Number worksheet — GCSE Foundation

1.Work out (−2)³ + (−3)² − (−4)

2.Work out √25 + 4² − 12 ÷ 3

3.4ˣ = 64. Work out the value of x.

4.Work out the lowest common multiple of 4 and 6.

5.Write these three numbers in order of size, starting with the smallest: 0.7, 3/4, 0.72

6.Freya uses her calculator to work out 7² and writes down 14. Work out the correct value of 7².

7.Write down the value of 7⁰

8.In a science experiment, the temperature of a liquid is recorded as 18.6 °C, correct to the nearest 0.2 °C. Write down the error interval for the actual temperature, T °C.

9.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

10.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

11.Grace drinks 1/3 of a bottle of water in the morning and another 1/3 of the same bottle in the afternoon. Work out what fraction of the bottle she has drunk altogether.

12.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.

13.The number of visitors to a museum on Saturday is given as 1,800, correct to the nearest 100. Which of these could not be the actual number of visitors?

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

15.Two-digit numbers are formed using the digits 2, 5, 7 and 8, and each digit may be used only once in a number. Work out how many of these two-digit numbers are even.