Number worksheet — GCSE Higher

1.A spreadsheet shows that 812 − 397 = 315. Work out an estimate for 812 − 397, by rounding each number to the nearest 100, to check whether the spreadsheet's answer is reasonable.

2.Meera says that 0.7 ÷ 0.1 = 0.07. Work out the correct value of 0.7 ÷ 0.1.

3.A metal cube has a mass of 540 g and a volume of 60 cm³. Work out its density in g/cm³.

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

5.Priya adds 3.6 and 0.45 on paper and writes down 3.65 as her answer. Work out the correct value of 3.6 + 0.45.

6.A rectangular field measures 19.6 m by 48.3 m. Work out an estimate for the area of the field, by rounding each length to 1 significant figure.

7.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.

8.A cinema has 250 seats. 12% of the seats are reserved. Work out how many of the seats are reserved.

9.Work out 2 3/4 − 1 5/6. Give your answer as a fraction in its simplest form.

10.A number is divided by 5, then 6 is subtracted, giving the result −1. Work out the number.

11.Work out an estimate for 6.4 × 3.9, by rounding each number to the nearest whole number.

12.Round 592.5 to the nearest 10.

13.Simplify √8 + √18, giving your answer in the form k√2.

14.Which of these numbers rounds to 0.048 when rounded to 2 significant figures?

15.Tickets to a theme park cost £38.50 for an adult and £19.75 for a child. A family estimates the total cost for 4 adults and 3 children, by rounding each ticket price to the nearest £5. Work out their estimate for the total cost.