Number worksheet — GCSE Foundation

1.A plank of wood is 5 1/4 m long. Pieces of length 3/4 m are cut from it. Work out how many complete pieces of 3/4 m can be cut from the plank.

2.A square petri dish has an area of 121 mm². A scientist wants to know its side length. Work out the side length of the dish.

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

4.In a school long jump competition Priya's jump is recorded as 3.8 m and Nadia's jump is recorded as 3.9 m, each correct to the nearest 0.1 m. Priya says she may have jumped further than Nadia. Decide whether Priya is right, and give a reason for your answer.

5.To estimate the cost of buying 38.7 m of rope at £21.40 per metre, both numbers are first rounded to 1 significant figure. Work out the estimate.

6.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

7.Simplify x⁵ × x³ ÷ x², giving your answer as a single power of x.

8.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

9.Round 4,685 to the nearest 100.

10.Write 0.875 as a fraction in its simplest form.

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

12.Write 0.35 as a fraction in its lowest terms.

13.4ˣ = 64. Work out the value of x.

14.Postage on a parcel is calculated as £4.60, correct to the nearest 20p. Which of these could not be the actual cost of the postage?

15.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.