Number worksheet — GCSE Foundation

1.Four locations each record a temperature one winter morning. Which of these temperatures is the coldest?

2.In a photo album the ratio of colour photos to black-and-white photos is 9 : 4. Work out the number of black-and-white photos as a fraction of the number of colour photos.

3.Write the fraction 47/50 as a decimal.

4.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.

5.In the number 3.472, work out the value of the digit 7.

6.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

7.Which of these numbers lies between −4 and −1 on a number line?

8.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.

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

10.Write the fraction 9/25 as a decimal.

11.Rice is sold in a 400 g bag for £1.12 and in a 1.5 kg bag for £3.90. Work out how much less the rice in the larger bag costs per kilogram.

12.The length of a pencil is 8.4 cm, correct to 1 decimal place. Using L for the length of the pencil in centimetres, write down the error interval for L.

13.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.

14.A lift has a safe working load of 500 kg. Four people get in the lift and the lift's display records their total mass as 493 kg, correct to the nearest kg. Decide whether the four people are definitely within the safe working load.

15.Write 0.875 as a fraction in its simplest form.