Number worksheet — GCSE Foundation

1.Work out (−2)² − 3

2.Round 0.006482 to 2 significant figures.

3.In a class, 1/3 of the pupils are girls. There are 12 girls in the class. Work out how many pupils are in the class.

4.Work out (−6) + (−4) × 3

5.Two bags of mixed nuts are combined. Bag A has peanuts and cashews in the ratio 2 : 3. Bag B has peanuts and cashews in the ratio 1 : 4. Both bags contain the same total number of nuts. Work out the fraction of the combined mixture that is peanuts.

6.Work out (4 × 10⁻³) × (2 × 10⁵). Give your answer in standard form.

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

8.Work out 5⁰ + 5¹ + 5²

9.Work out the value of ∛125.

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

11.A shelf is 60 cm long, correct to the nearest 10 cm. Write down the upper bound for the length of the shelf, in centimetres.

12.Work out (−36) ÷ (−6) × 2

13.A train journey takes 45 minutes, correct to the nearest 5 minutes. Using t for the actual time of the journey in minutes, write down the error interval for t.

14.Sara has a red T-shirt, a blue T-shirt and a green T-shirt. She has black shorts and grey shorts. By listing the combinations systematically, work out how many different outfits of one T-shirt and one pair of shorts she can make.

15.Work out 4368 ÷ 12.