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.A quantity surveyor calculates a length as 24.6851 m. Round this length to 2 decimal places.
- 2.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.
- 3.Work out (2 × 10³) × (3 × 10⁴). Give your answer in standard form.
- 4.A concrete mix is made from cement and sand in the ratio 3 : 5 by mass. A builder mixes 96 kg of concrete. Work out the mass of cement in the mix.
- 5.Work out −(−3)⁴ + (−3)³
- 6.Work out the value of 2⁻⁴
- 7.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.
- 8.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.
- 9.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.
- 10.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.
- 11.Work out −4.5 + 2.8.
- 12.A crowd of 8,400 people is recorded correct to the nearest 100. Work out the smallest possible number of people in the crowd.
- 13.Write 5/6 as a decimal, showing clearly which digit recurs.
- 14.Work out (−2/5) × (−10/3). Give your answer as a fraction in its simplest form.
- 15.Write 0.35 as a fraction in its lowest terms.
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