Level 3
Joshua placed a toy in an empty rectangular tank 150 cm long and 50 cm wide. He then filled the tank with water flowing from a tap at a rate of 5 ℓ per minute. It took 3 minutes to fill the tank to a depth of 6.5 cm to cover the toy completely. Find the volume of the toy. Express your answer in cm3.
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
What is the volume of water needed to fill up the tank to the brim?
Water is added to the tank at a rate of 12 litres per minute. At this rate, how long will it take to fill the tank completely? Give your answer in this format. (Eg 1 h 20 min)
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Level 3
Tank L is a cubical container of edge 28 cm. It is completely filled with water. Tank M is a rectangular tank measuring 54 cm by 24 cm by 25 cm. It is filled with water flowing from a tap at a rate of 1.3 ℓ per minute. 5 minutes later, the tap is turned off.
Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
All the water in Tank L is then poured into Tank M without spilling. How much more water is needed to fill Tank M completely? Give your answer in litres.
Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
Find the volume of water in the tank at first.
A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
Level 3 A cubical tank of edge 30 cm contained some water to a height of 12 cm.
Find the volume of water in the tank at first.
A tap was then turned on for 20 minutes to fill the tank with water at a rate of 0.6 ℓ per minute.
How much more water was needed to fill the tank to the brim when the tap was turned off? Leave your answer in litres.
Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was 56 filled with water.
What was the volume of the water in the tank in litres?
A tap was used to drain the water from the tank at a rate of 4 ℓ per minute. The tap was turned off when the tank was 13 filled with water. How long did it take to drain the water?
Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was 56 filled with water.
What was the volume of the water in the tank in litres?
A tap was used to drain the water from the tank at a rate of 4 ℓ per minute. The tap was turned off when the tank was 13 filled with water. How long did it take to drain the water?
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.
How much fruit juice can each jug hold? Express your answer in mℓ.
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)
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 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?
