Number worksheet — GCSE Higher

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

2.Hannah works out 3.1 × 19.6 on her calculator and writes down 6.076. Work out an estimate for 3.1 × 19.6, by rounding each number to 1 significant figure.

3.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.

4.By considering fourth powers, work out which two consecutive integers ⁴√200 lies between.

5.Work out 100 − 4 × 5²

6.Round 592.5 to the nearest 10.

7.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

8.Simplify ⁴√(16a⁸b¹²)

9.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.

10.Work out √144 − 2 × 3 + √25

11.Work out (−2)² − 3

12.Work out the value of 2⁻⁴

13.Find the missing number: ▢ ÷ 15 = 24

14.An allotment is divided into two plots in the ratio 2:3. The larger plot has an area of 18 m². Work out the fraction of the total area taken up by the smaller plot.

15.A jug holds 1.8 litres of juice. Priya pours out 3/4 of a litre to fill a glass. Work out how much juice is left in the jug, in millilitres.