Edexcel GCSE Foundation June 2022 Paper 3 (calculator)
30 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 35% as a fraction.
(1 mark)
Question 2 (1 mark)
Work out 1/4 of 28
(1 mark)
Question 3 (1 mark)
Write down two factors of 12
(1 mark)
Question 4 (1 mark)
Simplify 2m × 3
(1 mark)
Question 5 (1 mark)
Find √1.69
(1 mark)
Question 6 (2 marks)
Diagram: A blank grid of squares, 10 squares across and 6 squares up.
On the grid, draw a quadrilateral with
no lines of symmetry
and rotational symmetry of order 2(2 marks)
Question 7 (3 marks)
The table shows the total number of apples sold and the total number of oranges sold in
a shop in each of three weeks.Week 1 Week 2 Week 3 Number of apples 86 75 92 Number of oranges 68 80 76 In total for the three weeks, more apples than oranges were sold.
How many more?
(3 marks)
Question 8 (2 marks)
Here are the first five terms of a number sequence.
3 8 13 18 23
(a)
Write down the next two terms of this sequence.
(1 mark)
(b)
Jim says that 50 is a term in this sequence.
Jim is wrong.Explain why.
(1 mark)
Question 9 (2 marks)
The diagram shows a solid triangular prism.
Diagram: A solid triangular prism lying on one of its rectangular faces, with its hidden edges dashed.
(a)
Write down the number of faces of the prism.
(1 mark)
(b)
Write down the number of edges of the prism.
(1 mark)
Question 10 (4 marks)
Here is a list of 8 numbers.
2 2 3 5 6 6 8 9
Kim picks at random one of these numbers.
(a)
On the probability scale below, mark with a cross (×) the probability that
Kim picks a number 7Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(b)
On the probability scale below, mark with a cross (×) the probability that
Kim picks a number greater than 5Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(c)
Find the probability that Kim picks an even number.
(2 marks)
Question 11 (3 marks)
Sinita wants to make 35 picture frames.
She needs 4 nails for each frame.Sinita has 3 boxes of nails.
There are 48 nails in each box.Has Sinita got enough nails to make all 35 frames?
Show how you get your answer.(3 marks)
Question 12 (2 marks)
Write 60 metres as a fraction of 1000 metres.
Give your answer in its simplest form.(2 marks)
Question 13 (4 marks)
The accurately drawn map shows the positions of three points, A, B and C, in a field.
Diagram: An accurately drawn map of a field with three points A, B and C marked by crosses. North lines point straight up from A and from C. B is below and between A and C.
Scale: 1 cm represents 150 metres
(a)
Parveen walks in a straight line from A to B.
She then walks in a straight line from B to C.Susan walks in a straight line from A to C.
Parveen walks more metres than Susan.
How many more?
(3 marks)
(b)
Find by measurement the bearing of A from C.
(1 mark)
Question 14 (4 marks)
Here is the shoe size of each of 12 boys in a class.
4 5 6 6 6 7 7 8 8 8 8 9
(a)
Find the median.
(1 mark)
(b)
Work out the range.
(1 mark)
(c)
For the shoe sizes of each of 12 girls in the class,
the median size is 6
the range is 3Compare the distribution of the shoe sizes of the boys with the distribution of the
shoe sizes of the girls.(2 marks)
Question 15 (2 marks)
Work out (2.75 × 14.6)/(10 – 1.97)
(2 marks)
Question 16 (2 marks)
On the centimetre grid, draw an isosceles triangle with an area of 12 cm²
Diagram: A blank centimetre grid, 10 squares across and 10 squares up.
(2 marks)
Question 17 (4 marks)
(a)
Expand 3(4 – 2x)
(1 mark)
(b)
Solve 3y/4 = 12
(2 marks)
(c)
Factorise 4p + 6
(1 mark)
Question 18 (2 marks)
(a)
Write 2530 correct to 2 significant figures.
(1 mark)
(b)
Write 0.0874 correct to 1 significant figure.
(1 mark)
Question 19 (4 marks)
There are 400 counters in a box.
The counters are red or yellow or green.3/8 of the counters are red.
82 of the counters are yellow.What percentage of the counters are green?
(4 marks)
Question 20 (5 marks)
In the diagram, PQR is an isosceles triangle with PQ = PR.
Diagram: Isosceles triangle PQR with PQ = PR (marked with dashes), apex P at the top. Line APR goes up beyond P to A, and line BPQ goes up beyond P to B. The angle APB between them, above P, is 56°. Line CQD passes through Q, parallel to APR (marked with arrows).
APR and CQD are parallel lines.
BPQ is a straight line.Angle APB = 56°
Work out the size of angle CQR.
Give a reason for each stage of your working.(5 marks)
Question 21 (2 marks)
Work out the lowest common multiple (LCM) of 24 and 56
(2 marks)
Question 22 (2 marks)
Here is a right-angled triangle.
Diagram: A right-angled triangle. The vertical side is 4 cm, the horizontal side is x cm and the sloping side (the hypotenuse) is 8.5 cm.
Work out the value of x.
(2 marks)
Question 23 (4 marks)
T = 4m² – 11
(a)
Work out the value of T when m = -3
(2 marks)
(b)
Make p the subject of the formula d = 3p + 4
(2 marks)
Question 24 (5 marks)
Rick, Selma and Tony are playing a game with counters.
Rick has some counters.
Selma has twice as many counters as Rick.
Tony has 6 counters less than Selma.In total they have 54 counters.
the number of counters Rick has : the number of counters Tony has = 1 : p
Work out the value of p.
(5 marks)
Question 25 (4 marks)
Jo is going to buy 15 rolls of wallpaper.
Here is some information about the cost of rolls of wallpaper from each of two shops.
Chic Decor 3 rolls for £36 Style Papers Pack of 5 rolls normal price £70 12% off the normal price Jo wants to buy the 15 rolls of wallpaper as cheaply as possible.
Should Jo buy the wallpaper from Chic Decor or from Style Papers?
You must show how you get your answer.(4 marks)
Question 26 (2 marks)
The table gives information about the lengths, in cm, of some pieces of string.
Length (t cm) Frequency 0 < t ≤ 10 15 10 < t ≤ 20 20 20 < t ≤ 30 50 30 < t ≤ 40 25 40 < t ≤ 50 5 Amos draws a frequency polygon for the information in the table.
Diagram: A frequency polygon titled Lengths of pieces of string. The frequency axis is labelled 0, 10, 20, 30, 50, 60, evenly spaced. The points plotted are (5, 15), (15, 20), (25, 50), (35, 25), (50, 5), joined with straight lines.
Write down two mistakes that Amos has made.
(2 marks)
Question 27 (4 marks)
Jessica runs for 15 minutes at an average speed of 6 miles per hour.
She then runs for 40 minutes at an average speed of 9 miles per hour.It takes Amy 45 minutes to run the same total distance that Jessica runs.
Work out Amy’s average speed.
Give your answer in miles per hour.(4 marks)
Question 28 (3 marks)
The diagram shows rectangle STUV.
TQU and SRV are straight lines.
All measurements are in cm.Diagram: Rectangle STUV with T top left, U top right, V bottom right and S bottom left. Q is on TU and R is on SV, and the trapezium QUVR is shaded. TQ = 2x, ST = 4x, SR = 3x and RV = 5.
The area of trapezium QUVR is A cm²
Show that A = 2x² + 20x
(3 marks)
Question 29 (2 marks)
Change 30 metres per second to kilometres per hour.
(2 marks)
Question 30 (2 marks)
The value of Michelle’s car has decreased by 15%
The car now has a value of £13 600Work out the value of Michelle’s car before the decrease.
(2 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.