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AQA GCSE Foundation June 2025 Paper 2 (calculator)
26 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 (3 marks)
(a)
Solve w + 8 = 19
(1 mark)
(b)
Solve 3x = 24
(1 mark)
(c)
Solve 20 – y = 7
(1 mark)
Question 2 (2 marks)
The only animals in a field are sheep and cows.
The ratio sheep : cows = 31 : 47
There are fewer than 100 animals in the field.(a)
Write down the number of cows in the field.
(1 mark)
(b)
In total, how many animals are there in the field?
(1 mark)
Question 3 (3 marks)
A path joins points A, B, and C.
The scale drawing shows the path on a centimetre grid.
Scale: 1 centimetre represents 10 metres
Diagram: A centimetre grid, 8 squares across and 5 up, with an arrow pointing North (up the page). A path goes from A 4 squares right to B, then 3 squares up to C.
(a)
Write down the direction of B from A.
(1 mark)
(b)
Work out the actual distance along the path from A to C.
(2 marks)
Question 4 (4 marks)
(a)
Simplify a × b
(1 mark)
(b)
Simplify fully c + c + c
(1 mark)
(c)
Simplify fully p × p × p
(1 mark)
(d)
Simplify d ÷ d
(1 mark)
Question 5 (2 marks)
Jenny walks
• 400 metres to the shop
• 250 metres to the park
• 380 metres home.Show that Jenny walks more than 1 kilometre.
(2 marks)
Question 6 (4 marks)
50 people choose a mascot for a team.
The bar chart shows some information about their choices.
Mascot choices
Diagram: Bar chart. Bear: 11. Rhino: 20. Ox: 14. Lion: 0.
The 50 people each choose one of bear, rhino, ox or lion.
Complete the bar chart.
(4 marks)
Question 7 (2 marks)
Work out 80p as a fraction of £1
Give your answer in its simplest form.
(2 marks)
Question 8 (4 marks)
(a)
Convert 31/2 hours to minutes.
(1 mark)
(b)
Convert 1400 grams to kilograms.
(1 mark)
(c)
Convert 32 kilometres to miles.
Use 8 kilometres = 5 miles(2 marks)
Question 9 (4 marks)
The table shows information about two workers on one day.
Total working time
(hours)Working time spent online
(minutes)Zeke 8 200 Margot 4 110 (a)
Margot started work at 10:30 am
What time did she finish?(1 mark)
(b)
Zeke says he spent more than one quarter of his total working time online.
Is he correct?
Tick a box.Yes square No square Show working to support your answer.
(3 marks)
Question 10 (3 marks)
These two shapes are similar.
Diagram: Two similar shapes, each a rectangle with a triangular notch cut from its right-hand side. The larger shape has base 15 cm and height x, and the angle where the notch meets the base is 30°. The smaller shape has base 6 cm and height 3 cm, and its matching angle is y.
(a)
Write down the value of y.
(1 mark)
(b)
Work out the value of x.
(2 marks)
Question 11 (3 marks)
Here are two expressions, A and B.
A B 7(x – 2) + 4x + 6 5(3x + 2) – 4x – 18 Show that A and B are equivalent.
(3 marks)
Question 12 (2 marks)
4 apples cost £2.20
Work out the cost of 7 of these apples.
(2 marks)
Question 13 (4 marks)
Ingrid records the number of minutes she uses her mobile phone over four weeks.
140 168 205 192
(a)
Work out the range.
(1 mark)
(b)
Ingrid records the number of minutes for a fifth week.
The mean for all five weeks is 178 minutes.Work out the number of minutes used in the fifth week.
(3 marks)
Question 14 (4 marks)
Match each description to the correct expression.
One has been done for you.Diagram: On the left, 5 boxes, top to bottom: 2 more than n; n doubled; n multiplied by itself; half of n; 2 less than n. On the right, 7 boxes, top to bottom: 2n; n + 2; square root of n; n over 2; n – 2; n squared; 2 – n. A line joins “2 more than n” to n + 2.
(4 marks)
Question 15 (1 mark)
A rectangle has
• an area of 60 cm²
• a side length of 10 cmWarren says,
“The perimeter of the rectangle is 32 cm because 60 ÷ 10 = 6”
Is Warren correct?
Tick a box.Yes square No square Show working to support your answer.
(1 mark)
Question 16 (1 mark)
Rearrange a + 3 = b to make a the subject.
(1 mark)
Question 17 (3 marks)
Diagram: Two packets of rice. Packet A: £1.10 for 200 g. Packet B: £2.60 for 500 g.
Which packet of rice is better value for money?
Tick a box.A square B square You must show your working.
(3 marks)
Question 18 (4 marks)
(a)
Sam uses either the bus or the train to get to work.
dfracnumber of days using busnumber of days using train = 1/8
Write down the ratio number of days using bus : number of days using train
(1 mark)
(b)
Write the ratio 6a : 5a in the form n : 1 where n is a decimal.
(2 marks)
(c)
1 : x = x : 4
Work out the value of x
(1 mark)
Question 19 (3 marks)
Two spinners each have only red sections and green sections.
Spinner 1 P(red) = 3/8 Spinner 2 P(red) = 1/5
(a)
Complete the tree diagram.
Diagram: A probability tree diagram for Spinner 1 and Spinner 2. Spinner 1: Red (3/8) or Green (a blank). After each, Spinner 2: Red or Green, with 1/5, a blank, 1/5, a blank on the four branches.
(2 marks)
(b)
Both spinners are spun.
Work out the probability that both spinners land on red.
(1 mark)
Question 20 (5 marks)
Youssuf posted an advert on his social media channel.
The table shows the number of views of the advert during its first 6 days.Day Number of views 1 49 000 2 95 000 3 87 000 4 77 000 5 64 000 6 48 000 (a)
On the grid, draw a time series graph to represent the data.
Diagram: A grid for a time series graph: Day across, from 0 to 8 (labelled 1 to 7); Number of views up the side, from 0 to 110 000 (labelled every 10 000). Two small squares make one day across and 10 000 views up. Nothing is plotted.
(2 marks)
(b)
Youssuf receives 0.018p for each view of the advert.
Estimate how much he receives from views of the advert on day 7(3 marks)
Question 21 (3 marks)
70% of the discs in a box are red and the rest are blue.
• 40% of the red discs are removed.
• 50% of the blue discs are removed.In total, what percentage of the discs are removed from the box?
(3 marks)
Question 22 (4 marks)
A group of adults and students go to a theme park.
Here are the prices.
Adult £24.50 Student £16.25 One adult free with every 5 students In the group there are 48 students.
The total price for the group is £927How many adults are in the group?
(4 marks)
Question 23 (4 marks)
(a)
The length of a fence panel is 160 cm to the nearest 10 cm
Complete the error interval.
(2 marks)
(b)
A different fence panel measures 2 metres to the nearest 10 cm
Kim says that the total length of three of these fence panels must be less than 6.2 mShow that Kim is correct.
(2 marks)
Question 24 (1 mark)
Circle the expression which is a factor of 3x + 15
3x x + 12 x + 5 x + 15 (1 mark)
Question 25 (4 marks)
Here is a circle, centre O.
Diagram: A circle with centre O. Two radii, one going right and one going straight up, make an angle x at O. The sector between them is shaded.
(a)
The circle has a circumference of 20 cm
Assume that angle x is 90°Work out the shaded area.
Give your answer as a decimal.(3 marks)
(b)
In fact, angle x is smaller than 90°
What does this mean about the shaded area?
Tick one box.It is smaller than the answer to part (a) square It is the same as the answer to part (a) square It is larger than the answer to part (a) square It could be any of the above square (1 mark)
Question 26 (3 marks)
Diagram: A right-angled triangle with the right angle at the bottom left. The base is 4 cm, the vertical side is x and the angle at the bottom right is 36°.
Use trigonometry to work out the value of x.
You must show your working.(3 marks)
Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.