Edexcel GCSE Foundation June 2023 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 6184 correct to the nearest hundred.
(1 mark)
Question 2 (1 mark)
Write 0.7 as a fraction.
(1 mark)
Question 3 (1 mark)
Change 9 metres into centimetres.
(1 mark)
Question 4 (1 mark)
Simplify 3 × 4t
(1 mark)
Question 5 (1 mark)
Here is a list of numbers.
20 40 60 80 100
One of these numbers is a multiple of 25
Which number?(1 mark)
Question 6 (2 marks)
Shari has a fair ordinary dice.
She rolls the dice once.
(a)
On the probability scale, mark with a cross (×) the probability that Shari gets
the number 7Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
(b)
On the probability scale, mark with a cross (×) the probability that Shari gets
an even number.Diagram: A probability scale from 0 to 1, marked at 0, one half and 1.
(1 mark)
Question 7 (3 marks)
Here is a triangle.
The triangle is accurately drawn.Diagram: Triangle ABC, accurately drawn, with AC along the bottom.
(a)
Measure the length of AC.
(1 mark)
(b)
Measure the size of angle B.
(1 mark)
(c)
Here is a different triangle.
Diagram: Triangle PQR with Q at the top.
QP = QR
Write down the mathematical name of this triangle.
(1 mark)
Question 8 (3 marks)
The diagram shows three motorway service stations P, Q and R on a map.
Diagram: P, Q and R on a straight line: 8 cm from P to Q, 16 cm from Q to R.
The map has a scale of 1 cm = 4 km.
Work out the real distance from P to R.
(3 marks)
Question 9 (3 marks)
Here are the first five terms of a sequence.
3 8 13 18 23
(a)
Write down the next term of this sequence.
(1 mark)
(b)
Write down the ratio of the second term to the fourth term.
Give your ratio in its simplest form.(2 marks)
Question 10 (4 marks)
This graph can be used to find the cost of parking a car in a car park for up to 12 hours.
Diagram: A straight-line graph of cost in pounds against number of hours, from (0, 0) to (12, 18).
(a)
Use the graph to find the cost of parking a car for 4 hours.
(1 mark)
(b)
Justin drives into the car park at 08 00 in the morning.
When he drives out of the car park he has to pay £9At what time does Justin drive out of the car park?
(3 marks)
Question 11 (3 marks)
The table shows information about the weights of the people in a hotel lift.
Weight Number of people 40 kg 1 50 kg 2 60 kg 4 70 kg 5 80 kg 3 90 kg 1 Show that the total weight of the people in the lift is less than 1200 kg.
(3 marks)
Question 12 (2 marks)
(a)
Shape A is reflected in a mirror line to give shape B.
Diagram: Two triangles A and B on a square grid.
On the grid, draw the mirror line.
(1 mark)
(b)
Alex is asked to reflect shape P in the x-axis.
Here is the diagram Alex draws.Diagram: Shape P above the x-axis on the right, and Alex’s shape above the x-axis on the left.
Explain the mistake Alex has made.
(1 mark)
Question 13 (2 marks)
There are 50 teachers in a school.
This is 1/16 of the total number of people in the school.Work out the total number of people in the school.
(2 marks)
Question 14 (4 marks)
Packets of sweets are put into boxes.
Diagram: A packet, a cuboid 80 mm by 60 mm by 20 mm, and a box, a cuboid 72 cm by 48 cm by 24 cm.
Each packet is a cuboid, 80 mm by 60 mm by 20 mm.
Each box is a cuboid, 72 cm by 48 cm by 24 cm.Work out the greatest number of packets that can be put into each box.
(4 marks)
Question 15 (3 marks)
Here is a fair ordinary dice and a fair 8-sided spinner.
Diagram: An ordinary dice, and a regular 8-sided spinner numbered 2, 1, 8, 7, 6, 5, 4, 3 clockwise from the top.
Charlie throws the dice once and spins the spinner once.
Is Charlie more likely to get
a number less than 3 on the dice
or a number greater than 5 on the spinner?You must show all your working.
(3 marks)
Question 16 (3 marks)
Paulo drives at an average speed of 56 km/h for 1 hour 45 minutes.
Work out the distance Paulo drives.
(3 marks)
Question 17 (4 marks)
There are 3 cinemas A, B and C.
The mean number of seats per cinema is 380There are 350 seats in cinema A.
There are 250 seats in cinema B.Work out the number of seats in cinema C.
(4 marks)
Question 18 (6 marks)
Asha buys 180 cans of cola.
The cans are sold in packs.
There are 12 cans in each pack.
Each pack costs £3(a)
Work out the total cost of the cola Asha buys.
(3 marks)
(b)
Ethan buys a box of 24 cans of lemonade for £7
There are 330 ml of lemonade in each can.Work out the cost of 100 ml of lemonade.
Give your answer correct to the nearest penny.(3 marks)
Question 19 (5 marks)
240 people work at a factory.
Of these people
150 have a car
110 have a bicycle
65 of the people who have a bicycle do not have a car.(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 240 at the start, branching into have a car and do not have a car, then each branching into have a bicycle and do not have a bicycle.
(3 marks)
(b)
What percentage of the 150 people who have a car also have a bicycle?
(2 marks)
Question 20 (3 marks)
(a)
Work out the value of dfrac25 – √43.876 + 2.1²
Write down all the figures on your calculator display.
(2 marks)
(b)
Work out the value of the reciprocal of 0.625
(1 mark)
Question 21 (2 marks)
Write 60 as a product of its prime factors.
(2 marks)
Question 22 (1 mark)
There are 48 counters in a bag.
There are only red counters and blue counters in the bag.number of red counters : number of blue counters = 1 : 2
Helen has to work out how many red counters are in the bag.
She says,“There are 24 red counters in the bag because 1 is half of 2 and 24 is half of 48”
Is Helen correct?
You must give a reason for your answer.(1 mark)
Question 23 (6 marks)
-2 ≤ n < 5
n is an integer.
(a)
Write down the greatest possible value of n.
(1 mark)
(b)
On the number line below, show the inequality -4 ≤ m < 1
Diagram: A number line for m from -6 to 6.
(2 marks)
(c)
Solve 2/5g – 4 < 6
(3 marks)
Question 24 (4 marks)
Here is a triangle and a rectangle.
Diagram: A right-angled triangle with base 8 and height 6x, and a rectangle 5 wide and 4x – 1 tall.
All measurements are in centimetres.
The area of the triangle is 10 cm² greater than the area of the rectangle.
Work out the value of x.
(4 marks)
Question 25 (3 marks)
Last year a family recycled 800 kg of household waste.
57% of this waste was paper and glass.weight of paper recycled : weight of glass recycled = 12 : 7
Calculate the weight of glass the family recycled.
(3 marks)
Question 26 (2 marks)
A number, d, is rounded to 1 decimal place.
The result is 12.7Complete the error interval for d.
……… ≤ d < ………
(2 marks)
Question 27 (4 marks)
Tamsin buys a house with a value of £150 000
The value of Tamsin’s house increases by 4% each year.Rachel buys a house with a value of £160 000
The value of Rachel’s house increases by 1.5% each year.At the end of 2 years, whose house has the greater value?
You must show how you get your answer.(4 marks)
Question 28 (3 marks)
Here are five graphs.
A
Diagram: Graph A: a straight line sloping down, crossing the y-axis above O.
B
Diagram: Graph B: a U-shaped curve through O, dipping below the x-axis to the right of O.
C
Diagram: Graph C: two curves, top right and bottom left, never touching the axes.
D
Diagram: Graph D: a straight line sloping up, crossing the y-axis above O.
E
Diagram: Graph E: an S-shaped cubic curve rising from bottom left to top right, crossing the y-axis below O.
The table shows the equations of these graphs.
Equation Graph y = x² – 4x y = x + 3 y = x³ – 2 y = 1/x y = 5 – 2x Match the letter of each graph with its equation.
(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.