Number worksheet — GCSE Foundation

1.Write these three numbers in order, starting with the smallest: 7/20, 0.3, 32%

2.Work out 3/8 of 96.

3.Which one of these statements is true?

4.The highest common factor of two numbers is 4 and their lowest common multiple is 60. One of the numbers is 20. Work out the other number.

5.A gardener has 42 tulip bulbs and 56 daffodil bulbs. She plants them in rows, with every row containing the same number of tulip bulbs and the same number of daffodil bulbs, and no bulbs left over. Work out the greatest number of rows she can plant.

6.On a number line, point A is at −1. Point B is 4 units from point A. Write down the two possible positions of point B.

7.In a car park the ratio of vans to cars is 2 : 7. Work out the number of vans as a fraction of the number of cars.

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.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.

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

11.A circle has a radius of 5 cm. Work out the exact circumference of the circle, in terms of π.

12.Work out 100 − 4 × 5²

13.The mass of a radioactive sample, in grams, n years after it was first weighed is modelled by M = 200 × (1/2)ⁿ. Work out the mass the model gives after 3 years.

14.Work out 36 ÷ (2 × 3)

15.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.