Number worksheet — GCSE Foundation

1.A shape is made by joining a rectangle measuring 10 cm by 6 cm to a semicircle of diameter 6 cm along one of the rectangle's shorter sides. Work out the exact area of the shape, in terms of π.

2.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

3.Work out 100 − 4 × 5²

4.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.

5.Four students work out 6 + 2 × 3. Which student has worked it out correctly?

6.A sponsored walk raised £350 for charity. 20% of the money raised is spent on equipment. Work out how much is spent on equipment.

7.Two fair six-sided dice are rolled together. One die is red and the other is blue. Work out how many different outcomes are possible.

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

9.A recipe uses 160 g of flour. Sam wants to increase the amount by 1/4. Work out the new amount of flour.

10.Work out (−6) + (−4) × 3

11.A bus leaves the station at 09:47 and arrives at its destination at 11:23. Work out the journey time.

12.Work out √49

13.A number line runs from 0 to 1 and is divided into 4 equal parts. Which mark on the line represents 1/4?

14.Which of these decimals lies between 1/4 and 2/5?

15.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.