Number worksheet — GCSE Higher

1.Find the missing number: 17 × ▢ = 391

2.Write 12 as a product of its prime factors.

3.Light travels at 3 × 10⁸ metres per second. Work out how far light travels in 2 × 10⁻⁶ seconds. Give your answer in standard form.

4.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

5.Work out √225 ÷ 3.

6.Work out (−6) + (−4) × 3

7.A charity shop buys a coat for £24 and sells it for a profit that is 3/8 of the buying price. Work out the selling price.

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

9.By first working out 2.9², then squaring your result, estimate 2.9⁴ to 2 significant figures.

10.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.

11.An allotment plot is divided into vegetables and flowers in the ratio 9 : 4. A third of the vegetable section is used for potatoes. What fraction of the whole plot is potatoes?

12.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

13.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

14.A school orders 187 packed lunches for a trip. Each packed lunch costs £4.85. The school has £900 to spend. By rounding each number to 1 significant figure, work out an estimate for the total cost and decide whether £900 is enough.

15.3/5 of the students in a year group walk to school. 90 students walk to school. Work out the total number of students in the year group.