Number worksheet — GCSE Higher

1.Work out 6² − 4².

2.Which of these decimals lies between 1/4 and 2/5?

3.Work out the value of (1/3)⁻²

4.Oliver drives 95 km at an average speed of 50 km/h. Work out an estimate for the time the journey takes, by rounding the distance to the nearest 100 km.

5.Last year a company made a profit of £5,200,000. Write this amount in standard form.

6.Work out 4368 ÷ 12.

7.Work out 3 × (−2)² − 5

8.A van has a mass of 2,000 kg, correct to 1 significant figure. Using m for the mass of the van in kilograms, write down the error interval for m.

9.A country has an area of 25,000,000 hectares. Write this area in standard form.

10.In a school, 3/5 of the students study French. Of these students, 2/3 also study Spanish. What fraction of all the students study both French and Spanish?

11.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.

12.A number, y, is equal to 8.2 when rounded to 1 decimal place. Write down the error interval for y.

13.Work out (−6) + (−4) × 3

14.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.

15.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.