Sample paper · GCSE Foundation · grades 1–5
GCSE Foundation sample Paper 2 (calculator)
The real Paper 2 is 1.5 hour 30 minutes and 80 marks, calculator, and all three papers carry equal weight. This sample is 20 original questions in the same content proportions as the Foundation qualification — number 25%, algebra 20%, ratio, proportion and rates of change 25%, geometry and measures 15%, probability 7.5%, statistics 7.5% — with a calculator allowed. AO1 / AO2 / AO3 at this tier: 50% / 25% / 25%.
CalculatorGCSE Foundation
GCSE Foundation sample Paper 2 (calculator)
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- 1.Write 60 as a product of its prime factors, using index notation.
- 2.Which of these values of x is a solution of x² + 2x − 15 = 0?
- 3.y is inversely proportional to x, and y = 20 ÷ x. Work out the value of y when x = 4.
- 4.How many edges does a triangular prism have?
- 5.Kwame flips a fair coin three times and writes down what it lands on each time. Work out the probability that it lands on heads all three times.
- 6.A stem-and-leaf diagram, described in words, shows the ages of 9 people at a family party. The stem is the tens digit: stem 1 has leaves 4 and 8; stem 2 has leaves 0, 3, 5 and 9; stem 3 has leaves 1 and 6; stem 4 has leaf 2. Work out the median age.
- 7.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 8.Solve 2x − 2 = 2
- 9.A car is bought for £17,500. Its value decreases by 12% in the first year, and by a further 10% of its reduced value in the second year. Work out the value of the car at the end of the second year, giving your answer to the nearest pound.
- 10.A circle has a diameter of 4 cm. Work out the radius of the circle.
- 11.In a board game Mia moves forward by the total of two ordinary fair dice. Work out the probability that her total is 7. Give your answer as a fraction in its simplest form.
- 12.Write the fraction 9/25 as a decimal.
- 13.Work out the equation of the straight line that passes through (−2, 3) and (4, −9).
- 14.A worker is paid £13.20 per hour. Work out this rate of pay in pence per minute.
- 15.The sum of the interior angles of a polygon is 1980°. Work out the number of sides of the polygon.
- 16.A jug holds 1.25 litres of water. Ella pours in another 400 ml. Work out the total volume, in litres.
- 17.Write down the expression that means the same as m² × m × 3.
- 18.y is directly proportional to x. When x = 5, y = 18. Work out the value of y when x = 15.
- 19.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 20.A gym charges members a joining fee plus a fixed amount per month. The total amount paid, C pounds, is shown on a straight-line graph against the number of months, m. The line passes through the points (3, 130) and (7, 210). Work out the total amount a member will have paid after 12 months.
How the 20 questions are shared out
- Number — 5 questions (25% of the qualification)
- Algebra — 4 questions (20% of the qualification)
- Ratio, proportion and rates of change — 5 questions (25% of the qualification)
- Geometry and measures — 3 questions (15% of the qualification)
- Probability — 2 questions (7.5% of the qualification)
- Statistics — 1 question (7.5% of the qualification)
Where an area has fewer printable questions than its share, the shortfall is filled from the other areas. These are original questions, not past papers.