Sample paper · GCSE Foundation · grades 1–5
GCSE Foundation sample Paper 1 (non-calculator)
The real Paper 1 is 1.5 hour 30 minutes and 80 marks, non-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 no calculator-only items. AO1 / AO2 / AO3 at this tier: 50% / 25% / 25%.
Non-calculatorGCSE Foundation
GCSE Foundation sample Paper 1 (non-calculator)
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- 1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.
- 2.Which expression means 'triple c, then add double d'?
- 3.The table shows values of x and y. x: 3, 5, 8. y: 12, 20, 32. Which statement correctly describes the relationship between x and y?
- 4.Triangle XYZ has angle X = 90°. Angle Y = 34°. Work out angle Z.
- 5.Two ordinary fair dice are rolled. Work out the probability that the difference between the two scores is 1.
- 6.Write down what a scatter graph is used to show.
- 7.3.4 × 10⁵ is written as an ordinary number. Work out this number.
- 8.A regular hexagon has sides of length (x + 2) cm. Write down an expression, in terms of x, for the perimeter of the hexagon.
- 9.Write 350 ml : 1.4 l as a ratio in its simplest form.
- 10.A scale drawing of a bridge uses a scale of 1 : 25. A support beam on the drawing measures 4.4 cm. What is the real length of the beam, in metres?
- 11.A bag contains 2 white counters and 8 black counters. One counter is taken at random from the bag. Work out the probability that the counter is not black.
- 12.A tin of beans has a mass of 650 g. A bag of rice has a mass of 1.35 kg. Work out the total mass, in kilograms.
- 13.Work out the value of 3b − 4 when b = 6
- 14.Rice costs £3.20 per kg. Work out the cost of the rice in pence per 100 g.
- 15.A shape is translated by the vector and then by the vector . Write down the single column vector that has the same effect as those two translations together.
- 16.A laptop costs £720. A carrying case for it costs 1/9 of the price of the laptop. Work out the cost of the carrying case.
- 17.A student says 4(2x − 3) is equivalent to 8x − 3. Which statement gives the correct verdict and reason?
- 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.Write down the reciprocal of 5/8
- 20.y is directly proportional to x. When x = 2, y = 9. Which of these pairs of values is also consistent with this proportion?
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.