Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If 23 of the pail is filled with water, find
the volume of the pail.
the minimum number of such pails to fill the tank.
Level 3
A tank contained 3.7 ℓ more water than a pail. After some water was poured from the tank to the pail, both the tank and the pail had 6 ℓ of water each. How much water was there in the pail at first?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3 PSLE
David has 8 large cubes and some small cubes. He placed them in a rectangular tank. The tank was filled to the brim exactly. The diagram shows the first layer of cubes.
How many small cubes does David have?
The volume of the tank is 504 cm3. If the large cubes took up 37 of the tank, What is the length of the edge of one small cube?
Level 3
A container holds some water up to a height of 71 cm. When 6 identical plastic balls are put into the container, the water level rises by 18 cm. One plastic ball is then removed from the tank, replaced by one metallic ball. The water level increases to 136 cm.
Find the ratio of the volume of 1 plastic ball to 1 metallic ball.
If the base area of the container is 150 cm2, find the difference in the volume between the metallic ball and the plastic ball. Give the answer in cm3.
Level 2
A pail contained 5 litres of water at first. Miss Tan poured some water from the pail into two containers. Find the amount of water left in the pail. Give the answer in litres and milliliters.
Level 2
A pail contained 5 litres of water at first. Miss Tan poured some water from the pail into two containers. Find the amount of water left in the pail. Give the answer in litres and milliliters.
Level 3
The total volume of water in Watering Can A, Watering Can B and Watering Can C was 205 mℓ. I poured out half the volume of water from Watering Can A, doubled the amount of water in Watering Can B and added 55 mℓ of water into Watering Can C. The ratio of the volume of water in Watering Can A to Watering Can B to Watering Can C is now 5 : 4 : 8. Find the total volume of water in the three watering cans now.
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?
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?
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.
What was the height of the water level in A?
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?
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.
What was the height of the water level in A?
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?
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
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.
Find the new height of the water in Tank A.
How many litres of water were poured into Tank B?
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.
Level 3 A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
Given that the height of the tank is 45 cm, find the volume of water in the tank.
All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
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.
What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.
How long will it take to fill up the tank? Express your answer in min.
What will be the depth of the water in the tank after 2 wooden cubes are removed?
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. 3 wooden cubes each of edge 10 cm, are placed in the tank. The tank is then filled with water flowing from a tap at a rate of 8 ℓ per minute.
How long will it take to fill up the tank? Express your answer in min.
What will be the depth of the water in the tank after 2 wooden cubes are removed?
Level 3
A car uses 9 litres of petrol for every 50 km it travels at an average driving speed is 80 km/h. It uses 6 litres of petrol for every 70 km it travels when it average driving speed is 60 km/h. How much petrol will the car consume use for a journey which lasts 12 h if it travels at 80 km/h for 5 h and 60 km/h for the rest of the journey?
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.
What fraction of the pool was filled with water at the end of 24 minutes? Express the answer in the simplest form.
How many litres of water was drained out of the pool at the end of 10 minutes?
Level 3
A rectangular container 100 cm by 50 cm by 45 cm was 20% filled with water. A tap was turned on to fill it up with water at a rate of 9 ℓ /min. Every 30 seconds after the tap was turned on, an iron ball of volume 500 cm3 was added to the container. How many iron balls of the same volume would there be in the container when the container is 100% filled with water?
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.
What is the height of water in the tank now?
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.
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.
What is the height of water in the tank now?
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.
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
Level 3
A tank measuring 50 cm by 20 cm by 22 cm, with some cubes placed inside, was filled with 3.875 ℓ of water to the height as shown in Figure 1. Some water was then added into the tank to the height as shown in Figure 2. The total volume of water in the tank then became 8.375 ℓ. What was the volume of one cube?
