Edexcel GCSE Foundation June 2022 Paper 2 (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 1476 to the nearest 10
(1 mark)
Question 2 (1 mark)
Write a fraction in the box to make the calculation correct.
1 – 3/10 = square
(1 mark)
Question 3 (1 mark)
Here is a list of numbers.
3 3 3 3 4 4 5 7 8
Write down the mode of the numbers.
(1 mark)
Question 4 (1 mark)
Write down a 3 digit number that is a multiple of 5
(1 mark)
Question 5 (1 mark)
Write 0.4 as a percentage.
(1 mark)
Question 6 (1 mark)
Write the following numbers in order of size.
Start with the smallest number.–11 –2 8 –7 3 10
(1 mark)
Question 7 (3 marks)
Here is polygon ABCDEF on a square grid.
Diagram: A shaded hexagon ABCDEF on a square grid. AF is along the bottom, AB and FE go straight up, BC and ED slope in, and CD is along the top.
(a)
Write down the mathematical name of the polygon.
(1 mark)
(b)
Which side of the polygon is parallel to the side CD?
(1 mark)
(c)
Write down a side of the polygon that is perpendicular to the side AF.
(1 mark)
Question 8 (4 marks)
Here is a centimetre grid.
Diagram: A graph.
(a)
Write down the coordinates of point A.
(1 mark)
(b)
On the grid, mark with a cross (×) the point with coordinates (-4, 3)
Label this point B.(1 mark)
(c)
On the grid, draw the circle with
centre (1, -1)
and radius 4 cm.(2 marks)
Question 9 (3 marks)
The graph shows information about the number of houses sold by an estate agent in
each of six months last year.Diagram: A line graph of the number of houses sold each month, January to June, on a scale from 0 to 60 with a grid line every 2 houses. The crosses are joined with straight lines.
(a)
How many houses were sold by the estate agent in February?
(1 mark)
(b)
For this estate agent, write down the ratio of the number of houses sold in January to
the number of houses sold in June.(2 marks)
Question 10 (3 marks)
Sonia wants to book a holiday.
The holiday will cost £1428Sonia will pay a deposit of £150
She will then pay the rest of the cost in 6 equal monthly payments.How much is each monthly payment?
(3 marks)
Question 11 (3 marks)
The diagram shows a triangle ABC.
Diagram: Triangle ABC with angle A 116° and angle B 25°. BC is extended to E and AC is extended to D, so the lines cross at C. The angle x is between CE and CD.
ACD and BCE are straight lines.
Work out the size of the angle marked x.
Give a reason for each stage of your working.(3 marks)
Question 12 (3 marks)
Here is a number machine.
Diagram: Number machine: input, then ÷ 7, then + 5, then output.
(a)
Work out the output when the input is 28
(1 mark)
(b)
Here is a different number machine.
The number machine is not complete.Diagram: Number machine: input, then + ……, then × 11, then output.
When the input is 8, the output is 154
Complete the number machine.
(2 marks)
Question 13 (3 marks)
Sophie works in a bed shop.
During the last three months she sold 198 beds.59 beds were sold without a mattress.
45 beds were double beds.
17 of the single beds were sold without a mattress.
67 of the 83 king size beds were sold with a mattress.With Without Total Single Double King size Total Use this information to complete the two-way table.
(3 marks)
Question 14 (2 marks)
The box below contains three mathematical symbols.
= < > From the box, choose a symbol to make each of the following statements correct.
(i)
5/8 ……… 2/8
(1 mark)
(ii)
-2 × -3 ……… -3 + 9
(1 mark)
Question 15 (4 marks)
The table shows information about the number of social media accounts used by each of
300 students.Number of social media accounts Frequency 0 3 1 57 2 84 3 75 4 81 (a)
Work out the total number of social media accounts used by these students.
(2 marks)
(b)
Find the median number of social media accounts used by these students.
(2 marks)
Question 16 (3 marks)
On a scale drawing, a building has length 12.4 cm and width 9.4 cm.
The real length of the building is 62 metres.Work out, in metres, the real width of the building.
(3 marks)
Question 17 (3 marks)
On the grid below, draw the graph of y = 4 – x for values of x from –2 to 4
Diagram: A graph.
(3 marks)
Question 18 (3 marks)
This sign was in a doctor’s waiting room.
115 appointments were missed last month. These missed appointments were a total of 25.3 hours. Work out the mean length of time for each missed appointment.
Give your answer in minutes.(3 marks)
Question 19 (5 marks)
Nimra buys a 3 kg box of sweets for £17.60
She puts the sweets into bags to sell.
Each bag contains 150 g of sweets.
Nimra fills as many bags as possible.She will sell each bag for the same price.
Nimra wants to make a profit of at least 35%Assuming she sells all the bags,
what is the lowest price Nimra should charge for each bag?(5 marks)
Question 20 (4 marks)
Lorena gets a train at the same time each morning to go to work.
She gets a train at the same time each evening to come home.The probability tree diagram shows the probabilities of each train arriving late.
(a)
Complete the probability tree diagram.
Diagram: Probability tree diagram: Train to work then Train home.
(2 marks)
(b)
For a day that Lorena goes to work,
work out the probability that the train to work and the train home will both arrive late.
(2 marks)
Question 21 (5 marks)
(a)
Simplify (x³)⁵
(1 mark)
(b)
Expand and simplify 4(x + 3) + 7(4 – 2x)
(2 marks)
(c)
Factorise fully 15x³ + 3x²y
(2 marks)
Question 22 (2 marks)
Diagram: Two shaded L-shapes on a coordinate grid: shape S below the x-axis on the right, and shape T above the x-axis on the left, the same way up.
Describe fully the single transformation that maps shape S onto shape T.
(2 marks)
Question 23 (2 marks)
The length of a football pitch is 90 metres, correct to the nearest metre.
Complete the error interval for the length of the football pitch.
……… m ≤ length < ……… m
(2 marks)
Question 24 (5 marks)
Festival A will be in a rectangular field with an area of 80 000 m²
The greatest number of people allowed to attend Festival A is 425Festival B will be in a rectangular field 700 m by 2000 m.
The greatest number of people allowed to attend Festival B is 6750The area per person allowed for Festival B is greater than the area per person allowed
for Festival A.(a)
How much greater?
Give your answer correct to the nearest whole number.(4 marks)
(b)
Callum says,
“300 cm² is the same as 3 m² because there are 100 cm in 1 m so you divide by 100”
Callum’s method is wrong.
Explain why.
(1 mark)
Question 25 (4 marks)
The points L, M and N are such that LMN is a straight line.
The coordinates of L are (–3, 1)
The coordinates of M are (4, 9)Given that LM : MN = 2 : 3,
find the coordinates of N.
(4 marks)
Question 26 (3 marks)
A new phone cost £679
The value of the phone decreases at a rate of 4% per year.Work out the value of the phone at the end of 3 years.
(3 marks)
Question 27 (4 marks)
In Spain, Sam pays 27 euros for 18 litres of petrol.
In Wales, Leo pays £40.80 for 8 gallons of the same type of petrol.1 euro = £0.85
4.5 litres = 1 gallonSam thinks that petrol is cheaper in Spain than in Wales.
Is Sam correct?
You must show how you get your answer.(4 marks)
Question 28 (3 marks)
Solve the simultaneous equations
5x + 2y = 27
6x + 4y = 28(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.