Edexcel GCSE Foundation November 2021 Paper 1 (non-calculator)

28 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 (1 mark)

    Write 3/10 as a percentage.

    (1 mark)

  2. Question 2 (1 mark)

    Write the following numbers in order of size.
    Start with the smallest number.

    8    –7    –10    1    0    –2

    (1 mark)

  3. Question 3 (1 mark)

    Write 9/100 as a decimal.

    (1 mark)

  4. Question 4 (1 mark)

    Write 327 correct to the nearest ten.

    (1 mark)

  5. Question 5 (1 mark)

    Write down the value of 7²

    (1 mark)

  6. Question 6 (2 marks)

    (a)

    Write down the mathematical name of this quadrilateral.

    Diagram: A quadrilateral: a long top side and a shorter bottom side, both marked with arrows as parallel; the two slanting sides are not parallel.

    (1 mark)

    (b)

    Write down the mathematical name of this 3-D shape.

    Diagram: A cylinder standing on one of its circular ends.

    (1 mark)

  7. Question 7 (2 marks)

    £42 is shared equally between 3 friends.

    How much does each friend get?

    (2 marks)

  8. Question 8 (1 mark)

    Grace recorded the eye colour of each of the students in her class.
    The frequency table below shows her results.

    Eye colourFrequency
    blue10
    brown15
    green4

    Grace then drew the bar chart below for this information.

    Diagram: Bar chart. blue: 10. brown: 16. green: 4.

    Write down one thing that is wrong with this bar chart.

    (1 mark)

  9. Question 9 (3 marks)

    Danny buys,
    1 loaf of bread for £1.20
    1 bottle of milk for 70p
    2 packets of cheese for £2.30 each packet

    Danny pays with a £10 note.

    He says,
    “I should get £3.30 change.”

    Is Danny correct?
    You must show how you get your answer.

    (3 marks)

  10. Question 10 (2 marks)

    Rachel records the temperature in her garden at noon each day.

    On Monday, the temperature was 5 °C.
    On Tuesday, the temperature was 10 ° less than the temperature on Monday.
    On Wednesday, the temperature was 3° greater than the temperature on Tuesday.

    Find the difference between the temperature on Monday and the temperature on Wednesday.
    You must show all your working.

    (2 marks)

  11. Question 11 (6 marks)

    The pictogram shows information about the number of video games sold in a shop on
    Monday, on Tuesday and on Wednesday.

    Diagram: Pictogram. Key: a square split into quarters represents 8 video games. Monday: 2 squares. Tuesday: 2.75 squares. Wednesday: 1.25 squares. Thursday: blank. Friday: blank.

    (a)

    How many video games were sold on Monday?

    (1 mark)

    (b)

    More video games were sold on Tuesday than on Wednesday. How many more?

    (2 marks)

    (c)

    On Thursday and Friday, a total of 32 video games were sold in the shop.

    1/4 of these 32 video games were sold in the shop on Thursday.

    Complete the pictogram for Thursday and Friday.

    (3 marks)

  12. Question 12 (3 marks)

    There are two drama groups in a school.

    In one group there are 36 boys and 48 girls.

    In the other group, 3/7 of the students are boys and the rest of the students are girls.

    Ann says,
    “The ratio of the number of boys to the number of girls is the same for both groups.”

    Is Ann correct?
    You must show how you get your answer.

    (3 marks)

  13. Question 13 (3 marks)

    A number sequence starts    1    2    4

    Emma says that the next term is 7

    (a)

    Explain why Emma may be correct.

    (1 mark)

    (b)

    Here are the first four terms of the sequence of triangle numbers.

    1    3    6    10

    Find the 8th term of this sequence.

    (2 marks)

  14. Question 14 (4 marks)

    3 kg of carrots cost £1.80
    2 kg of carrots and 5 kg of potatoes cost a total of £3.45

    Work out the total cost of 4 kg of carrots and 2 kg of potatoes.
    You must show all your working.

    (4 marks)

  15. Question 15 (4 marks)

    (a)

    Expand 2(a + d)

    (1 mark)

    (b)

    Factorise 6y² – 5y

    (1 mark)

    (c)

    Solve 4x – 7 = 37

    (2 marks)

  16. Question 16 (4 marks)

    ABCD is a kite.

    Diagram: Kite ABCD with B at the top, A on the left, C on the right and D at the bottom. Side AB is labelled (4x – 2) cm.

    AB = (4x – 2) cm

    (a)

    Jasper says that x could be 0.5

    Explain why Jasper cannot be correct.

    (1 mark)

    (b)

    AD = 3AB
    The kite has a perimeter of 64 cm.

    Find the value of x.

    (3 marks)

  17. Question 17 (5 marks)

    Heidi wants to make some biscuits using this recipe.

    Makes 12 biscuits
    125 g butter
    200 g flour
    50 g sugar

    Heidi thinks that she has,
    500 g butter
    700 g flour
    250 g sugar

    (a)

    Assuming that these weights are correct,

    work out the greatest number of biscuits Heidi can make.
    You must show all your working.

    (4 marks)

    (b)

    Heidi is wrong.
    She has more than 250 g of sugar.

    Does this affect the greatest number of biscuits Heidi can make?
    Give a reason for your answer.

    (1 mark)

  18. Question 18 (3 marks)

    On the grid below, draw the graph of y = 2x – 2 for values of x from –2 to 3

    Diagram: A graph.

    (3 marks)

  19. Question 19 (3 marks)

    Robin buys a watch for £80
    He sells the watch for £56

    Work out his percentage loss.

    (3 marks)

  20. Question 20 (6 marks)

    (a)

    Work out 3.67 × 4.2

    (3 marks)

    (b)

    Work out 59.84 ÷ 1.6

    (3 marks)

  21. Question 21 (3 marks)

    ℰ = {even numbers less than 19}
    A = {6, 12, 18}
    B = {2, 6, 14, 18}

    Complete the Venn diagram for this information.

    Diagram: Venn diagram with sets A and B. Only A: . Both: . Only B: . Neither: .

    (3 marks)

  22. Question 22 (3 marks)

    Work out 41/5 – 22/3

    Give your answer as a mixed number.

    (3 marks)

  23. Question 23 (4 marks)

    At the end of 2017
    the value of Tamara’s house was £220 000
    the value of Rahim’s house was £160 000

    At the end of 2019
    the value of Tamara’s house had decreased by 20%
    the value of Rahim’s house had increased by 30%

    At the end of 2019, whose house had the greater value?
    You must show how you get your answer.

    (4 marks)

  24. Question 24 (3 marks)

    Rosie, Matilda and Ibrahim collect stickers.

    number of stickers Rosie has : number of stickers Matilda has : number of stickers Ibrahim has = 4 : 7 : 15

    Ibrahim has 24 more stickers than Matilda.

    Ibrahim has more stickers than Rosie.
    How many more?

    (3 marks)

  25. Question 25 (3 marks)

    The diagram shows a prism.

    Diagram: A triangular prism. Its end is a right-angled triangle with the right angle at the bottom left; the base of the triangle is labelled 5 cm and the length of the prism is labelled 25 cm.

    The cross section of the prism is a right-angled triangle.
    The base of the triangle has length 5 cm

    The prism has length 25 cm
    The prism has volume 750 cm³

    Work out the height of the prism.

    (3 marks)

  26. Question 26 (4 marks)

    The diagram shows a cube with edges of length x cm and a sphere of radius 3 cm.

    Cube

    Diagram: A cube. One edge is labelled x cm.

    Sphere

    Diagram: A sphere with its centre marked. A radius from the centre is labelled 3 cm.

    Surface area of sphere = 4π r²

    The surface area of the cube is equal to the surface area of the sphere.

    Show that x = √(kπ) where k is an integer.

    (4 marks)

  27. Question 27 (2 marks)

    Freddie measured the length of a pencil as 7.2 cm correct to 1 decimal place.

    Complete the error interval for the length, p cm, of the pencil.

    ……… ≤ p < ………

    (2 marks)

  28. Question 28 (2 marks)

    The equation of a straight line L is y = 3 – 4x

    (i)

    Write down the gradient of L.

    (1 mark)

    (ii)

    Write down the coordinates of the point where L crosses the y-axis.

    (1 mark)

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

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