Number worksheet — GCSE Foundation

1.Work out 2 × 3 × 5 + 1 and decide whether the result is a prime number.

2.Work out the total cost of 3 pens at 45p each and one notebook at £2.35. Give your answer in pounds.

3.A machine fills bags of sugar and shows the mass of each bag to the nearest 10 g. A checker rejects any bag whose actual mass is less than 996 g. One bag shows a mass of 1,000 g on the machine. Decide whether this bag could be rejected, and give a reason for your answer.

4.Work out (6 × 10⁷) + (3 × 10⁶). Give your answer in standard form.

5.Work out (−36) ÷ (−6) × 2

6.Round 592.5 to the nearest 10.

7.A bag of flour is labelled 1.5 kg, correct to the nearest 0.1 kg. The true mass of the flour is m kg. Which inequality gives all the possible values of m?

8.Work out 36 ÷ (2 × 3)

9.Which of these is written correctly in standard form?

10.A digital timer truncates every time to 1 decimal place. It shows a swimmer's time for one length as 12.3 seconds. Using t for the swimmer's actual time in seconds, write down the error interval for t.

11.Round 4,685 to the nearest 100.

12.Which of these statements about −0.7 and −0.25 is true?

13.Round 3.947 to 2 decimal places.

14.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.

15.Work out (−3) × 4 + 2 × (−5)