Printable · GCSE Higher · ages 14-16
Standard form worksheet — GCSE Higher
Fifteen questions on "standard form" — DfE statement N9. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Standard form worksheet — GCSE Higher
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- 1.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 2.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.
- 3.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 4.Last year a company made a profit of £5,200,000. Write this amount in standard form.
- 5.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.
- 6.Put these numbers in order, starting with the smallest: 3.2 × 10⁴, 2.9 × 10⁵, 4.1 × 10³
- 7.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.
- 8.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.
- 9.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.
- 10.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.
- 11.Write 0.005 in standard form.
- 12.Write 5,000,000 in standard form.
- 13.Which of these is written correctly in standard form?
- 14.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.
- 15.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.
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