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 statements about −0.7 and −0.25 is true?
- 2.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.
- 3.Rationalise the denominator of 6/√3, giving your answer in its simplest form.
- 4.Which one of these statements is true?
- 5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 6.Write these numbers in order, starting with the largest: −0.6, 0.45, −0.15, 0.5, −0.09
- 7.Work out ((−3) + 5) × (−4) − (−6) ÷ 2
- 8.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?
- 9.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 10.Work out the value of (1/3)⁻²
- 11.Work out 35% of 180.
- 12.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.
- 13.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 14.The recurring decimal 0.454545... can be written as 0.45 recurring, where both digits repeat forever. Let x = 0.45 recurring. Work out x as a fraction in its simplest form.
- 15.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
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