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AQA GCSE Foundation June 2025 Paper 3 (calculator)
24 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)
Here are the first three patterns in a sequence.
Pattern 1
Diagram: Pattern 1: 2 rows of 3 squares. The squares round the edge have a cross; the 1 square in the middle is shaded.
Pattern 2
Diagram: Pattern 2: 2 rows of 4 squares. The squares round the edge have a cross; the 2 squares in the middle are shaded.
Pattern 3
Diagram: Pattern 3: 2 rows of 5 squares. The squares round the edge have a cross; the 3 squares in the middle are shaded.
(a)
Draw Pattern 4 on the grid.
Diagram: A blank grid of 2 rows of 6 squares.
(1 mark)
(b)
How many squares in Pattern 6 would have a cross (X) in them?
(2 marks)
Question 2 (2 marks)
Line AB is on a grid.
Diagram: A coordinate grid, x from 0 to 9 and y from 0 to 7. A straight line joins A at the top to B at the bottom; it is vertical.
(a)
Write down the coordinates of B.
(1 mark)
(b)
Write down the coordinates of the midpoint of the line AB.
(1 mark)
Question 3 (3 marks)
(a)
Jodie makes a sandwich using one type of bread and one filling.
Bread Filling White (W) Cheese (C) or or Brown (B) Ham (H) or Tuna (T) Complete the table of the 6 possible sandwiches they could make.
One has been done for you.WC (2 marks)
(b)
What fraction of the possible sandwiches use Cheese?
(1 mark)
Question 4 (4 marks)
Here is a number machine.
Diagram: Number machine: input, then × 3, then – 5, then output.
(a)
Work out the output when the input is 4
(1 mark)
(b)
Work out the input when the output is 19
(2 marks)
(c)
Complete this number machine.
Diagram: A number machine: input 16, then + 2, then an empty box, then output 3.
(1 mark)
Question 5 (4 marks)
(a)
Complete the table to show equivalent fractions, decimals and percentages.
Fraction Decimal Percentage 0.5 50% 1/10 10% 2/5 0.4 (3 marks)
(b)
What percentage of this grid is shaded?
Diagram: A grid of 4 rows of 5 squares. The top 3 rows are shaded.
(1 mark)
Question 6 (3 marks)
Which metric unit would be most suitable for each measurement?
Tick one box for each.centimetres (cm) metres (m) kilometres (km) Distance between two villages Length of a pencil Height of a building (3 marks)
Question 7 (5 marks)
A mobile phone company has two different plans.
Plan A Plan B Phone £500 Phone is free plus plus £11 per month for 24 months £35 per month for 24 months (a)
Show that the total cost of Plan A for 24 months is £764
(2 marks)
(b)
During a sale, the total cost of Plan B is reduced by 10%
Which plan is cheaper for 24 months during the sale?
Tick a box.Plan A square Plan B square Show working to support your answer.
(3 marks)
Question 8 (3 marks)
One burger costs £3.80
Two burgers and three hotdogs cost £15.85
Work out the cost of one hot dog.
(3 marks)
Question 9 (4 marks)
(a)
The square of a whole number is a two-digit number.
Work out
the smallest number that could have been squared
and
the largest number that could have been squared.(3 marks)
(b)
Which has the larger value 0.8² or 0.8³ ?
Tick a box.0.8² square 0.8³ square Give a reason for your answer.
(1 mark)
Question 10 (4 marks)
(a)
£4.56 is paid using the smallest possible number of coins.
What is the modal value of the coins used?
You must show your working.(2 marks)
(b)
Here is a list of five numbers.
5 9 4 16 8
An extra number is put into the list.
The median of the numbers is now 7Work out the extra number.
(2 marks)
Question 11 (3 marks)
Paul buys plates for his cafe.
The cafe has 20 tables.
He buys 6 plates for each table plus an extra 70% for spares.Work out how many plates Paul buys in total.
(3 marks)
Question 12 (2 marks)
The table shows the age and value of some cars.
Age of car (years) Value of car (nearest £1000) 2 22 000 3 21 000 3 18 000 4 19 000 5 14 000 6 12 000 7 9000 10 5000 Anil draws this scatter diagram and line of best fit for the data.
Diagram: Anil’s scatter diagram. Age of car (years) across, 0 to 12. Value of car up the side, labelled 0, 500, 1000, 5000, 10 000, 15 000, 20 000, 25 000 at equal spacing. Crosses at (2, 22 000), (3, 21 000), (3, 18 000), (4, 20 000), (5, 14 000), (6, 12 000), (7, 9000) and (10, 5000). A straight line from (1.5, 25 000) down to (7, 0), much steeper than the crosses.
Write down two mistakes he has made.
(2 marks)
Question 13 (3 marks)
A rectangle and a triangle are drawn on a square grid.
Diagram: A square grid, 14 squares across and 6 up. A rectangle 5 squares wide and 3 squares tall. A right-angled triangle with a base of 4 squares and a height of 4 squares.
Work out the ratio area of rectangle : area of triangle
(3 marks)
Question 14 (5 marks)
A box contains cards that are either red, blue, green or yellow.
Colour Red Blue Green Yellow Probability 0.1 0.24 (a)
P(green) = P(yellow)
Complete the table.
(2 marks)
(b)
There are 600 cards in the box.
How many cards are not blue?(3 marks)
Question 15 (3 marks)
A and B are triangles.
For each statement, tick the correct box to describe A and B.
Always congruent Sometimes congruent Never congruent A’s sides are the same lengths as B’s sides A’s angles are the same as B’s angles A is an enlargement of B with scale factor 2 (3 marks)
Question 16 (4 marks)
Here is an equilateral triangle.
All measurements are in centimetres.Diagram: An equilateral triangle. The left side is labelled 6x – 8 and the right side 2x + 12.
Work out the value of the perimeter of the triangle.
(4 marks)
Question 17 (3 marks)
Sid and Zak each throw the same biased coin.
Here is some information about their throws.
Sid 80 throws Relative frequency of Heads is 0.75 Zak 120 throws 72 are Heads (a)
Work out the relative frequency of Heads for the 200 throws.
(2 marks)
(b)
Which results would give the best estimate of the probability of Heads?
Tick one box.Sid’s 80 throws square Zak’s 120 throws square All 200 throws square Give a reason for your answer.
(1 mark)
Question 18 (3 marks)
The pie chart represents the results of matches played by a team.
Diagram: A pie chart. Won is the left half of the circle. On the right, Lost has an angle of 132° at the top and Drew has an angle of 48° at the bottom.
30 matches were won.
How many matches were lost?
(3 marks)
Question 19 (5 marks)
Here is a scale diagram showing towns A, B and C on a centimetre grid.
Scale 1 : 200 000
Diagram: A centimetre grid, 10 cm by 10 cm, with North straight up. Town A is at (6, 6), town B at (9, 3) and town C at (3.5, 3), measuring in centimetres from the bottom left corner.
(a)
Work out the actual distance from B to C.
Give your answer in kilometres.(4 marks)
(b)
B is South East of A.
Write down the bearing of B from A.
(1 mark)
Question 20 (3 marks)
A linear sequence has
• 2nd term = 6
• 5th term = 18Work out the nth term of the sequence.
(3 marks)
Question 21 (3 marks)
Ary, Bea and Cat each have an amount of money.
Cat has £280
• Cat’s amount is 2/3 of Bea’s amount.
• Ary’s amount : Bea’s amount = 5 : 12Work out how much money Ary has.
(3 marks)
Question 22 (2 marks)
The Venn diagram shows some of the numbers of items in each set.
Diagram: Venn diagram with sets A and B. Only A: 30. Both: 20. Only B: x. Neither: 6.
P(A) = 1/2
Work out the value of x.
(2 marks)
Question 23 (4 marks)
Diagram: Two right-angled triangles share a vertical side. The top triangle has a horizontal side of 12 cm and a sloping side of 13 cm, with the right angle at the top of the shared side. The bottom triangle has a horizontal side of 9 cm and a sloping side of x cm, with the right angle at the bottom of the shared side.
Use Pythagoras’ theorem to show that the value of x is between 10 and 11
(4 marks)
Question 24 (2 marks)
(a)
Write down the equation of a straight line parallel to y – 2x = 9
(1 mark)
(b)
A straight line
• has gradient 5
• passes through the point (3, 7)Circle the equation of the line.
y = 3x – 2 y = 3x + 7 y = 5x y = 5x – 8 (1 mark)
Questions © AQA, recreated by Mr Barton Maths for teaching. Each question is credited to its board, series, paper and number.