Number worksheet — GCSE Higher

1.A circle has a circumference of 8π cm. Work out the exact area of the circle in terms of π.

2.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

3.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.

4.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.

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

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

7.Write down the reciprocal of 0.2

8.3/5 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.

9.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

10.Work out 3 × (−2)² − 5

11.Three-digit numbers are made using the digits 2, 3, 4, 6, 8 and 9. No digit may be used twice in the same number. Work out how many of these three-digit numbers are odd.

12.Write 0.36 as a fraction in its simplest form.

13.Work out (−3) × 4 + 2 × (−5)

14.A photograph uses 4 × 10⁶ bytes of storage. A memory card holds 3.2 × 10¹⁰ bytes. Work out how many of these photographs the card can hold. Give your answer in standard form.

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