Number worksheet — GCSE Higher

1.Work out how many factors 36 has.

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

3.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

4.4ˣ = 64. Work out the value of x.

5.A shop assistant says that 7.2 × 3.9 = 56.16. Work out an estimate for 7.2 × 3.9, by rounding each number to the nearest whole number, to show that the assistant’s answer cannot be correct.

6.Work out 3 1/5 + 1 2/3. Give your answer as a mixed number in its simplest form.

7.Simplify ⁴√(16a⁸b¹²)

8.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.

9.Work out (−3) × 4 + 2 × (−5)

10.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.

11.A pizza is cut into 12 equal slices. Ben eats 5 slices and Mia eats 3 slices. What fraction of the pizza is left, giving your answer in its simplest form?

12.A length, L cm, has the error interval 24.5 ≤ L < 25.5. Write down the degree of accuracy to which the length was measured.

13.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

14.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.

15.A space probe is 7.5 × 10⁸ km from Earth. Write this distance as an ordinary number.