Number worksheet — GCSE Higher

1.Which one of these statements is true?

2.Write 0.325 as a fraction in its simplest form.

3.Sam compares 0.6 and 5/8 by comparing the digit 6 with the digit 5, and says that 0.6 is the larger number. Convert 5/8 to a decimal to find the correct larger value.

4.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.

5.The number 24 can be written as 2³ × 3, and the number 60 can be written as 2² × 3 × 5. Work out the lowest common multiple of 24 and 60.

6.A quarter-circle has a radius of 6 cm. Work out the exact perimeter of the quarter-circle, giving your answer in terms of π.

7.4ˣ = 64. Work out the value of x.

8.Work out how many factors 36 has.

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

10.Without using a calculator, estimate √20 × √12, giving your answer to the nearest whole number.

11.Work out 4368 ÷ 12.

12.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.

13.Priya has 24 red beads and 36 blue beads. She makes identical bracelets, using every bead and with none left over. Work out the greatest number of bracelets she can make.

14.Work out 5/6 × 2/9, giving your answer in its simplest form.

15.Work out √(4 × 9)