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.Work out the value of 2⁻⁴
- 2.Work out 35% of 180.
- 3.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 4.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.
- 5.Work out 5/6 × 2/9, giving your answer in its simplest form.
- 6.Work out (−6) + (−4) × 3
- 7.Write 0.06 as a fraction in its simplest form.
- 8.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.
- 9.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?
- 10.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.
- 11.2/3 of an amount of money is £30. Work out the amount.
- 12.Expand and simplify √3(2 + √12).
- 13.Work out 3/7 × 14/9. Give your answer as a fraction in its simplest form.
- 14.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?
- 15.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.
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