Number worksheet — GCSE Foundation

1.Simplify 3² ÷ 3⁵, giving your answer as a single power of 3.

2.Which of these numbers is the largest: −9, −7, −4, −2?

3.Given that 2⁵ = 32, work out 2⁶.

4.Work out 3.7 × 24.

5.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

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

7.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

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

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

10.Work out 3/8 of 96.

11.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

12.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.

13.A market trader buys 8 melons at £1.35 each. He sells all of them for a total of £15.60. Work out his profit.

14.Estimate the value of √45, giving your answer to the nearest whole number.

15.A grain of fine sand has a mass of 0.001 grams. Write this mass in standard form.