AQA GCSE Mathematics Paper 1 (Foundation), June 2025
Every question from AQA GCSE Mathematics Paper 1 (Foundation), June 2025 (8300): 26 questions, 80 marks, each with its mark scheme and topic.
- Question 1 4 marks
Find the next term in three different numerical sequences and calculate the product of a positive integer and a negative integer.
Algebra · Number · 3.1.1 Structure and calculation · 3.2.4 Sequences
- Question 2 4 marks
Identify a multiple of 5, a factor of 40, a prime number, and a square number from a given set of numbers on a card.
Number · 3.1.1 Structure and calculation
- Question 3 3 marks
Use a pictogram with a missing key, given that 48 street names end in Close, to determine how many street names end in Avenue.
Statistics · Ratio, proportion and rates of change · 3.6 Statistics · 3.3 Ratio, proportion and rates of change
- Question 4 3 marks
Use a conversion graph of yellow paint to red paint to determine the amount of red paint for 5 litres of yellow paint, and calculate the total orange paint made using 10 litres of yellow paint.
Algebra · Ratio, proportion and rates of change · 3.2.2 Graphs · 3.3 Ratio, proportion and rates of change
- Question 5 3 marks
Find an unknown number given that dividing it by 8 gives a quotient of 43 and a remainder of 5.
Number · 3.1.1 Structure and calculation
- Question 6 3 marks
Determine the least number of toys sold at £5 each needed to make a profit after buying 200 toys at £4 each.
Number · 3.1.1 Structure and calculation
- Question 7 4 marks
Calculate the number of weeks needed to save for two vinyl records on a buy-one-get-one-half-price offer, and evaluate how the expiration of the offer affects this saving time.
Number · 3.1.1 Structure and calculation · 3.1.2 Fractions, decimals and percentages
- Question 8 3 marks
Calculate the amount of lentils in grams needed to make lentil soup for 10 people given a recipe for 4 people.
Ratio, proportion and rates of change · Number · 3.3 Ratio, proportion and rates of change · 3.1.1 Structure and calculation
- Question 9 4 marks
Calculate the simplified ratio of the total values of discs in two boxes, and find the probability of randomly picking a disc greater than 6 from Box A.
Ratio, proportion and rates of change · Probability · Number · 3.3 Ratio, proportion and rates of change · 3.5 Probability · 3.1.1 Structure and calculation
- Question 10 3 marks
Work out the value of the algebraic expression 2(a² + 3a) when a = 4.
Algebra · Number · 3.2.1 Notation, vocabulary and manipulation · 3.1.1 Structure and calculation
- Question 11 1 mark
Use a pair of compasses to draw a circle given its diameter and centre X.
Geometry and measures · 3.4.1 Properties and constructions
- Question 12 6 marks
Calculate the total charge for late trains given a fraction of total trains run, and calculate the number of coffees sold from a three-part ratio and total drinks sold.
Number · Ratio, proportion and rates of change · 3.1.2 Fractions, decimals and percentages · 3.3 Ratio, proportion and rates of change
- Question 13 3 marks
Work out the value of x given two adjacent angles on a straight line, 74° and 2x.
Geometry and measures · Algebra · 3.2.3 Solving equations and inequalities · 3.4.1 Properties and constructions
- Question 14 4 marks
Estimate the value of 1.98 × 3.82 + 6.75² by rounding each number to 1 significant figure, and determine whether the result is an overestimate or underestimate.
Number · 3.1.1 Structure and calculation · 3.1.3 Measures and accuracy
- Question 15 3 marks
Show that the radius of a sphere with diameter 20 cm is 10 cm, and calculate its volume in terms of π.
Geometry and measures · Number · 3.4.1 Properties and constructions · 3.4.2 Mensuration and calculation · 3.1.1 Structure and calculation
- Question 16 4 marks
Use an inverse proportion formula relating days and workers to calculate the number of workers needed, and determine the effect on the number of workers if fewer days are required.
Algebra · Ratio, proportion and rates of change · 3.2.1 Notation, vocabulary and manipulation · 3.2.3 Solving equations and inequalities · 3.3 Ratio, proportion and rates of change
- Question 17 1 mark
Identify the correct statement regarding the length of a chord compared to the radius of a circle.
Geometry and measures · 3.4.1 Properties and constructions
- Question 18 2 marks
Calculate the mass of a metal solid with a volume of 11 cm³ and a density of 8.5 g/cm³.
Ratio, proportion and rates of change · 3.3 Ratio, proportion and rates of change
- Question 19 3 marks
Use the mean and range from a summary table to evaluate three statements comparing the test marks of two schools as True, May be true, or Not true.
Statistics · 3.6 Statistics
- Question 20 4 marks
Calculate the result of two arithmetic operations involving decimals and powers of 10, giving both answers in standard form.
Number · 3.1.1 Structure and calculation
- Question 21 2 marks
Complete the drawing of the net of a cuboid measuring 5 cm by 3 cm by 2 cm on a centimetre grid.
Geometry and measures · 3.4.1 Properties and constructions
- Question 22 4 marks
Complete the frequency tree representing students in Year 10 and Year 11 who win or do not win a medal in a competition.
Ratio, proportion and rates of change · Statistics · 3.3 Ratio, proportion and rates of change · 3.6 Statistics
- Question 23 3 marks
Calculate the value of 4/15 + 1/5 ÷ 1/2, giving the final answer as a fraction.
Number · 3.1.1 Structure and calculation · 3.1.2 Fractions, decimals and percentages
- Question 24 1 mark
Identify which value of x gives the greatest value of y for the equation y = 1/x.
Number · Algebra · 3.1.1 Structure and calculation · 3.1.2 Fractions, decimals and percentages · 3.2.1 Notation, vocabulary and manipulation
- Question 25 1 mark
Identify the exact trigonometric value of sin 90° from four given options.
Geometry and measures · 3.4.2 Mensuration and calculation
- Question 26 4 marks
Work out the value of x given that the area of a rectangle with sides (x + 2) cm and (x - 5) cm is 120 cm².
Algebra · Geometry and measures · 3.2.1 Notation, vocabulary and manipulation · 3.2.3 Solving equations and inequalities · 3.4.2 Mensuration and calculation