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.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.
- 2.Simplify (y³)⁴, giving your answer as a single power of y.
- 3.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.
- 4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.
- 5.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 6.Work out (5 + 2) × 3²
- 7.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.
- 8.Write 90 as a product of its prime factors.
- 9.A company's turnover is 5.6 × 10⁷ pounds, spread evenly across 3.5 × 10² shops. Work out the average turnover per shop, in standard form.
- 10.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 11.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 12.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 13.Work out 35% of 180.
- 14.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 15.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.
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