Number worksheet — GCSE Higher

1.Work out 3 × (−2)² − 5

2.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

3.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.

4.A charity raises 8 × 10⁶ pounds. This total is shared equally among 2 × 10² local projects. Work out how much each project receives, in standard form.

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

6.Work out ⁴√81

8.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

9.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

10.Work out ∛(−27) + ∛8

11.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

12.A charity bake sale sells 187 cakes at £2.95 each. By rounding each number to 1 significant figure, work out an estimate for the total amount raised.

13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

14.Work out how many factors 36 has.

15.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.