Number worksheet — GCSE Foundation

1.3.4 × 10⁵ is written as an ordinary number. Work out this number.

2.Work out an estimate for 113 + 491, by rounding each number to the nearest 100.

3.Work out √144

4.Work out −(−3)⁴ + (−3)³

5.For any two whole numbers, the product of the numbers is equal to the product of their highest common factor and their lowest common multiple. The highest common factor of 6 and 8 is 2, and 6 × 8 = 48. Work out the lowest common multiple of 6 and 8.

6.In a fruit basket the ratio of bananas to oranges is 2 : 5. What fraction of the fruit are oranges?

7.Which one of these statements about negative numbers is true?

8.A sponsored walk is 36 km long. Aisha has completed 8/12 of the walk. Work out how far she has walked.

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

10.Jack buys 3 books, each costing £4.25, and pays with a £20 note. Work out how much change he receives.

11.Simplify x⁶ ÷ x²

12.Round 4,685 to the nearest 100.

13.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

14.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

15.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.