Level 3
A pool measuring 50 m x 25 m x 2 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 25 minutes.
  1. What fraction of the pool was filled with water at the end of 24 minutes? Express the answer in the simplest form.
  2. How many litres of water was drained out of the pool at the end of 10 minutes?
4 m
Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
3 m
Level 3
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
  1. How much did Leonard have left in the end?
  2. Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
5 m
Level 3 PSLE
Matthew spent 37 of his money to buy 6 identical pens. He spent the rest of his money to buy another 4 such pens and 3 identical files.
  1. What fraction of Muthu's money was spent to buy the 3 files? Give your answer in the simplest form
  2. For every 5 files bought, 1 additional file was given free. How many files would Matthew get in total if he were to spend all his money to buy files only?
4 m
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
4 m
Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was 25 the total number of supporters from Thailand.
  1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
  2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?
5 m
Level 2
Suresh has a mass of 45 kg. Dinesh is 3 kg lighter than Suresh.
  1. What is Dinesh's mass?
  2. Express Dinesh's mass as a fraction of Suresh's mass. Give your answer in its lowest terms.
4 m
Level 2
The total mass of Shan and Tony is 105 kg. Shan weighs 15 kg more than Tony.
  1. Find Tony's mass.
  2. Express Tony's mass as a fraction of Shan's mass in its simplest form.
4 m
Level 3
Mr Ahmad had 240 apples. He sold 60 of them and the rest were shared equally among his 4 friends.
  1. What fraction of the apples did his friends receive?
  2. How many apples did each friend get?
4 m
Level 3 PSLE
The table shows the prices of tickets for a soccer match.
The number of adult tickets sold was 5 times the number of child tickets sold. 58 of the adult tickets sold were for adults aged below 60 years. A total of $7020 was collected from the sale of tickets.
  1. What fraction of the tickets sold were for adults aged 60 years and above? Give your answer in the simplest form.
  2. What was the total number of tickets sold to adults?
4 m