Number worksheet — GCSE Higher

1.Write these fractions in order, starting with the smallest: 2/3, 3/5, 5/6, 1/2

2.Simplify (y³)⁴, giving your answer as a single power of y.

3.Write down the symbol that makes this statement true: −2/3 ___ −5/6

4.A country's population is 8,340,000, and it is estimated that 1,950,000 of them live in the capital city. By rounding each number to 1 significant figure, work out an estimate for the number of people who do not live in the capital city.

5.Work out the value of 2⁻²

6.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

7.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

8.A rectangular plywood panel measures 2.4 m by 0.75 m. Work out the area of the panel in square metres, giving your answer as a fraction in its simplest form.

9.Work out (5 + 2) × 3²

10.Write 7/12 as a decimal, showing clearly which digit is recurring.

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

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.Work out 1 1/2 ÷ 3/4 exactly, giving your answer in its simplest form.

14.Work out how many factors 100 has.

15.A recipe uses 0.625 kg of flour. Write this mass as a fraction of a kilogram, in its simplest form.