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.Work out an estimate for 79.3 − 24.6, by rounding each number to the nearest whole number.
- 2.Expand and simplify (x − 3)²
- 3.The ratio of the number of pages Mia has read to the number of pages Leo has read is 7 : 4. Mia has read 84 pages. Work out how many pages they have read altogether.
- 4.In this question, a curved surface counts as a face. How many faces does a cone have?
- 5.The probability that Isla answers a quiz question correctly is 0.8. She answers three questions, and her answers are independent of each other. Work out the probability that she answers all three correctly.
- 6.A sector of a pie chart stands for 25% of the data. Work out the angle at the centre of that sector.
- 7.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 8.A hall is set out in rows of chairs for an assembly. Row 1 has 50 chairs, row 2 has 45 chairs, row 3 has 40 chairs, and row 4 has 35 chairs, with each row after the first having 5 fewer chairs than the one before. Work out an expression, in terms of n, for the number of chairs in row n.
- 9.A graph shows two quantities, x and y, in direct proportion. Write down which statement about the graph must be true.
- 10.A rectangular tile measures 4.5 cm by 6 cm. Work out the area of the tile.
- 11.A charity fundraiser runs a game using a spinner with 5 equal sections numbered 1 to 5. A player wins a £4 prize if the spinner lands on 5, and wins nothing otherwise. It costs £1 to play, and the game is played 100 times during the fundraiser. Decide which statement correctly describes the game.
- 12.Work out the value of .
- 13.In the expression 5x² − 3x + 7, which of these is a single term of the expression?
- 14.A 750 g box of cereal costs £2.70. A 500 g box of the same cereal costs £1.95. Work out which box is better value, and its cost per 100 g.
- 15.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 16.Write down the symbol that makes this statement true: −9 ___ −4
- 17.Solve the inequality 9 − 2x ≥ 1.
- 18.A salt solution has a concentration of 10%. The solution contains 50 g of salt. Work out the total mass of the solution.
- 19.Work out 10% of 30% of £200.
- 20.A coach travels 210 miles at an average speed of 70 mph. Work out how long the journey takes.
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.