Edexcel GCSE Foundation June 2025 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 down the value of the 7 in the number 49.715
(1 mark)
Question 2 (1 mark)
Find √5.76
(1 mark)
Question 3 (1 mark)
Write 19% as a fraction.
(1 mark)
Question 4 (1 mark)
Here are some fractions.
3/9 6/18 2/6 4/10 5/15
Which one of these fractions is not equivalent to 1/3?
(1 mark)
Question 5 (1 mark)
Write down two factors of 32
(1 mark)
Question 6 (3 marks)
Abi has some £10 notes and some £20 notes.
The notes have a total value of £400Abi has six £20 notes.
Work out the number of £10 notes Abi has.
(3 marks)
Question 7 (2 marks)
Tom has a fair ordinary dice.
He rolls the dice once.(a)
On the probability scale below, mark with a cross (×) the probability that Tom gets
the number 2Diagram: A probability scale from 0 to 1 with a mark at every sixth, labelled 0, one half and 1.
(1 mark)
(b)
On the probability scale below, mark with a cross (×) the probability that Tom gets
a number greater than 4Diagram: A probability scale from 0 to 1 with a mark at every sixth, labelled 0, one half and 1.
(1 mark)
Question 8 (2 marks)
Here is a menu.
Drink Cake Coffee (C) Brownie (B) Tea (T) Flapjack (F) Lemonade (L) Scone (S) Asma can choose one drink and one cake.
Write down all the possible combinations Asma can choose.
(2 marks)
Question 9 (3 marks)
Diagram: A grid with x from –6 to 6 and y from –5 to 5. Points A, B and C are marked with crosses.
(a)
Write down the coordinates of point A.
(1 mark)
(b)
On the grid, mark with a cross (×) the point D so that ABCD is a square.
Label this point D.(1 mark)
(c)
On the grid, mark with a cross (×) the point E so that C is the midpoint of BE.
Label this point E.(1 mark)
Question 10 (1 mark)
Jason says,
“The cube root of 27 is 9 because 27 divided by 3 is 9”
Is Jason correct?
You must give a reason for your answer.(1 mark)
Question 11 (2 marks)
Elena’s height is 136 centimetres.
George’s height is 1.2 metres.Elena’s height is greater than George’s height.
How many centimetres greater?
(2 marks)
Question 12 (3 marks)
(a)
The nth term of a sequence is 4n – 1
Work out the 3rd term of the sequence.
(1 mark)
(b)
Here are the first four terms of a different sequence.
9 15 21 27
Is 63 a number in this sequence?
You must give a reason for your answer.(2 marks)
Question 13 (4 marks)
ABCD is a quadrilateral.
BCF and DCE are straight lines.Diagram: Quadrilateral ABCD with a right angle at A and angle 45° at D. DC is extended beyond C to E, and BC is extended beyond C to F, so the straight lines BCF and DCE cross at C. Angle ECF is 120°. The angle at B is marked x.
Work out the size of the angle marked x.
Give a reason for each stage of your working.(4 marks)
Question 14 (3 marks)
The accurately drawn diagram shows two points, C and D, on a map.
Diagram: An accurately drawn map with two points C and D joined by a straight line. A north line points straight up from each point. D is below and to the right of C. A centimetre scale bar, 0 to 4 cm, is drawn under the map so lengths can be measured on screen.
(a)
Find the bearing of D from C.
(1 mark)
(b)
The scale of the map is 1 cm represents 4 km.
Work out the real distance from C to D.
(2 marks)
Question 15 (2 marks)
There are 200 counters in a bag.
87 of the counters are green.
24 of the counters are yellow.(a)
What fraction of the counters are green?
(1 mark)
(b)
What percentage of the counters are yellow?
(1 mark)
Question 16 (3 marks)
A team plays 48 games.
The team wins 3/8 of the 48 games.
The number of games the team loses is the same as the number of games the
team draws.Work out the number of games the team loses.
(3 marks)
Question 17 (4 marks)
120 students are asked if they have a skateboard or a scooter.
37 of the students have a skateboard.
21 of the students who have a skateboard also have a scooter.
65 of the students have a scooter.(a)
Use this information to complete the frequency tree.
Diagram: A frequency tree: 120 at the start, branching into have a skateboard and do not have a skateboard, then each branching into have a scooter and do not have a scooter.
(3 marks)
(b)
One of the 120 students is chosen at random.
Find the probability that this student does not have a skateboard.
(1 mark)
Question 18 (3 marks)
Amy buys a car.
The car costs £12 000Amy pays a deposit of 20% of the cost.
She pays the rest of the cost in 24 equal monthly payments.Amy says that each monthly payment is less than £450
Is Amy correct?
You must show how you get your answer.(3 marks)
Question 19 (4 marks)
Katya counted the number of people in each of 50 cars.
The table gives information about her results.
Number of people Frequency 1 16 2 15 3 7 4 9 5 3 (a)
Find the median number of people.
(1 mark)
(b)
Work out the mean number of people.
(3 marks)
Question 20 (3 marks)
(a)
Use your calculator to work out the value of
(42.1 – 29.53)/(9.82 + 37.6)
Give your answer as a decimal.
Write down all the figures on your calculator display.(2 marks)
(b)
Write your answer to part (a) correct to 2 significant figures.
(1 mark)
Question 21 (5 marks)
(a)
Simplify y¹⁰ ÷ y²
(1 mark)
(b)
Simplify (e³)²
(1 mark)
(c)
Expand x(3x² + 5)
(1 mark)
(d)
Expand and simplify (n + 5)(n – 2)
(2 marks)
Question 22 (2 marks)
The table shows information about the distances that 60 people travel to work.
Distance (d miles) Frequency 0 < d ≤ 10 12 10 < d ≤ 20 25 20 < d ≤ 30 10 30 < d ≤ 40 8 40 < d ≤ 50 5 Draw a frequency polygon for the information in the table.
Diagram: A blank grid. Distance (d miles) from 0 to 50 across, frequency from 0 to 30 up.
(2 marks)
Question 23 (3 marks)
(a)
Ben is trying to make m the subject of p = m/3 + 5
Here is his working.
p – 5 = m/3
3 × p – 5 = m
m = 3p – 5Ben’s answer is wrong.
What mistake has Ben made?
(1 mark)
(b)
Factorise fully 2x³y + 4xy²
(2 marks)
Question 24 (3 marks)
Mia pays £25 for 200 oranges.
Mia puts the oranges into bags.
She puts 5 oranges into each bag.Mia sells all the bags of oranges for £1 each bag.
Work out Mia’s percentage profit.
(3 marks)
Question 25 (4 marks)
In London, 2 kg of carrots cost £3.75
In New York, 5 lbs of carrots cost 4.90 US dollars.£1 = 1.20 US dollars
1 kg = 2.2 lbsIn which city are carrots better value for money, London or New York?
You must show how you get your answer.(4 marks)
Question 26 (2 marks)
Karim rounds a number, n, to 1 decimal place.
The result is 23.8Complete the error interval for n.
……… ≤ n < ………
(2 marks)
Question 27 (3 marks)
A plane takes 2 hours 24 minutes to fly from Luton to Alicante.
The plane flies a distance of 1512 kilometres.Work out the average speed of the plane.
Give your answer in kilometres per hour.(3 marks)
Question 28 (3 marks)
ABC is a straight line.
Diagram: A sketch of a straight line on a pair of axes. Points A (2, 7), B (8, 12) and C are marked with crosses along the line, in that order, going up to the right. C is not labelled with its coordinates.
Point A has coordinates (2, 7)
Point B has coordinates (8, 12)BC = 1/2AB
Find the coordinates of point C.
(3 marks)
Question 29 (5 marks)
The diagram shows trapezium ABCD.
Diagram: Trapezium ABCD. AB is the bottom side, 12 cm, and DC is the longer top side, parallel to AB. AD is a vertical side of 8 cm with right angles at A and D. BC slopes up to the right from B to C.
AB = 12 cm
AD = 8 cmThe trapezium has an area of 112 cm²
Work out the perimeter of the trapezium.
Give your answer correct to 3 significant figures.(5 marks)
Question 30 (3 marks)
Solve algebraically the simultaneous equations
x + 7y = 14
3x – y = 9(3 marks)
Questions © Pearson Education, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.