Number worksheet — GCSE Foundation

1.Work out an estimate for 37 × 84, by rounding each number to 1 significant figure.

2.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

3.A speed camera measures a car's speed as 34 mph, correct to the nearest mph. Work out the smallest possible actual speed of the car, in mph.

4.Bella's electricity supplier charges 28.5p per unit (kWh). Last month she used 340 units. Work out the total cost, giving your answer in pounds.

5.Write 45,000 in standard form.

6.Work out 3/8 of 96.

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

8.Write down the value of 7⁰

9.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

10.Tickets for a fairground ride are sold in packs of 6. Tokens for the dodgems are sold in packs of 10. Yusuf wants to buy the smallest number of packs of each so that he ends up with the same number of ride tickets as dodgem tokens. Work out how many ride tickets that is.

11.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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

13.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.

14.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

15.Write down the symbol that makes this statement true: −9 ___ −4