Level 3
A large cubical container of side 60 cm was filled with fruit juice up to 30% of its capacity. After 5 full jugs of fruit juice were removed from it, the level of fruit juice in the container dropped by 14 cm. The remaining fruit juice was then drained out through a tap found at the bottom of the container at a rate of 3 litres per min.
  1. How much fruit juice can each jug hold? Express your answer in mℓ.
  2. How long would it take to completely drain the fruit juice from the container through the tap? Express your answer in min. (1 ℓ = 1000 cm3)
4 m
Level 3
The following tank has a square base of side 40 cm. It is filled with water to a height of 8 cm. If 32 ℓ more of water is needed to fill the tank completely, what is the height of the tank?
3 m
Level 3
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
  1. How much more water is needed to fill it to the brim?
  2. The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 m
Level 3
35 of a rectangular tank with a base area of 800 cm2 is filled with water. Another 2.4 ℓ of water are needed to fill this tank to its brim. What is the height of the water in the tank?
3 m
Level 3
The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
3 m
Level 3
A rectangular tank is filled with water to a height of 4 cm. Its rectangular base measures 25 cm by 8 cm. When 12 litres of water are poured into the tank, the water level rises to 25 of the height of the tank. Find the height of the tank.
3 m
Level 2
Poles are placed at equal distances along a street. The distance between any two poles is 90 cm. If the street is 2340 m long, how many poles are needed altogether?
2 m
Level 3
A tank with a square base of 10 cm was 13 filled with water After another 4500 cm3 of water was poured into the tank, it became 34 full.
  1. Find the capacity of the tank in litres.
  2. Find the final height of the water in the tank.
3 m
Level 2 PSLE
Joseph has thrice as many 20-cent coins as 50-cent coins. If he has $66 in total, how many 20-cent coins does Joseph have?
3 m
Level 3
Tank A was 15 filled with water. After 15000 cm3 of water was added to Tank A, it became 710 full.
  1. Find the volume of Tank A in litres.
  2. Find the volume of water in Tank A in the end. Give your answer in litres.
3 m
Level 2
A rectangular tank measuring in 40 cm by 15 cm by 20 cm is 25 filled with water. How much water is needed to fill the tank to 50% of the capacity? Give your answer in litres.
3 m
Level 3
A laundromat hired a delivery service to move its machines to a new location. The mass of all its inventory 37800 kg.

The laundromat hired the delivery service from 5 p.m. to 7.20 p.m. Find the total amount that was paid for the delivery service.
3 m
Level 3
Tank A is a cubical tank of side 8 cm. It is 34 filled with water. The water is then poured into Tank B measuring 10 cm by 12 cm by 15 cm.
  1. Find the volume of water in Tank A at first.
  2. How much more water is needed to fill Tank B to the brim? Give your answer in litres.
3 m
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 2
If 200 g of salmon cost $6, how much will 2 kg of salmon cost?
2 m
Level 2
The average mass of 2 grapefruits and 5 jackfruits is 2.4 kg. The average mass of each jackfruit is 2 kg. The difference in mass between the 2 grapefruits is 90 g. Find the mass of the heavier grapefruit. (Give your answer in kg and g.)
3 m
Level 3
Cubical Tank P has a length of 36 cm and is 79 filled with water. Some of the water is poured into an empty rectangular fish tank measuring 50 cm long, 18 cm wide and 26 cm high until it is completely full.
  1. What is the volume of water in Tank P at first? Give your answer in cm3
  2. What is the volume of water left in Tank P? Give your answer in litres.
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
A rectangular tank, measuring 30 cm by 25 cm by 40 cm, was filled with water. Ben poured all the water into 1.5 ℓ bottles. After filling 4 bottles, how many more bottles could Ben fill?
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