Number worksheet — GCSE Higher

1.The thickness of a sheet of card is 0.02384 cm. Write this thickness correct to 2 significant figures.

2.A plumber charges a call-out fee of £45 and then £28 for each hour she works. She is at a house from 09:15 until 12:45. Work out the total charge.

3.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?

4.A necklace is made from red beads and gold beads in the ratio 7 : 3. What fraction of the beads are gold?

5.Write 7/12 as a decimal, showing clearly which digit is recurring.

6.Work out 35% of 180.

7.Leah measures the length of her classroom with a tape measure marked in centimetres. She writes the length down as 7.3157 m. Give a reason why this is not an appropriate degree of accuracy.

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

9.A padlock code is formed from 3 different digits chosen from 1, 2, 3, 4, 5 and 6 (no digit may be used twice in the same code). Work out how many different codes can be made.

10.Simplify 2³ × 2⁴, giving your answer as a single power of 2.

11.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.

12.Nadia has £84. She spends 3/7 of it on a jacket and the rest on a bag. Work out the ratio of the amount spent on the jacket to the amount spent on the bag, in its simplest form.

13.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.

14.A jumper is reduced by 15% in a sale to a price of £42.50. Work out the original price.

15.Write ∛(x²) as a single power of x.