Number worksheet — GCSE Foundation

1.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.

2.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.

3.Write 0.25 as a fraction in its simplest form.

4.Work out how many factors 100 has.

5.A restaurant offers a lunch deal of one starter from 5 options, one main from 6 options and one dessert from 3 options. Work out how many different lunch deals are possible.

6.Work out √25 + 4² − 12 ÷ 3

7.A number, n, is a multiple of both 6 and 9. Work out the smallest possible value of n that is greater than 20.

8.Write '3.2 million' as a number in figures.

9.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

10.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

11.Work out −7 − (−3).

12.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

13.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

14.Work out an estimate for 89 + 52, by rounding each number to the nearest 10.

15.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.