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.£60 is shared between Amir, Bo and Chen in the ratio 1:2:3. Work out the fraction of the £60 that Amir and Bo receive together.
- 2.Write down the symbol that makes this statement true: −2/3 ___ −5/6
- 3.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.
- 4.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.
- 5.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.
- 6.Write 0.875 as a fraction in its simplest form.
- 7.Work out 3.7 × 24.
- 8.Work out 35% of 180.
- 9.Work out (−36) ÷ (−6) × 2
- 10.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 11.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.
- 12.A cyclist travels 40 km, correct to the nearest 10 km, in a time of 3 hours, correct to the nearest hour. Work out the maximum possible average speed, in km/h.
- 13.Work out the value of 6² − 4³.
- 14.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.
- 15.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.
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