Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
Number worksheet — GCSE Higher
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- 1.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.
- 2.Simplify x⁶ ÷ x²
- 3.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.
- 4.Work out the exact value of √(2² + 3²)
- 5.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 6.Simplify ⁴√(16a⁸b¹²)
- 7.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 8.Work out −(−3)⁴ + (−3)³
- 9.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.
- 10.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.
- 11.A car is hired from 10:00 on Monday until 16:00 on Thursday. Work out the total length of the hire, in hours.
- 12.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².
- 13.Work out 4368 ÷ 12.
- 14.Sam rounds 0.070268 to 3 significant figures and writes 0.0703. Which of these statements is correct?
- 15.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
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