Edexcel GCSE Foundation June 2022 Paper 1 (non-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)
Change 40 centimetres into millimetres.
(1 mark)
Question 2 (1 mark)
Simplify e + e + e + e
(1 mark)
Question 3 (1 mark)
On the grid, reflect the shaded triangle in the mirror line.
Diagram: A squared grid, 8 squares wide and 7 squares tall, with a vertical dashed mirror line down the middle. A shaded triangle to the right of the line has its vertical side, 3 squares long, on the mirror line and its point 3 squares to the right of the line.
(1 mark)
Question 4 (1 mark)
Write down the value of the 6 in the number 16 007
(1 mark)
Question 5 (1 mark)
Write these numbers in order of size.
Start with the smallest number.1/2 0.55 45%
(1 mark)
Question 6 (1 mark)
The pictogram gives information about the number of hours of sunshine on a Saturday
and on a Sunday.Diagram: Pictogram. Key: one circle represents 2 hours of sunshine. Saturday: 4 circles. Sunday: 2 circles.
Work out the number of hours of sunshine on Saturday.
(1 mark)
Question 7 (3 marks)
Simon buys some candles.
Each candle costs £2
Simon pays with a £20 note.
He gets £6 change.Work out the number of candles Simon buys.
(3 marks)
Question 8 (3 marks)
The bar chart shows information about the total rainfall each month for four months
in a city.Diagram: A bar chart of month against total rainfall (cm), with grid lines every 5 up to 45. Jan: a bar to 12. Feb: a bar to 17.5. Mar: a bar to 32. Apr: a bar to 40. May: no bar. June: no bar.
(a)
In May, the total rainfall was 35 cm.
In June, the total rainfall was 20 cm.Use this information to complete the bar chart.
(2 marks)
(b)
Rupa says,
“In February there was 15.5 cm of rainfall because the bar is half a square above 15”
Explain why Rupa is incorrect.
(1 mark)
Question 9 (2 marks)
Here is a sequence of patterns made from grey square tiles.
Pattern number 1
Diagram: Pattern number 1: a single grey square.
Pattern number 2
Diagram: Pattern number 2: an L shape, a row of 2 grey squares with a column of 2 squares going down from its left end.
Pattern number 3
Diagram: Pattern number 3: an L shape, a row of 3 grey squares with a column of 3 squares going down from its left end.
Pattern number 4
Diagram: Pattern number 4: an L shape, a row of 4 grey squares with a column of 4 squares going down from its left end.
(a)
On the grid below, draw Pattern number 5
Diagram: A blank squared grid, 8 squares by 8 squares.
(1 mark)
(b)
Complete the table.
Pattern number Number of squares 1 1 2 3 3 5 4 7 5 6 (1 mark)
Question 10 (2 marks)
In Norway last year, the lowest temperature was -15°C.
In Norway last year, the highest temperature was 42°C greater than the lowest temperature.
Work out the highest temperature in Norway last year.
(2 marks)
Question 11 (4 marks)
At the end of October, Fiona’s electricity meter reads 88 738 kWh.
At the end of November, her electricity meter reads 89 198 kWh.Each kWh of electricity Fiona uses costs 16p
Work out how much Fiona had to pay for the electricity she used in November.
(4 marks)
Question 12 (4 marks)
(a)
Work out 5/12 + 1/6
(2 marks)
(b)
Work out 3/10 × 5/8
Give your answer as a fraction in its simplest form.(2 marks)
Question 13 (2 marks)
(a)
There are 15 sweets in a jar.
4 of the sweets are red.
Jill takes at random a sweet from the jar.Write down the probability that the sweet is red.
(1 mark)
(b)
There are only green counters and blue counters in a bag.
A counter is taken at random from the bag.
The probability that the counter is green is 0.3Find the probability that the counter is blue.
(1 mark)
Question 14 (2 marks)
y = 6x – 5
Work out the value of y when x = 4
(2 marks)
Question 15 (3 marks)
(a)
Work out an estimate for the value of 92 × 1.63
You must show all your working.(2 marks)
(b)
Given that
2.96 × 3.2 = 9.472
find the value of 29.6 × 32
(1 mark)
Question 16 (4 marks)
Savio leaves his home at 07 30 to drive to work.
He drives a distance of 50 miles.Savio thinks he drives at an average speed of 40 miles per hour.
(a)
If Savio is correct, at what time will he arrive at work?
(3 marks)
(b)
In fact, Savio’s average speed was greater than 40 miles per hour.
How does this affect your answer to part (a)?
(1 mark)
Question 17 (5 marks)
72 people did a test.
20 of the 32 adults who did the test passed.
6 of the children who did the test failed.(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: a blank circle at the start, branching into adult and child, then each branching into passed and failed.
(3 marks)
(b)
One of these people is picked at random.
Find the probability that this person is an adult who failed the test.
(2 marks)
Question 18 (2 marks)
Here is a list of ingredients for making 10 scones.
Ingredients for 10 scones 75 g butter 350 g self-raising flour 40 g sugar 150 ml milk 2 eggs Mia wants to make 25 scones.
Work out how much sugar she needs.
(2 marks)
Question 19 (3 marks)
Increase 240 by 20%
(3 marks)
Question 20 (3 marks)
The diagram shows three identical rectangles A, B and C.
Diagram: Three identical rectangles A, B and C in a row. Rectangle A is shaded from the bottom up to a line; a dashed line carries that line across to rectangle B. Rectangle C is shaded from the top down to a line; a dashed line carries that line across to rectangle B. Rectangle B is shaded between the two lines.
5/8 of rectangle A is shaded.
9/11 of rectangle C is shaded.
Work out the fraction of rectangle B that is shaded.
(3 marks)
Question 21 (3 marks)
Here are the ages, in years, of 15 people.
19 28 29 33 27
27 37 25 27 37
17 45 47 25 26Show this information in a stem and leaf diagram.
Diagram: An empty stem and leaf frame with four rows, and an empty box headed Key.
(3 marks)
Question 22 (3 marks)
The centimetre grid shows the plan and the front elevation of a cylinder.
Plan
Diagram: The plan on a centimetre grid: a circle 6 squares across.
Front elevation
Diagram: The front elevation on a centimetre grid: a rectangle 6 squares wide and 5 squares tall.
Work out the volume of the cylinder.
Give your answer in terms of π(3 marks)
Question 23 (2 marks)
Solve 7x – 27 < 8
(2 marks)
Question 24 (2 marks)
Write 124 as a product of its prime factors.
(2 marks)
Question 25 (5 marks)
A delivery company has a total of 160 cars and vans.
the number of cars : the number of vans = 3 : 7
Each car and each van uses electricity or diesel or petrol.
1/8 of the cars use electricity.
25% of the cars use diesel.
The rest of the cars use petrol.Work out the number of cars that use petrol.
You must show all your working.(5 marks)
Question 26 (4 marks)
(a)
Write 1.63 × 10⁻³ as an ordinary number.
(1 mark)
(b)
Write 438 000 in standard form.
(1 mark)
(c)
Work out (4 × 10³) × (6 × 10⁻⁵)
Give your answer in standard form.(2 marks)
Question 27 (3 marks)
Here is a regular hexagon and a regular pentagon.
Diagram: A regular hexagon and a regular pentagon joined along one side. At the bottom end of the shared side, the angle between the hexagon and the pentagon, outside both shapes, is marked x.
Work out the size of the angle marked x.
You must show all your working.(3 marks)
Question 28 (6 marks)
(a)
Complete the table of values for y = x² – 3x + 1
x –1 0 1 2 3 4 y 1 –1 (2 marks)
(b)
On the grid, draw the graph of y = x² – 3x + 1 for values of x from –1 to 4
Diagram: A graph.
(2 marks)
(c)
Using your graph, find estimates for the solutions of the equation x² – 3x + 1 = 0
(2 marks)
Question 29 (3 marks)
Here are two cubes, A and B.
Diagram: Two cubes: cube A with edges of 3 cm and cube B with edges of 4 cm.
Cube A has a mass of 81 g.
Cube B has a mass of 128 g.
Work out
the density of cube A : the density of cube B
Give your answer in the form a : b, where a and b are integers.
(3 marks)
Question 30 (1 mark)
Write down the value of sin 30°
(1 mark)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.