Edexcel GCSE Foundation June 2024 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.
Question 1 (1 mark)
Write the number 18 475 correct to the nearest thousand.
(1 mark)
Question 2 (1 mark)
Write 0.3 as a percentage.
(1 mark)
Question 3 (1 mark)
Write down the mathematical name for the type of angle marked y.
Diagram: Two straight lines meeting at a point, with the angle y marked going the long way round.
(1 mark)
Question 4 (1 mark)
Write these numbers in order of size.
Start with the smallest number.0.21 0.2 0.03 0.1 0.16
(1 mark)
Question 5 (1 mark)
Find the square root of 64
(1 mark)
Question 6 (4 marks)
Ryan buys
4 cakes at £1.30 each
2 identical tins of soup.Ryan pays with a £10 note.
He gets £1.80 change.How much does Ryan pay for each tin of soup?
(4 marks)
Question 7 (4 marks)
The table shows the number of hours that Lena and Pavel worked on each of four days last week.
Wednesday Thursday Friday Saturday Lena 6 9 8 6 Pavel 7 6 5 6 On the grid, draw a suitable diagram or chart for this information.
Diagram: A blank squared grid, 13 squares wide and 16 squares tall.
(4 marks)
Question 8 (3 marks)
OA, OB and OC are three straight lines.
Diagram: Three straight lines from the point O with the angles between them marked.
(i)
Work out the size of the angle marked x.
(2 marks)
(ii)
Give a reason for your answer.
(1 mark)
Question 9 (5 marks)
Here is a number machine.
Diagram: Number machine: input, then × 2, then – 10, then output.
(a)
Work out the output when the input is 13
(1 mark)
(b)
Work out the input when the output is 28
(2 marks)
(c)
Show that there is a number for which the output is the same as the input.
(2 marks)
Question 10 (2 marks)
There are 24 cows and 36 sheep on a farm.
Write as a ratio the number of cows to the number of sheep.
Give your ratio in its simplest form.(2 marks)
Question 11 (3 marks)
(a)
Work out -12 ÷ -4
(1 mark)
(b)
Find the value of 2⁵
(1 mark)
(c)
Write one pair of brackets in this calculation so that the answer is correct.
30 ÷ 3 + 2 – 4 = 2
(1 mark)
Question 12 (4 marks)
The diagram shows a triangle and a rectangle.
Diagram: A triangle with sides 30 cm, 14 cm, 36 cm, and a rectangle with width 4 cm and length marked "length".
The perimeter of the rectangle is a quarter of the perimeter of the triangle.
Work out the length of the rectangle.
(4 marks)
Question 13 (3 marks)
There are only £10 notes and £20 notes in a wallet.
Ali takes at random a note from the wallet.(a)
Write down the probability that Ali takes a note with a value of more than £5
(1 mark)
(b)
There are only 1p coins and 2p coins in a bag.
The total value of the coins in the bag is 40p
The total value of the 1p coins is the same as the total value of the 2p coins.Simon takes at random a coin from the bag.
Find the probability that Simon takes a 1p coin.
(2 marks)
Question 14 (3 marks)
Work out 273 × 54
(3 marks)
Question 15 (4 marks)
Tessa recorded the times that 15 adults took to complete a run.
She showed her results in a stem and leaf diagram.Diagram: Stem and leaf diagram. Stem 4, leaves 5 9; Stem 5, leaves 3 7 8; Stem 6, leaves 1 2 4 5 7 7; Stem 7, leaves 2 6 7; Stem 8, leaves 1. Key: 4 | 5 represents 45 minutes.
(a)
Find the median.
(1 mark)
(b)
Find the range.
(2 marks)
(c)
Tessa also recorded the times that 15 children took to complete the run.
For the children, the median was 75 minutes.Compare the times that the adults took with the times that the children took.
(1 mark)
Question 16 (3 marks)
Batteries are sold in packs of 4, in packs of 8 and in packs of 12
Diagram: a pack of 4 batterys costing £1.80; a pack of 8 batterys costing £3.20; a pack of 12 batterys costing £6.00
A pack of 4 batteries costs £1.80
A pack of 8 batteries costs £3.20
A pack of 12 batteries costs £6.00Which pack gives the best value for money?
You must show how you get your answer.(3 marks)
Question 17 (3 marks)
Solve 2(4x – 5) = 18
(3 marks)
Question 18 (1 mark)
Write down the value of 10⁰
(1 mark)
Question 19 (2 marks)
Diagram: A grid from –5 to 5 on both axes. Triangle A has corners (–3, 1), (–3, 3) and (–2, 3). Triangle B has corners (2, –3), (2, –1) and (3, –1).
Describe fully the single transformation that maps triangle A onto triangle B.
(2 marks)
Question 20 (2 marks)
Here are the first four terms of an arithmetic sequence.
1 5 9 13
Find an expression, in terms of n, for the nth term of this sequence.
(2 marks)
Question 21 (3 marks)
(a)
Work out 34/5 – 12/3
(2 marks)
(b)
Kevin was asked to work out 21/3 × 5/8
Here is his working and his answer.
beginaligned 21/3 × 5/8 &= 7/3 × 5/8 \\[4pt] &= 35/24 \\[4pt] &= 19/24 endaligned
Kevin’s answer is wrong.
What mistake has Kevin made?
(1 mark)
Question 22 (5 marks)
The diagram shows a plan of a floor.
Diagram: A plan of a floor made of rectangles.
Petra is going to cover the floor with paint.
Petra has 3 tins of paint.
There are 2.5 litres of paint in each tin.Petra thinks 1 litre of paint will cover 10 m² of floor.
(a)
Assuming Petra is correct, does she have enough paint to cover the floor?
You must show all your working.(4 marks)
(b)
Actually, 1 litre of paint will cover 11 m² of floor.
Does this affect your answer to part (a)?
You must give a reason for your answer.(1 mark)
Question 23 (3 marks)
Here is a Venn diagram.
Diagram: Venn diagram with sets P and Q. Only P: 12, 15. Both: 18. Only Q: 10, 14. Neither: 11, 13, 16, 17.
(a)
Write down the numbers that are in set P’
(1 mark)
(b)
A number is chosen at random from the universal set, ℰ.
Find the probability that this number is in the set P ∪ Q
(2 marks)
Question 24 (4 marks)
Sophie drives a distance of 513 kilometres on a motorway in France.
She pays 0.81 euros for every 10 kilometres she drives.(a)
Work out an estimate for the total amount that Sophie pays.
(3 marks)
(b)
Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.(1 mark)
Question 25 (4 marks)
Here is a straight line L drawn on a grid.
Diagram: A grid with x from –4 to 4 and y from –3 to 7. Line L passes through (–4, –3), (–2, 0), (0, 3) and (2, 6).
(a)
Find an equation for L.
(3 marks)
(b)
M is a different straight line with equation y = 5x
Write down the equation of a straight line parallel to M.
(1 mark)
Question 26 (5 marks)
Kasim has some small jars, some medium jars and some large jars.
He has a total of 400 jars.3/8 of the 400 jars are empty.
For the empty jars,
number of small jars : number of medium jars = 3 : 4
number of medium jars : number of large jars = 1 : 2Work out the percentage of Kasim’s jars that are empty small jars.
(5 marks)
Question 27 (2 marks)
In a sale, normal prices are reduced by 30%
The sale price of a TV is £280
Work out the normal price of the TV.
(2 marks)
Question 28 (3 marks)
Solve x + 11 ≤ 5 – 1/2x
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.