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.
Non-calculator
Number worksheet — GCSE Higher
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- 1.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 2.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.
- 3.Work out √144 − 2 × 3 + √25
- 4.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 5.Find the missing number: ▢ ÷ 15 = 24
- 6.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.
- 7.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.
- 8.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 9.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.
- 10.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.
- 11.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 12.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.
- 13.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.
- 14.Simplify (3a²)² × (2a)³
- 15.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
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