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.Work out the value of √49 + ∛27
- 2.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?
- 3.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.
- 4.Work out (−2)³ + (−3)² − (−4)
- 5.The rainfall in a town during April is recorded as 62.4 mm, correct to 1 decimal place. Write down the error interval for the actual rainfall, r mm.
- 6.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.
- 7.Five different books are placed in a row on a shelf. Work out how many different orders the five books can be placed in.
- 8.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.
- 9.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 10.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 11.Write these numbers in order, starting with the smallest: −1.4, 5/4, −6/5, 1.3, 0
- 12.√700 lies between which two consecutive integers?
- 13.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 14.Work out 3³ + 2⁴.
- 15.A car travels 100 km, correct to the nearest km, in a time of 2 hours, correct to the nearest 0.1 hour. Work out the average speed, in km/h, to the greatest degree of accuracy the bounds can guarantee.
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