Number worksheet — GCSE Foundation

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

2.Work out an estimate for 6.8 × 41, by rounding each number to 1 significant figure.

3.A company sells 4 × 10³ items per day, each priced at £2.50. It operates for 3 × 10² days a year. Work out the company's total revenue for the year. Give your answer in standard form.

4.Work out −7 − (−3).

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

6.A supermarket sells apples at £1.85 per kg. Anna buys 3.6 kg of apples. Estimate the cost by rounding each number to 1 significant figure before multiplying. Work out Anna's estimate.

7.Work out the value of ∛125.

8.At a bus station one bus leaves every 6 minutes and another leaves every 9 minutes. The two buses leave together at the start of the day. Work out how long it is until they next leave together.

9.Work out the value of √(16 + 9)

10.Ava measures a metal rod and records its length as 15 cm, correct to the nearest centimetre. Ben measures the same rod and records its length as 14.8 cm, correct to the nearest 0.1 cm. Decide whether both records can be correct, and give a reason for your answer.

11.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.

12.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

13.A café offers sandwiches with one filling from 5 choices and one type of bread from 4 choices. Cheese and mustard, which is one of the 5 fillings, is not available on gluten-free bread, which is one of the 4 breads. Work out how many different sandwiches are possible.

14.Work out 4π + 2π, giving your answer as a multiple of π.

15.A circle has a diameter of 10 cm. Work out the exact circumference of the circle, in terms of π.