Number worksheet — GCSE Higher

1.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

2.Work out (−36) ÷ (−6) × 2

3.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

4.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

5.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.

6.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

7.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

8.A car manufacturer offers a car in 6 colours and 4 trim levels. Two colour-and-trim combinations are not available: red with sport trim, and white with sport trim. Work out how many different colour-and-trim combinations are available.

9.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

10.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

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

12.The decimal 0.2333... has one non-recurring digit (the 2) followed by a single recurring digit (the 3), so it can be written as 0.2 recurring 3. Let x = 0.2333... . Work out x as a fraction in its simplest form.

13.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

14.3/5 of a 5/6 litre bottle of juice is poured out. Work out the exact volume poured out, in litres.

15.A café sells ice cream in three flavours: vanilla, mango and pistachio. Isla buys a cone with two scoops, using two different flavours, one for the bottom scoop and one for the top scoop. Work out how many different cones she could buy.