Number worksheet — GCSE Higher

1.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.

2.A cyclist rides at a steady speed of 8 metres per second. Work out this speed in kilometres per hour.

3.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

4.A rectangular tile measures 45 cm by 0.6 m. Work out its area, in square centimetres.

5.Which one of these statements is true?

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

7.Work out ⁴√16

8.Which of these is written correctly in standard form?

9.Work out the value of (1/3)⁻²

10.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

11.Work out 3.7 × 24.

12.Simplify 5⁻² × 5⁴, giving your answer as a single power of 5.

13.A number is multiplied by 4, then 8 is added, giving the result 40. Work out the number.

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

15.A plank has length a = 12 cm and a second plank has length b = 7 cm, each correct to the nearest centimetre. Work out the upper bound of a + b.