Number worksheet — GCSE Foundation

1.A student always writes the digits after the decimal point over a denominator of 100, whatever the number of decimal places. Using this wrong rule, they convert 0.9 to a fraction. Work out the correct fraction that 0.9 is equal to, giving your answer in its simplest form.

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

3.Put these three numbers in order of size, starting with the smallest: 3/8, 0.4, 0.35

4.Write down the symbol that makes this statement true: 0.45 ___ 0.5

5.Work out an estimate for 588 ÷ 31, by rounding each number to 1 significant figure.

6.Write 0.35 as a fraction in its lowest terms.

7.n is a whole number and 2 ≤ n < 6. Write down all the possible values of n.

8.Work out √(4 × 9)

9.A student writes 0.08 as the fraction 8/10, reading the 8 as if it stood in the tenths column and ignoring the zero. Work out the correct fraction that 0.08 is equal to, giving your answer in its simplest form.

10.A garden has flowers, herbs and vegetables in the ratio 2 : 3 : 4. What fraction of the garden is not vegetables?

11.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.

12.Write 0.875 as a fraction in its simplest form.

13.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20

14.Write down the symbol that makes this statement true: −9 ___ −4

15.Two fair six-sided dice are rolled and their scores are added together. By listing the possible totals systematically, work out how many different totals are possible.