Number worksheet — GCSE Foundation

1.A jar of jam costs £2.35. Tom buys 3 jars. He says the total cost is more than £7. Work out the exact total cost, and state whether Tom's claim is correct.

2.Insert one pair of brackets into 2 + 3 × 5 − 1 so that the calculation is equal to 24. Which calculation is correct?

3.At a book fair the ratio of fiction books to non-fiction books is 4 : 5. Of the non-fiction books, 3/5 are about history. Work out the fraction of all the books at the fair that are history books.

4.Work out 2 × (−3 + 7)

5.A recipe for one cake needs 2/3 of a cup of sugar. Priya has 3 1/2 cups of sugar. Work out how many complete cakes she can make.

6.A fabric is dyed blue and yellow in the ratio 3 : 5. A tailor uses 1.5 m of blue fabric and the matching amount of yellow fabric needed for the ratio. Work out the total length of fabric used.

7.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.

8.Write 200 as a product of its prime factors, using index notation.

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

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

11.Work out 5⁰ + 5¹ + 5²

12.In standard form, 2,000 is written as 2 × 10ⁿ. Write down the value of n.

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

14.Work out the value of 5³.

15.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.