Edexcel GCSE Foundation June 2023 Paper 1 (non-calculator)
31 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 38% as a decimal.
(1 mark)
Question 2 (1 mark)
What fraction of this shape is shaded?
Diagram: A regular decagon split into 10 equal triangles from its centre. 3 of the triangles are shaded.
(1 mark)
Question 3 (1 mark)
Here is a list of numbers.
1.6 1.4 2.1 0.5 1.3
From the list, write down the smallest number.
(1 mark)
Question 4 (1 mark)
Work out -9 + 5
(1 mark)
Question 5 (1 mark)
Solve p – 2 = 3
(1 mark)
Question 6 (1 mark)
Freddie adds labels to this diagram of a circle.
Diagram: A circle with a dot at its centre and a straight line from the centre to the circle. Three labels with arrows: Diameter points to the line, Circumference points to the circle, Centre points to the dot.
Explain why one of the labels is wrong.
(1 mark)
Question 7 (2 marks)
Write down three different factors of 20
(2 marks)
Question 8 (3 marks)
Diagram: Two straight lines meet at a point. The angle between them is 50°. The angle the other way round, outside the lines, is marked x.
(a)
Work out the size of the angle marked x.
(2 marks)
(b)
A student says that an angle of 50° is an obtuse angle.
The student is wrong.Explain why.
(1 mark)
Question 9 (4 marks)
Diagram: A coordinate grid from –6 to 6 on both axes. Point A is marked with a cross and joined by a straight line to point B, also marked with a cross.
(a)
Write down the coordinates of point B.
(1 mark)
(b)
Plot the point with coordinates (4, –2)
Label this point C.(1 mark)
(c)
Write down the coordinates of the midpoint of AB.
(1 mark)
(d)
Draw the line with equation y = -4
(1 mark)
Question 10 (4 marks)
Max sees this special offer in a shop.
Buy one large plate and get one small plate for half the normal price. The normal price of a large plate is £2
The normal price of a small plate is 80pMax wants to buy 6 large plates and 6 small plates using this offer.
He has £15Has Max got enough money?
You must show how you get your answer.(4 marks)
Question 11 (6 marks)
A total of 700 tickets were on sale for a football match.
452 of the tickets were sold.(a)
How many tickets were not sold?
(2 marks)
(b)
For a different football match,
297 tickets were sold for £9.50 each.
399 tickets were sold for £19.50 each.Work out an estimate for the total amount of money paid for these tickets.
You must show all your working.(3 marks)
(c)
Is your answer to part (b) an underestimate or an overestimate?
Give a reason for your answer.(1 mark)
Question 12 (2 marks)
Here are 6 numbers.
13 5 4 9 3 8
Work out the mean.
(2 marks)
Question 13 (4 marks)
(a)
Simplify 15a/3
(1 mark)
(b)
Simplify 19 + 5b + 4c – 7b + c
(2 marks)
(c)
Factorise 8d – 6
(1 mark)
Question 14 (5 marks)
Last week, 73% of the tickets sold at a cinema were adult tickets.
(a)
What percentage of the tickets sold were not adult tickets?
(1 mark)
(b)
Some people watched a film at the cinema.
number of adults : number of children = 2 : 5
What fraction of these people were adults?
(1 mark)
(c)
On Friday, 500 people watched a film at the cinema.
70% of these people were children.On Saturday, 720 people watched the film at the cinema.
5/8 of these people were children.Kasim thinks more children watched the film on Friday than on Saturday.
Is Kasim correct?
You must show how you get your answer.(3 marks)
Question 15 (2 marks)
Work out 6/7 × 5/12
Give your answer as a fraction in its simplest form.(2 marks)
Question 16 (2 marks)
Here is the list of ingredients for making 20 biscuits.
Ingredients for 20 biscuits 150 g butter 100 g sugar 250 g flour Harry wants to make 60 biscuits.
How much flour does Harry need?
(2 marks)
Question 17 (4 marks)
There are 200 counters in a bag.
38 counters are red.
52 counters are blue.
The rest of the counters are yellow or green.
There are the same number of yellow counters as green counters.What percentage of the counters in the bag are yellow?
(4 marks)
Question 18 (3 marks)
Naomi has b bags of apples and c crates of apples.
There are 5 apples in each bag.
There are 28 apples in each crate.
Naomi has a total of T apples.Write a formula for T in terms of b and c.
(3 marks)
Question 19 (2 marks)
Here are the first five terms of an arithmetic sequence.
–5 3 11 19 27
Find an expression, in terms of n, for the nth term of this sequence.
(2 marks)
Question 20 (3 marks)
Work out 8.46 ÷ 0.15
(3 marks)
Question 21 (3 marks)
Work out 73/8 – 21/2
Give your answer as a mixed number.(3 marks)
Question 22 (4 marks)
A cube has a total surface area of 150 cm²
Work out the volume of the cube.
(4 marks)
Question 23 (2 marks)
The table shows information about the daily rainfall in a town for 60 days.
Rainfall (R mm) Frequency 0 ≤ R < 5 8 5 ≤ R < 10 24 10 ≤ R < 15 13 15 ≤ R < 20 11 20 ≤ R < 25 4 Draw a frequency polygon for this information.
Diagram: A blank grid. Rainfall (R mm) from 0 to 25 across, frequency from 0 to 30 up.
(2 marks)
Question 24 (5 marks)
ℰ = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {odd numbers}
B = {square numbers}(a)
Complete the Venn diagram for this information.
Diagram: Venn diagram with sets A and B. Only A: . Both: . Only B: . Neither: .
(3 marks)
(b)
A number is chosen at random from the universal set ℰ
Find the probability that this number is in the set B’
(2 marks)
Question 25 (3 marks)
The scatter graph shows information about the ages and weights of some babies.
Diagram: A scatter graph of weight (kg) against age (months) for 25 babies. The crosses go up from bottom left to top right.
(a)
Describe the relationship between the age and the weight of the babies.
(1 mark)
(b)
Another baby has a weight of 5.8 kg
Using the scatter graph, find an estimate for the age of this baby.
(2 marks)
Question 26 (2 marks)
The price of a holiday increases by 20%
This 20% increase adds £240 to the price of the holiday.Work out the price of the holiday before the increase.
(2 marks)
Question 27 (3 marks)
The diagram shows a solid cylinder on a horizontal floor.
Diagram: A tall thin cylinder standing upright on a floor, with its height labelled 40 cm.
pressure = dfracforcearea The cylinder has a
volume of 1200 cm³
height of 40 cm.The cylinder exerts a force of 90 newtons on the floor.
Work out the pressure on the floor due to the cylinder.
(3 marks)
Question 28 (1 mark)
Diagram: Two straight lines on a grid, x from –5 to 15 and y from –15 to 5. The line 2y = 3x – 22 slopes up steeply; the line 2 – 2y = x slopes down gently. They cross once.
Use these graphs to solve the simultaneous equations
2 – 2y = x
2y = 3x – 22(1 mark)
Question 29 (2 marks)
Work out the value of dfrac4⁻⁶ × 4⁹ 4
(2 marks)
Question 30 (1 mark)
Write down the exact value of cos 60°
(1 mark)
Question 31 (2 marks)
The probability tree diagram shows the probabilities that Shayla will work at home or
will work at the office on two days next week.Diagram: Probability tree diagram: Monday then Friday.
Work out the probability that Shayla will work at home on Monday and work at the
office on Friday.(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.