Number worksheet — GCSE Higher

1.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

2.Work out ∛64.

3.Find the missing number: ▢ ÷ 15 = 24

4.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

5.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

6.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.

7.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

8.Work out ⁴√81

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

10.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

11.A carpenter has a plank of wood 4.8 m long. She cuts off 3 pieces, each 0.9 m long, to make shelves. Work out the length of wood remaining.

12.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

13.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

14.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.