Number worksheet — GCSE Higher

1.Work out 3.7 × 24.

2.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

3.The decimal 0.111... has the digit 1 repeating for ever. Write 0.1 recurring as a fraction in its simplest form.

4.Work out 3 × (−2)² − 5

5.A pair of trainers is priced at £80 online. The shop takes 25% off the price and then adds £10 for next-day delivery. Work out the total cost.

6.The population of a planet is 8 × 10⁹. Write this population as an ordinary number.

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

8.Work out the value of (√5)⁴

9.Two lighthouses flash at the start of the same minute. The first lighthouse flashes every 8 minutes and the second flashes every 12 minutes. Work out how many minutes it will be until they next flash together.

10.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

11.Simplify x⁽³⁄⁴⁾ ÷ x⁽¹⁄⁴⁾

12.Round 592.5 to the nearest 10.

13.Simplify x⁷ × x⁴, giving your answer as a single power of x.

14.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

15.Work out 4368 ÷ 12.