Level 3
At first, 13 of Container B was filled with water and Container C was empty. Then, both taps were turned on at the same time and water from both taps flowed at the same rate of 2.2 litres per minute. Both taps were turned off immediately when Container B was filled to the brim.
  1. How much water was there in Container B at first?
  2. How long did it take for the water from the tap to fill Container B to the brim?
  3. What fraction of Container C was filled with water in the end? Give your answer in the simplest form.
4 m
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
3 m
Level 2
What fraction of the figure is unshaded? (Leave your answer in its simplest form.)
3 m
Level 3
A rectangular tank measuring 50 cm by 36 cm by 27 cm was 34 filled with water. The water was used to fill up some bottles of capacity 2 ℓ each. How many bottles were filled completely?
3 m
Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
3 m
Level 3
A container measuring 25 cm by 16 cm by 48 cm was 13 filled with water at first. James poured some water into the container. In the end, the height of the water level in the container was 20 cm as shown.
  1. How much water did James pour into container? Give your answer in mℓ.
  2. James then poured all the water in the container into several identical jugs. Given that each jug can hold at least 1.25 ℓ of water, what is the least number of jugs he would need?
3 m
Level 3
Ryan owned two shops selling milk tea. Shop A earned 40% more money than Shop B on Monday. On Tuesday, Shop A lost $110 while Shop B earned another $150. In the end, Shop B contributed to 58 of the total earnings of the two shops over the two days operation. How much did Shop A earn over the two days?
4 m
Level 3
Madam Lee bought a sack of rice on Monday and cooked 112 kg of rice everyday. By Sunday, she was 12 kg short of rice. On which day did she cook 35 of the rice in the sack?
3 m
Level 3
Reena bought some fruits. She spent $10 more than 23 of her money on some pears. She then spent $8 more than 20% of the remaining money on some pineapples. Given that she had $16 left,
  1. how much did Reena have at first?
  2. how many kilograms of pineapples did she buy if they cost $2 per kg?
4 m
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
3 m
Level 2 PSLE
Penny and Jake bought a gift for their parents. They shared the cost equally between them. Penny used 38 of her savings while Jake used 12 of his savings. What fraction of their total savings was used to buy the gift?
3 m
Level 3
Jill spent 910 of her money on 20 muffins and 5 croissants. If each muffin costs twice as much as a croissant, how many croissants could Jill buy with the rest of her money?
3 m
Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent 14 of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.
  1. What was the cost of 1 sandwich?
  2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?
5 m
Level 3
Luke bought a refrigerator and a laptop. The original price of the refrigerator was $3200 and the original price of the laptop was half the original price of the refrigerator. Luke was given a 25% discount on the laptop. How much did Luke pay altogether?
4 m
Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was 23 full.
  1. What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
  2. How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
5 m
Level 3
Rachel had 3 times as much money as Paul. After Rachel spent 12 of her money and Paul spent 35 of his money, they had a total of $1615 left.
  1. How much money did Rachel and Paul have altogether at first?
  2. Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent 25 of her money and Charlie deposited 511 of his money into his savings account, Abigail had thrice as much money as Charlie.
  1. Find the amount of money Abigail received from her father.
  2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
5 m
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
4 m
Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m
Level 3
The figure is made up of 3 similar overlapping squares of side 6 cm. The squares touched one another at Corners A, B, C, D and E. Jim shaded the parts where the squares overlapped each other.
  1. Find the area of the unshaded part of the figure.
  2. What fraction of the figure is the shaded part?
3 m