Number worksheet — GCSE Foundation

1.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

2.Light travels at 2.998 × 10⁸ metres per second. A distant object in space is 3.1 × 10¹⁵ metres from Earth. Work out an estimate for the number of seconds light takes to travel from the object to Earth, by rounding each number to 1 significant figure.

3.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.

4.Work out 3 + 4 × 2²

5.Which one of these statements about negative numbers is true?

6.Work out 3π − π, giving your answer as a multiple of π.

7.A jacket normally costs £65. In a sale it is reduced by 20%, and the shop then takes a further £5 off at the till. Work out the final price.

8.Work out 15% of £40, using 10% and 5%.

9.Is 120 divisible by 5? Give a reason for your answer.

10.A bag holds 50 counters. 2/5 of them are red and the rest are blue. 5 red counters are then taken out of the bag. Work out the new ratio of red counters to blue counters. Give your answer in its simplest form.

11.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

12.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

13.A spinner has 4 colours and a coin has 2 sides. Work out how many different outcomes are possible when the spinner is spun once and the coin is tossed once.

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

15.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.