Edexcel GCSE Foundation June 2023 Paper 3 (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 the number three thousand one hundred and seven in figures.
(1 mark)
Question 2 (1 mark)
Write 3/10 as a percentage.
(1 mark)
Question 3 (1 mark)
Simplify m + m + m + m
(1 mark)
Question 4 (1 mark)
Change 4000 grams into kilograms.
(1 mark)
Question 5 (1 mark)
7 –5 3 9 –2
Write these numbers in order of size.
Start with the smallest number.
(1 mark)
Question 6 (2 marks)
The diagram shows a shape on a centimetre grid.
Diagram: A graph.
(a)
Find the area of the shape.
(1 mark)
(b)
Find the perimeter of the shape.
(1 mark)
Question 7 (3 marks)
Here is a 4-sided spinner.
Diagram: A square spinner divided into four equal triangles numbered 1, 2, 2 and 3.
Samina spins the spinner once.
(a)
Choose the word that best describes the probability that the spinner lands on 2
impossible unlikely evens likely certain
(1 mark)
(b)
Choose the word that best describes the probability that the spinner lands on a number less than 4
impossible unlikely evens likely certain
(1 mark)
(c)
Ralph rolls a biased dice once.
The probability that he gets the number 5 is 0.4
Work out the probability that Ralph does not get the number 5
(1 mark)
Question 8 (2 marks)
(a)
A quadrilateral has 4 right angles and 4 sides of equal length.
Write down the mathematical name of this quadrilateral.
(1 mark)
(b)
The diagram shows a solid shape.
Diagram: A cuboid .
Write down the mathematical name of this shape.
(1 mark)
Question 9 (6 marks)
The table shows the number of books read by four people in one month.
Person Number of books
Ximena 7
Martha 9
Kezia 1
Tabby 5
(a)
Work out the median number of books.
(2 marks)
(b)
Find the range.
(1 mark)
(c)
On the grid, draw a bar chart to show the information in the table.
Diagram: A graph.
(3 marks)
Question 10 (4 marks)
Wayne begins walking at 8 30 am.
He walks for 1 hour and 45 minutes.
Wayne then rests for 15 minutes.
He then walks for 85 minutes to a cafe.
Does Wayne get to the cafe before 12 noon?
You must show how you get your answer.
(4 marks)
Question 11 (3 marks)
Gabriel thinks of a number.
He multiplies his number by 5 and then adds 7
His answer is 72
What number did Gabriel think of?
(3 marks)
Question 12 (4 marks)
Some students took a guitar exam.
The pie chart shows information about the grades the students got.
Diagram: Pie chart. Distinction 105°, Merit 150°, Pass 75°, Fail 30°.
(a)
Write down the modal grade.
(1 mark)
(b)
7 students got distinction.
Work out the total number of students who took the guitar exam.
(3 marks)
Question 13 (5 marks)
Rowena drove from her home to a beach.
Here is a travel graph for her journey.
Diagram: Travel graph. Time from 12 00 to 16 30 across; distance from home in miles, 0 to 40, up the side. A line from (12 00, 0) to (12 30, 10), flat to 12 45, then up to (13 30, 35).
Rowena stopped at a cafe on her way to the beach.
(a)(i)
How many minutes did Rowena take to drive to the cafe?
(1 mark)
(ii)
Write down the distance from Rowena’s home to the cafe.
(1 mark)
(b)
Rowena stayed at the beach for 11/2 hours.
She then drove home without stopping.
Rowena arrived home at 16 00
On the grid, complete the travel graph.
(2 marks)
(c)
Work out the average speed for the journey from the beach to Rowena’s home.
(1 mark)
Question 14 (4 marks)
120 boxes cost £6
270 bags cost £10
A bag is cheaper than a box.
How much cheaper?
Give your answer in pence correct to 1 decimal place.
(4 marks)
Question 15 (2 marks)
There are only red beads and green beads in a bag.
number of red beads : number of green beads = 1 : 4
There are 35 red beads in the bag.
Work out the total number of beads in the bag.
(2 marks)
Question 16 (2 marks)
Diagram: A graph.
Describe fully the single transformation that maps shape A onto shape B.
(2 marks)
Question 17 (2 marks)
The diagram shows the position of town T.
Diagram: Town T marked with a cross, with a North line drawn straight up from it, and room around it for the answer.
Town R is 55 km from town T on a bearing of 065°
Mark the position of town R with a cross (×).
Use a scale of 1 cm to 10 km.
(2 marks)
Question 18 (3 marks)
Solve 4(2x – 3) = 20
(3 marks)
Question 19 (3 marks)
Jenny invests £3000 for 6 years at y% simple interest per year.
At the end of the 6 years, Jenny has received a total of £450 in interest.
Work out the value of y.
(3 marks)
Question 20 (4 marks)
(a)
Simplify (m²)³
(1 mark)
(b)
Simplify x⁵ × x⁸
(1 mark)
(c)
Expand 4p(p² + 3p)
(2 marks)
Question 21 (5 marks)
Jonny wants to know how much coffee he will need for 800 people at a meeting.
Each person who drinks coffee will drink 2 cups of coffee.
10.6 g of coffee is needed for each cup of coffee.
Jonny assumes 68% of the people will drink coffee.
(a)
Using this assumption, work out the amount of coffee Jonny needs.
Give your answer correct to the nearest gram.
(4 marks)
(b)
Jonny’s assumption is wrong.
72% of the people will drink coffee.
How does this affect your answer to part (a)?
(1 mark)
Question 22 (5 marks)
ACF and ADG are straight lines.
BCD and EFG are parallel lines.
Diagram: A diagram.
Show that triangle ACD is isosceles.
Give a reason for each stage of your working.
(5 marks)
Question 23 (2 marks)
It takes 14 hours for 5 identical pumps to fill a water tank.
How many hours would it take 4 of these pumps to fill another water tank of the same size?
(2 marks)
Question 24 (3 marks)
A and B are numbers such that
A = 2² × 3⁴ × 7
B = 3² × 7²
(a)
Find the highest common factor (HCF) of A and B.
(1 mark)
(b)
Find the lowest common multiple (LCM) of A and B.
(2 marks)
Question 25 (3 marks)
Lava flows from a volcano at a constant rate of 11.9 m³/s
How many days does it take for 67 205 600 m³ of lava to flow from the volcano?
Give your answer correct to the nearest day.
(3 marks)
Question 26 (2 marks)
Here is the graph of y = x² – 2x – 2
Diagram: The graph of y = x squared minus 2x minus 2, for x from –2 to 4.
(a)
Write down the coordinates of the turning point on the graph of y = x² – 2x – 2
(1 mark)
(b)
Write down an estimate for one of the roots of x² – 2x – 2 = 0
(1 mark)
Question 27 (2 marks)
A solid cuboid is made of metal.
The metal has a density of 9 g/cm³
The volume of the cuboid is 72 cm³
Work out the mass of the cuboid.
(2 marks)
Question 28 (4 marks)
(a)
Write (9 × 10⁴) : (4.5 × 10⁶) in the form 1 : n where n is an integer.
(2 marks)
(b)
Write the following numbers in order of size.
Start with the smallest number.
5.625 × 10⁴ 5625 56 250 × 10⁻³ 0.005 625 × 10⁵
(2 marks)

Person	Number of books
Ximena	7
Martha	9
Kezia	1
Tabby	5

Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.

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Edexcel GCSE Foundation June 2023 Paper 3 (calculator)

Question 1 (1 mark)

Question 2 (1 mark)

Question 3 (1 mark)

Question 4 (1 mark)

Question 5 (1 mark)

Question 6 (2 marks)

Question 7 (3 marks)

Question 8 (2 marks)

Question 9 (6 marks)

Question 10 (4 marks)

Question 11 (3 marks)

Question 12 (4 marks)

Question 13 (5 marks)

Question 14 (4 marks)

Question 15 (2 marks)

Question 16 (2 marks)

Question 17 (2 marks)

Question 18 (3 marks)

Question 19 (3 marks)

Question 20 (4 marks)

Question 21 (5 marks)

Question 22 (5 marks)

Question 23 (2 marks)

Question 24 (3 marks)

Question 25 (3 marks)

Question 26 (2 marks)

Question 27 (2 marks)

Question 28 (4 marks)