AQA GCSE Mathematics Paper 2 (Foundation), June 2025
Every question from AQA GCSE Mathematics Paper 2 (Foundation), June 2025 (8300): 26 questions, 80 marks, each with its mark scheme and topic.
- Question 1 3 marks
Solve three simple one-step linear equations: w + 8 = 19, 3x = 24, and 20 - y = 7.
Algebra · 3.2.3 Solving equations and inequalities
- Question 2 2 marks
Find the number of cows and the total number of animals given a sheep to cow ratio of 31 : 47 and that there are fewer than 100 animals in total.
Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change
- Question 3 3 marks
Determine a direction between points on a grid and calculate the actual path distance using a scale drawing.
Geometry and measures · Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change · 3.4.2 Mensuration and calculation
- Question 4 4 marks
Simplify basic algebraic expressions involving multiplication, repeated addition, index notation, and division.
Algebra · 3.2.1 Notation, vocabulary and manipulation
- Question 5 2 marks
Show that the total distance walked (400 metres, 250 metres, and 380 metres) is greater than 1 kilometre.
Number · Ratio, proportion and rates of change · 3.1.1 Structure and calculation · 3.1.3 Measures and accuracy · 3.3 Ratio, proportion and rates of change
- Question 6 4 marks
Use the given bar chart and total of 50 people to find the frequency for Lion and complete the bar chart.
Statistics · Number · 3.6 Statistics · 3.1.1 Structure and calculation
- Question 7 2 marks
Work out 80p as a fraction of £1, giving the answer in simplest form.
Ratio, proportion and rates of change · Number · 3.3 Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages
- Question 8 4 marks
Convert between units of time (hours to minutes), mass (grams to kilograms), and distance (kilometres to miles using a given conversion rate).
Number · Ratio, proportion and rates of change · 3.1.3 Measures and accuracy · 3.3 Ratio, proportion and rates of change
- Question 9 4 marks
Calculate finishing time given start time and duration, and determine whether a given amount of time in minutes is more than one quarter of the total working time in hours.
Number · Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages · 3.1.3 Measures and accuracy · 3.3 Ratio, proportion and rates of change
- Question 10 3 marks
Given two mathematically similar shapes, determine an unknown corresponding angle and find an unknown side length using scale factors.
Geometry and measures · Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change · 3.4.2 Mensuration and calculation
- Question 11 3 marks
Show that the algebraic expressions 7(x - 2) + 4x + 6 and 5(3x + 2) - 4x - 18 are equivalent.
Algebra · 3.2.1 Notation, vocabulary and manipulation
- Question 12 2 marks
Calculate the total cost of 7 apples given that 4 apples cost £2.20.
Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change
- Question 13 4 marks
Calculate the range of mobile phone usage over four weeks, and determine the usage in a fifth week given the overall mean for all five weeks.
Statistics · Number · 3.6 Statistics · 3.1.1 Structure and calculation
- Question 14 4 marks
Match four verbal descriptions involving a variable to their correct algebraic expressions.
Algebra · 3.2.1 Notation, vocabulary and manipulation
- Question 15 1 mark
Determine whether Warren is correct about the perimeter of a rectangle with area 60 cm² and side length 10 cm, showing working to support the answer.
Geometry and measures · 3.4.2 Mensuration and calculation
- Question 16 1 mark
Rearrange the equation a + 3 = b to make a the subject.
Algebra · 3.2.1 Notation, vocabulary and manipulation
- Question 17 3 marks
Determine which packet of rice is better value for money by comparing costs per mass or mass per cost: Packet A (200 g for £1.10) or Packet B (500 g for £2.60).
Ratio, proportion and rates of change · Number · 3.3 Ratio, proportion and rates of change · 3.1.1 Structure and calculation
- Question 18 4 marks
Solve three short ratio problems: convert a fraction to a ratio, simplify an algebraic ratio into the form n : 1, and find the value of x in an equivalent ratio equation.
Ratio, proportion and rates of change · Algebra · 3.3 Ratio, proportion and rates of change · 3.2.3 Solving equations and inequalities
- Question 19 3 marks
Complete a probability tree diagram for two independent spinners and calculate the probability that both spinners land on red.
Probability · Number · 3.5 Probability · 3.1.2 Fractions, decimals and percentages
- Question 20 5 marks
Plot a time series graph of advert views over six days and estimate the earnings on day 7 given a payment of 0.018p per view.
Statistics · Number · 3.6 Statistics · 3.1.3 Measures and accuracy · 3.1.1 Structure and calculation
- Question 21 3 marks
Calculate the total percentage of discs removed from a box given the proportions of red and blue discs and the percentage removed from each colour.
Number · Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages · 3.3 Ratio, proportion and rates of change
- Question 22 4 marks
Calculate the total number of adults in a group visiting a theme park given ticket prices, an offer of one adult free with every 5 students, the number of students, and the total cost.
Number · Ratio, proportion and rates of change · 3.1.1 Structure and calculation · 3.3 Ratio, proportion and rates of change
- Question 23 4 marks
Find the error interval for a fence panel measured to the nearest 10 cm, and show that three panels measuring 2 metres to the nearest 10 cm have a total length less than 6.2 m.
Number · 3.1.3 Measures and accuracy
- Question 24 1 mark
Circle the expression which is a factor of 3x + 15 from the given choices: 3x, x + 12, x + 5, or x + 15.
Algebra · 3.2.1 Notation, vocabulary and manipulation
- Question 25 4 marks
Calculate the area of a shaded sector of a circle given its circumference, and evaluate how decreasing the sector angle affects the calculated area.
Geometry and measures · 3.4.2 Mensuration and calculation
- Question 26 3 marks
Use right-angled trigonometry to find the length of the opposite side in a triangle given an adjacent side of 4 cm and an angle of 36°.
Geometry and measures · 3.4.2 Mensuration and calculation