Number worksheet — GCSE Higher

1.Work out 4368 ÷ 12.

2.Maya buys 4 plants at £3.20 each and a bag of compost for £6.75. She pays with a £20 note. Work out her change.

3.Without using a calculator, estimate the value of √70 × ∛65, giving your answer to 1 significant figure.

4.Write ∛(x²) as a single power of x.

5.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

6.A rope is measured as 15 m, correct to the nearest metre. Write down the error interval for the true length, l, of the rope.

7.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.

8.Two-digit numbers are made using the digits 1, 2, 3 and 4, and no digit may be used twice in the same number. Work out how many different two-digit numbers can be made.

9.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

10.The distance from the Earth to the Moon is 384,000 km. Write this distance in standard form, in kilometres.

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

12.A box stands on a table. The box exerts a force of 240 N on the table, and the base of the box has an area of 0.8 m². Work out the pressure the box exerts on the table, in N/m².

13.Which of these statements about −0.7 and −0.25 is true?

14.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

15.Work out an estimate for 8,900 ÷ 29, by rounding each number to 1 significant figure.