Number worksheet — GCSE Higher

1.Work out the value of √(16 + 9)

2.Which of these decimals lies between 1/4 and 2/5?

3.Work out how many factors 36 has.

4.Work out 3 × (−2)² − 5

5.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

6.Work out (3 × 10²) × (2 × 10⁵). Give your answer in standard form.

7.A charity raffle sells 240 tickets at £1.85 each. 40% of the money raised is given to a local hospital. Work out how much money the hospital receives.

8.A board game has 5 different character pieces and 4 different colour tokens. The dragon piece can only be used with the gold token. Work out how many different combinations of one character piece and one colour token are possible.

9.In a box of chocolates 5/8 are milk chocolates and the rest are dark chocolates. Work out the number of dark chocolates as a fraction of the number of milk chocolates.

10.Work out (4 × 10³) × (3 × 10¹). Give your answer in standard form.

11.In a music collection, the ratio of pop albums to rock albums is 5 : 3. Work out the number of rock albums as a fraction of the number of pop albums.

12.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

13.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

14.During one night on a mountain, four hikers each recorded the temperature they felt: Ben −6 °C, Priya −2 °C, Sam −9 °C, Alex 1 °C. Work out the difference between the coldest and the warmest of these four temperatures.

15.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.