Number worksheet — GCSE Foundation

1.A photography studio offers 4 backdrops and 3 outfits for a portrait session. The plain grey backdrop, one of the 4 backdrops, cannot be used with the formal suit outfit, one of the 3 outfits. Work out how many different backdrop-and-outfit combinations are possible.

2.A gym increases its membership price by 1/5. The original price is £60. Work out the new price.

3.A cube-shaped storage box has edges of length 7 cm. A shelf can hold a total volume of 2,000 cm³. Work out the greatest number of these boxes that will fit in that volume.

4.The mass of a parcel is 3 kg, correct to the nearest kilogram. Which of these masses is not possible for the parcel?

5.After a price increase of 10%, a laptop costs £330. Work out the original price.

6.Work out 3/4 − 5/12 exactly, giving your answer in its simplest form.

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

8.The error interval for the mass of a suitcase, m kg, is given as 22.5 ≤ m < 23.5. Write down the mass of the suitcase, correct to the nearest whole number.

9.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.

10.A rectangular patio measures 90 cm by 120 cm. Ben wants to cover it exactly with identical square tiles, as large as possible, with no tiles cut. Work out the side length of the largest square tile he can use.

11.Work out ((−3) + 5) × (−4) − (−6) ÷ 2

12.Work out 3.7 × 24.

13.The density of a type of plastic is 0.9 g/cm³. Work out this density in kg/m³.

14.Round 592.5 to the nearest 10.

15.Work out (5 × 10⁴) ÷ (2 × 10⁻²). Give your answer in standard form.