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.
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Number worksheet — GCSE Higher
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- 1.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.
- 2.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%
- 3.Rationalise the denominator of 10/(4 − √6), giving your answer in its simplest form.
- 4.Simplify (y³)⁴, giving your answer as a single power of y.
- 5.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
- 6.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.
- 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.Work out ∛64.
- 9.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.
- 10.Work out 3 × (−2)² − 5
- 11.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.
- 12.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.
- 13.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.
- 14.A lorry travels 105 miles in 1 hour 45 minutes. Work out its average speed in miles per hour.
- 15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.
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