Number worksheet — GCSE Higher

1.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

2.Work out the value of 6² − 4³.

3.Work out how many factors 36 has.

4.Robert is converting 0.999... (with the 9s recurring forever) into a fraction. He lets x = 0.999... . Multiplying by 10 gives 10x = 9.999... . Subtracting x from 10x gives 9x = 9, so x = 1. Which statement correctly explains this result?

5.Work out 35% of 180.

6.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

7.Which of these statements about −0.7 and −0.25 is true?

8.Simplify ⁴√(16a⁸b¹²)

9.Four friends share a restaurant bill of £53.90 equally. A calculator gives each share as 13.475. Work out how much each friend should pay.

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

11.Write 0.35 as a fraction in its lowest terms.

12.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.

13.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.

14.Which one of these statements is true?

15.A school council must choose a committee of 3 pupils from 8 volunteers. The three places on the committee are all the same, so only which pupils are chosen matters. Work out how many different committees could be formed.