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.Write 0.875 as a fraction in its simplest form.
- 2.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.
- 3.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.
- 4.£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.
- 5.The recurring decimal 0.181818... can be written as 0.18 recurring, where both digits repeat forever. Let x = 0.18 recurring. Work out x as a fraction in its simplest form.
- 6.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.
- 7.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.
- 8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?
- 9.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.
- 10.c = 50, correct to the nearest 10. d = 18, correct to the nearest whole number. Work out the upper bound of c − d.
- 11.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.
- 12.Work out (−3) × 4 + 2 × (−5)
- 13.Find the missing number: ▢ ÷ 15 = 24
- 14.Work out 3 + 4 × (−2).
- 15.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.
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