings of street names in a town.
    The key is missing.

    Diagram: A pictogram with no key. Each symbol is a circle divided into quarters. Road: 3 symbols. Close: 2 symbols. Avenue: 1 and a quarter of a symbol. Lane: 1 symbol.

    In the town, there are 48 street names ending in Close.

    How many street names end in Avenue?

    (3 marks)

  4. Question 4 (3 marks)

    Ola and Pip make orange paint by mixing red paint and yellow paint.

    The graph shows how much of each colour paint to use.

    Diagram: A graph with red paint in litres across, from 0 to 9, and yellow paint in litres up, from 0 to 11, on a grid with small squares of 0.2. A straight line goes from (0, 0) to (8, 10).

    (a)

    Ola uses 5 litres of yellow paint.

    Write down how much red paint Ola uses.

    (1 mark)

    (b)

    Pip uses 10 litres of yellow paint.

    How much orange paint does Pip make?

    (2 marks)

  5. Question 5 (3 marks)

    A number is divided by 8
    The answer is 43 remainder 5

    Work out the number.

    (3 marks)

  6. Question 6 (3 marks)

    Quin buys 200 toys for £4 each.
    He sells the toys for £5 each.

    What is the least number of toys he must sell to make a profit?

    (3 marks)

  7. Question 7 (4 marks)

    Vinyl records cost £25 each.

    Offer
    Buy one and get another for half price

    Arif wants to buy two vinyl records.
    He saves £8 every Saturday.

    (a)

    Assume the offer is permanent.

    How many Saturdays does Arif need to save for?
    You must show your working.

    (3 marks)

    (b)

    In fact, the offer is only for 1 week and there are no new offers.

    What does this mean about the number of Saturdays he needs to save for?
    Tick one box.

    It is less than the answer to part (a)square
    It is the same as the answer to part (a)square
    It is greater than the answer to part (a)square
    It is not possible to tellsquare

    (1 mark)

  8. Question 8 (3 marks)

    Here is a list of ingredients for lentil soup.

    Lentil soup for 4 people
    Lentils170 g
    Water600 ml
    Onion50 g

    How many grams of lentils are needed to make this soup for 10 people?

    (3 marks)

  9. Question 9 (4 marks)

    Numbered discs are in two boxes.

    Diagram: Two boxes of numbered discs. Box A holds discs numbered 2, 3, 4, 2, 9. Box B holds discs numbered 1, 1, 1, 3, 2, 9, 4, 4.

    (a)

    Work out the ratio

        total value of the numbers in Box A : total value of the numbers in Box B

    Give your answer in its simplest form.

    (3 marks)

    (b)

    One disc is picked at random from Box A.
    Write down the probability that the number on the disc is greater than 6

    (1 mark)

  10. Question 10 (3 marks)

    Work out the value of    2(a² + 3a)    when    a = 4

    (3 marks)

  11. Question 11 (1 mark)

    In this question use a pair of compasses.
    The line shown is the diameter of a circle, centre X.

    Draw the circle.

    Diagram: A straight line 8 cm long with the point X marked at its middle.

    (1 mark)

  12. Question 12 (6 marks)

    (a)

    One day,

    • a company runs 240 trains
    • 1/8 of these trains are late.

    The company is charged £350 for each late train.

    How much is the company charged that day?

    (3 marks)

    (b)

    Hot drinks are sold at a station in the ratio

        tea : coffee : hot chocolate    = 3 : 5 : 2

    2600 hot drinks are sold.

    How many coffees are sold?

    (3 marks)

  13. Question 13 (3 marks)

    MN is a straight line.

    Diagram: A straight line MN going up to the right. From a point on MN a line goes up to the left. The angle between it and the part of the line towards M is 74°. The angle between it and the part of the line towards N is marked 2x.

    Work out the value of x.

    (3 marks)

  14. Question 14 (4 marks)

    (a)

    By rounding each number to 1 significant figure, estimate the value of

        1.98 × 3.82 + 6.75²

    You must show your working.

    (3 marks)

    (b)

    Is your answer to part (a) an overestimate or an underestimate?
    Tick one box.

    OverestimatesquareUnderestimatesquare

    Give a reason for your answer.

    (1 mark)

  15. Question 15 (3 marks)

    (a)

    A sphere has diameter 20 cm

    Show that the radius of the sphere is 10 cm

    (1 mark)

    (b)

    The volume of a sphere is    4/3π r³    where r is the radius.

    Work out the volume of a sphere with diameter 20 cm

    Give your answer in terms of π

    (2 marks)

  16. Question 16 (4 marks)

        d = 800/w

    • d represents the number of days to complete a job.
    • w represents the number of workers needed.

    (a)

    Assume the job needs completing in 20 days.

    How many workers are needed?

    (3 marks)

    (b)

    In fact, the job needs completing in fewer than 20 days.

    What does this mean about the number of workers that are needed?
    Tick one box.

    It is less than the answer to part (a)square
    It is the same as the answer to part (a)square
    It is greater than the answer to part (a)square

    (1 mark)

  17. Question 17 (1 mark)

    A chord is drawn on a circle.

    Which statement is correct?
    Tick one box.

    The chord must be longer than the radius.square
    The chord must be equal in length to the radius.square
    The chord must be shorter than the radius.square
    The chord could be longer than, equal in length to or shorter than the radius.square

    (1 mark)

  18. Question 18 (2 marks)

    A metal solid has volume 11 cm³
    The density of the metal is 8.5 g/cm³

    Work out the mass of the solid.

    (2 marks)

  19. Question 19 (3 marks)

    The table shows information about the marks of students in a test.

    Mean markRange of marks
    School A6114
    School B5621

    Tick one box for each statement.

    TrueMay be trueNot true
    On average, School A had higher markssquaresquaresquare
    There are more students in School Bsquaresquaresquare
    School B had a greater spread of markssquaresquaresquare

    (3 marks)

  20. Question 20 (4 marks)

    (a)

    Work out    0.6 ÷ 100

    Give your answer in standard form.

    (2 marks)

    (b)

    Work out    40 × 30 × 10⁵

    Give your answer in standard form.

    (2 marks)

  21. Question 21 (2 marks)

    Here is a cuboid.

    Complete the drawing of the net on the centimetre grid.

    Diagram: A cuboid 5 cm by 3 cm by 2 cm.

    Diagram: A centimetre grid, 15 squares across and 15 up. Part of a net is drawn: rectangles 5 by 2 with its bottom left corner 3 across and 12 up; 5 by 3 with its bottom left corner 3 across and 9 up; 2 by 3 with its bottom left corner 1 across and 9 up.

    (2 marks)

  22. Question 22 (4 marks)

    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 medal.
    • 73 of the students who win a medal are in Year 11

    Complete the frequency tree.

    Diagram: A frequency tree: 330 at the start, branching into Year 10 and Year 11, then each branching into Medal and No medal. The other six ovals are empty.

    (4 marks)

  23. Question 23 (3 marks)

    Work out    4/15 + 1/5 ÷ 1/2

    Give your answer as a fraction.

    (3 marks)

  24. Question 24 (1 mark)

        y = 1/x

    Which of these values of x gives the greatest value of y?
    Circle your answer.

    9/202/5–8095

    (1 mark)

  25. Question 25 (1 mark)

    Circle the value of    sin 90°

    01/2dfrac√321

    (1 mark)

  26. Question 26 (4 marks)

    Diagram: A rectangle. The top side is labelled (x + 2) cm and the left side is labelled (x – 5) cm.

    The area of the rectangle is 120 cm²

    Work out the value of x.

    (4 marks)

Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.

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