Level 2 PSLE
At first, Containers A, B and C contained water as shown in Figure 1. Some water from A and B was poured into Container C without spilling. The amount of water left in Container A and B is shown in Figure 2. What would be the amount of water in Container C?
2 m
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
3 m
Level 2 PSLE
Two rectangular tanks are shown. Tank Y contained water to half its height. All the water from Tank Y was poured into Tank Z without spilling. What was the height of the water level in Tank Z?
3 m
Level 2 PSLE
At first, Containers X, Y and Z contained water as shown. Some water from Containers Y and Z was poured into Container X without any spilling over. The amount of water left in Containers Y and Z is shown. What would be the amount of water in Container X?
3 m
Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
3 m
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release 14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
  1. What is the length of Tank A?
  2. How many m3 of water are there in Tank B?
3 m
Level 3
A tank, 110 cm by 100 cm by 70 cm, was completely filled with water. It was used to fill 16 bottles, each 3 litres in capacity. What was the height of the water left in the tank after all the bottles were filled. Round off to whole number.
3 m
Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m
Level 3 PSLE
A and B are two rectangular tanks. The base area of A is 80 cm2 while that of B is 50 cm2 . At first, A contained water to a height of 40 cm and B was empty, as shown.
  1. What was the volume of the water in A at first? 
  2. Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.
3 m
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
3 m
Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
Level 3
The figure shows two tanks. 25% of Tank A is filled with water. Some of this water is then poured from Tank A to Tank B without spilling. The heights of the water level in both tanks are now equal. Find the height of the water level in Tank A after pouring.
3 m
Level 3
The figure is not drawn to scale. Tank A is filled with water to a height of 10 cm. The water in Tank A is poured into 2 rectangular tanks, Tank B and Tank C, such that the heights of the water in the 3 tanks are equal. Find the volume of water poured out of Tank A in litres.
3 m
Level 3
In the diagram not drawn to scale, Tank J and Tank K each has a button that, when pressed, will cause the water to flow out if the water level is higher than the hole. Tank J measures 134 cm by 42 cm by 137 cm. Tank K measures 55 cm by 21 cm by 68 cm. Tank L is 69 cm by 20 cm by 26 cm. Both holes are located at a height of 14 cm from the top of their respective containers. When Tank J is completely filled with water and both buttons are pressed, what will be the final water level in Tank L?
4 m
Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
  1. What was the height of the water level in A?
  2. Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
4 m
Level 3
The figure is not drawn to scale. Tank A and Tank B have base areas of 1500 cm2 and 1000 cm2 respectively. Water was poured into an empty rectangular Tank A until it reached a height of 20 cm. Some of the water was then poured from Tank A into Tank B which contained 1.5 ℓ of water until the height of the water in both tanks were the same.
  1. Find the new height of the water in Tank A.
  2. How many litres of water were poured into Tank B?
4 m
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Level 3 PSLE
The figure shows the amount of water in two rectangular Tanks, A and B, at first.
Ray poured 14 of the water from A into B to fill it to the top, without overflowing.
  1. How much water was there in A at first?
  2. Ray then poured all the water from B into A. 720 cm3 of water overflowed from A. What was the height of A?
5 m
Level 3
A rectangular tank measuring 120 cm by 50 cm by 100 cm is 50% filled with water. 10 identical pails of water that are completely filled are then scooped out from it. The water level drops to 45 cm. The remaining amount of water in the tank is later poured into a container that contains 40 litres of water. The water is then drained out through a tap found at the bottom of the container at 10 litres per minute.
  1. What is the capacity of each pail?
  2. How long did it take to drain the water from the container completely? Answer in terms of minutes.
5 m