Number worksheet — GCSE Higher

1.Chloe wants to work out 3 1/4 − 1 2/3. She converts both mixed numbers to twelfths, then subtracts the whole numbers and the fraction parts separately, without checking whether she needs to exchange first. Work out the correct value of 3 1/4 − 1 2/3, giving your answer as a mixed number in its simplest form.

2.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

3.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?

4.Which one of these statements is true?

5.A semicircle has a diameter of 8 cm. Work out the exact area of the semicircle, in terms of π.

6.Work out the value of √49 + ∛27

7.Work out 3 × (−2)² − 5

8.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

9.Round 0.006482 to 2 significant figures.

10.Work out ⁴√16

11.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

12.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.

13.Ten players enter a chess tournament. Every player plays every other player exactly once. Work out how many games are played in the tournament.

14.The number 36 can be written as 2² × 3², and the number 84 can be written as 2² × 3 × 7. Work out the highest common factor of 36 and 84.

15.A number, x, is truncated (not rounded) to 1 decimal place and the result is 6.2. Write down the error interval for x.