Number worksheet — GCSE Foundation

1.A restaurant adds a service charge of 15% to a bill of £120. Work out the service charge.

2.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.

3.Work out (2/3)² + (1/2)². Give your answer as a fraction.

4.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

5.A newspaper reports that 48,000 people attended a festival. The figure is correct to the nearest thousand. Which statement about the number of people who attended must be true?

7.Work out 8% of £250.

8.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.

9.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

10.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

11.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.

12.Work out how many factors 100 has.

13.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?

14.The diameter of an artificial silk fibre is 4 × 10⁻⁶ metres. One nanometre is 10⁻⁹ metres. Work out the diameter of the fibre in nanometres.

15.Work out the value of √64.