Number worksheet — GCSE Foundation

1.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?

2.Which of these numbers is a common factor of 18 and 24?

3.Simplify x⁷ × x⁴, giving your answer as a single power of x.

4.Two allotments are combined. Allotment A grows vegetables and flowers in the ratio 3 : 2, and has 20 plots in total. Allotment B grows vegetables and flowers in the ratio 1 : 4, and has 20 plots in total. Work out the fraction of all the plots, in both allotments combined, that grow vegetables.

5.By listing systematically, work out how many two-digit multiples of 5 can be made using the digits 0, 3 and 5, if each digit can be used at most once and the number cannot start with 0.

6.In a chess club, 3/8 of the members are girls and the rest are boys. Write down the ratio of girls to boys.

7.Work out the highest common factor of 15 and 25.

8.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

9.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

10.Work out (−2)³ + (−3)² − (−4)

11.Write these three numbers in order, starting with the smallest: 3/5, 0.55, 58%

12.Write down the decimal that is equal to 3/5.

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

14.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.

15.Work out an estimate for 397 ÷ 21, by rounding each number to 1 significant figure.