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.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?
- 2.A circle has a radius of 3 cm. Which of these is the exact area of the circle?
- 3.Simplify x⁷ × x⁴, giving your answer as a single power of x.
- 4.Work out √3 × √12, giving your answer as an integer.
- 5.Work out 3 + 4 × (−2).
- 6.Simplify (5² × 2³)³ ÷ (5³ × 2²)²
- 7.The decimal 0.272727... repeats the block 27 for ever. Write 0.27 recurring as a fraction in its simplest form.
- 8.A carton of orange juice holds 1.35 litres. Ruby pours the juice equally into 4 identical glasses. Work out how much juice is in each glass, giving your answer as a fraction of a litre in its simplest form.
- 9.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.
- 10.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.
- 11.2/3 of an amount of money is £30. Work out the amount.
- 12.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 13.At a swimming pool the ratio of adults to children is 3 : 5. Of the children, 2/5 are boys. What fraction of the people at the pool are boys?
- 14.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.
- 15.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.
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