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.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 2.A country has an area of 25,000,000 hectares. Write this area in standard form.
- 3.Work out 36 ÷ (2 × 3)
- 4.A tap fills a 20 litre bucket in 2 minutes 30 seconds. Work out the rate of flow, in litres per minute.
- 5.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 6.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.
- 7.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 8.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 9.A café meal deal is one sandwich, one snack and one drink. There are 4 different sandwiches, 3 different snacks and 2 different drinks to choose from. Work out how many different meal deals are possible.
- 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.Round 592.5 to the nearest 10.
- 12.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
- 13.Write down the exact decimal value of the fraction 1/6.
- 14.Work out √225 ÷ 3.
- 15.A 3-character PIN starts with one letter chosen from A, B, C, D and E, followed by two different digits chosen from 1 to 9 (no digit may be used twice in the same PIN). Work out how many different PINs are possible.
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