AQA GCSE Mathematics Paper 3 (Foundation), June 2025
Every question from AQA GCSE Mathematics Paper 3 (Foundation), June 2025 (8300): 24 questions, 80 marks, each with its mark scheme and topic.
- Question 1 3 marks
Given the first three patterns in a sequence of grids containing crosses and shaded squares, draw Pattern 4 and determine how many crosses are in Pattern 6.
Algebra · 3.2.4 Sequences
- Question 2 2 marks
Find the coordinates of point B on a coordinate grid and determine the coordinates of the midpoint of the line AB.
Algebra · Geometry and measures · 3.2.2 Graphs · 3.4.1 Properties and constructions
- Question 3 3 marks
List all 6 combinations of bread and fillings for a sandwich, and find the fraction of combinations that use cheese.
Probability · Number · 3.5 Probability · 3.1.1 Structure and calculation · 3.1.2 Fractions, decimals and percentages
- Question 4 4 marks
Use a number machine to find an output given an input, an input given an output, and determine a missing operation.
Number · Algebra · 3.1.1 Structure and calculation · 3.2.3 Solving equations and inequalities
- Question 5 4 marks
Complete an equivalence table for fractions, decimals, and percentages, and find the percentage of a shaded grid.
Number · 3.1.2 Fractions, decimals and percentages
- Question 6 3 marks
Identify the most suitable metric unit of length (centimetres, metres, or kilometres) for three everyday measurements.
Number · Geometry and measures · 3.1.3 Measures and accuracy · 3.4.2 Mensuration and calculation
- Question 7 5 marks
Calculate and compare the total costs of two 24-month mobile phone plans, including applying a 10% discount to one plan.
Number · Ratio, proportion and rates of change · 3.1.1 Structure and calculation · 3.1.2 Fractions, decimals and percentages · 3.3 Ratio, proportion and rates of change
- Question 8 3 marks
Work out the cost of one hot dog given the cost of one burger and the total cost of two burgers and three hot dogs.
Number · Algebra · 3.1.1 Structure and calculation · 3.2.3 Solving equations and inequalities
- Question 9 4 marks
Find the smallest and largest whole numbers whose squares are two-digit numbers, and determine with a reason whether 0.8² or 0.8³ is larger.
Number · 3.1.1 Structure and calculation
- Question 10 4 marks
Find the modal coin value when paying £4.56 with the minimum number of coins, and determine the missing number that makes the median of a list equal to 7.
Statistics · Number · 3.6 Statistics · 3.1.1 Structure and calculation · 3.1.3 Measures and accuracy
- Question 11 3 marks
Calculate the total number of plates bought for 20 tables with 6 plates per table plus an extra 70% for spares.
Number · Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages · 3.3 Ratio, proportion and rates of change
- Question 12 2 marks
Identify two mistakes made in drawing a scatter graph and line of best fit representing the age and value of cars.
Statistics · 3.6 Statistics
- Question 13 3 marks
Work out the ratio of the area of a rectangle to the area of a triangle drawn on a square grid.
Geometry and measures · Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change · 3.4.2 Mensuration and calculation
- Question 14 5 marks
Complete a probability table for mutually exclusive outcomes where two probabilities are equal, and calculate the expected number of cards that are not blue from a total of 600 cards.
Probability · 3.5 Probability
- Question 15 3 marks
Determine whether two triangles are always, sometimes, or never congruent given conditions on their side lengths, angles, or enlargement scale factor.
Geometry and measures · 3.4.1 Properties and constructions · 3.4.2 Mensuration and calculation
- Question 16 4 marks
Work out the value of the perimeter of an equilateral triangle with side lengths given by algebraic expressions 6x - 8 and 2x + 12.
Algebra · Geometry and measures · 3.2.3 Solving equations and inequalities · 3.4.1 Properties and constructions
- Question 17 3 marks
Calculate the combined relative frequency of Heads from two sets of coin throws, and identify which sample gives the best estimate of probability with a reason.
Probability · 3.5 Probability
- Question 18 3 marks
Calculate the number of matches lost using information given in a pie chart where 30 matches correspond to the won sector.
Statistics · Ratio, proportion and rates of change · 3.6 Statistics · 3.3 Ratio, proportion and rates of change
- Question 19 5 marks
Calculate the actual distance between two towns from a centimetre grid scale drawing and state the bearing between two locations.
Geometry and measures · Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change · 3.4.2 Mensuration and calculation
- Question 20 3 marks
Find the nth term of a linear sequence given that the second term is 6 and the fifth term is 18.
Algebra · 3.2.4 Sequences
- Question 21 3 marks
Work out how much money Ary has given Cat's amount, the fractional relationship between Cat and Bea, and the ratio of Ary's amount to Bea's amount.
Number · Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages · 3.3 Ratio, proportion and rates of change
- Question 22 2 marks
Use a Venn diagram and the given probability P(A) = 1/2 to find the missing value x.
Probability · Algebra · 3.5 Probability · 3.2.3 Solving equations and inequalities
- Question 23 4 marks
Use Pythagoras' theorem on two connected right-angled triangles to show that the unknown length x is between 10 and 11.
Geometry and measures · Number · 3.4.2 Mensuration and calculation · 3.1.1 Structure and calculation
- Question 24 2 marks
Find the equation of a straight line parallel to a given line and identify the equation of a line with a given gradient passing through a given point.
Algebra · 3.2.2 Graphs