Westminster International School | Term 1, 2026
Instructions: Answer all questions. You may use a calculator.
(1 mark)
1. The Earth has a surface area of approximately 510 100 000 km².
Write this surface area in standard form.
km²
(2 marks)
2. Work out $\dfrac{5}{12}$ of $132.
$
(3 marks)
3. Lenny makes 400 pizzas for a large event.
$\dfrac{3}{8}$ of the pizzas are Sicilian style.
23% of the pizzas are four cheese style.
The rest of the pizzas are all ‘Lenny’s special deluxe’ style.
Calculate how many pizzas are Lenny’s special deluxe style.
(1 mark)
4. Write $4.59 as a percentage of $3.40.
%
(2 marks)
5. Write $24.60 as a fraction of $2870.
Give your answer in its lowest terms.
(2 marks)
6. In 2018, Gretal earned $32 000. She paid tax of 24% on these earnings.
Work out the amount she paid in tax in 2018.
$
(2 marks)
7. The Earth has a surface area of approximately 510 100 000 km². Water covers 70.8% of the Earth’s surface.
Work out the area of the Earth’s surface covered by water.
km²
(1 mark)
8. Write $4^{-3}$ as a decimal.
(1 mark)
9. Calculate $0.125^{-\frac{2}{3}}$.
(2 marks)
10. Simplify $\sqrt{32} + \sqrt{98}$.
(1 mark)
11. Write $1.92 as a percentage of $1.60.
%
(4 marks)
12. At the start of a particular year, an animal shelter had a total of 528 kg of rabbit food.
$\dfrac{5}{16}$ of the food was used in January.
$\dfrac{4}{11}$ of the remaining food was used in February.
The rest of the food was all used in March.
Calculate the percentage of the 528 kg of rabbit food that was used in March.
%
(2 marks)
13. Work out $\dfrac{7}{11}$ of 198 kg.
kg
(1 mark)
14. Write 15 060 in standard form.
(3 marks)
15. In a cycling club, the number of members are in the ratio males : females = 8 : 3. The club has 342 females.
i) Find the total number of members. [2]
ii) Find the percentage of the total number of members that are female. [1]
%
(1 mark)
16. The earth’s oceans cover an area of approximately 361 900 000 km².
Write this area in standard form.
km²
(3 marks)
17. The price of a gaming computer is $2440. In a sale, the price is reduced by 15%.
Find the sale price of the gaming computer.
$
(1 mark)
18. Work out $\left(\dfrac{125}{27}\right)^{-\frac{2}{3}}$.
(2 marks)
19. Kristian receives $72. Kristian spends 45% of his $72 on a computer game.
Calculate the price of the computer game.
$
(3 marks)
20. Work out $\dfrac{7}{8} \div 4\dfrac{2}{3}$.
You must show all your working and give your answer as a fraction in its simplest form.
*** END OF PAPER — TOTAL: 38 MARKS ***
