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
At 6 a.m., Prince and John left Park A and drove towards Park B at average speeds of 105 km/h and 60 km/h respectively. Upon reaching Park B, Prince rested for 2 hours. He then headed back for Park A at an average speed of 105 km/h along the same route. Prince and John met each other on their way at 12 noon.
How far had Prince covered when he met John on the way?
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
At 9.30 a.m., a bus started travelling at an average speed of 60 km/h. At 11:30 a.m., a van started from the same place travelling on the same road. If the van took 3 hours to catch up with the bus, find the speed of the van.
Level 3
Steven and Ivan started running a 10-km cross-country race together at a speed of 6 km/h and 12 km/h respectively. At the halfway mark, Ivan took a rest until Steven caught up with him. How long did Ivan rest? Express the answer in min.
Level 3
Sam and Ian have a bicycle race. Sam cycles at a speed of 12 km/h. Ian cycles at a speed of 16 km/h. If Ian lets Sam start 40 min before him, how long will Ian take to catch up with Sam?
Level 3
Jim can paint 1 house in 6 days. With Ron's help, they can paint the same house in 3 days. How many days would Ron take to paint the house alone?
Level 3
Sam and Bryan are asked to give out the same number of leaflets. Sam can give out the leaflets in 9 hours while Bryan can give out the leaflets in 6 hours. Both workers started giving out the leaflets at the same time for 5 hours. After 5 hours, Sam gave out 180 leaflets. How many leaflets can Bryan give out in 5 hours?
Level 3 A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
Level 3
Kenny and Mike started jogging from the same point. Mike started jogging 4 minutes earlier than Kenny. Kenny's jogging speed was 500 m/min and Mike's jogging speed was 300 m/min. They went in the same direction and did not change their speeds throughout.
How long did it take for Kenny to catch up with Mike?
What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
Level 3
Ron and Benny take 4 days to assemble a toy plane. Benny and Jerry take 6 days to build the same toy plane while Ron and Jerry take only 3 days. How many complete days would the three of them take to build the same toy plane?
Level 3 PSLE
Blake and Steve ran in a race. When Steve had completed the race, Blake had only run 58 of the distance. Steve's speed was 75 m/min faster than Blake's speed. Both of them did not change their speeds throughout the race. What was Blake's speed in m/min?
Level 3
Mr Gopi uses two pipes to fill a pool. The first pipe can fill the pool in 6 h. The second pipe can fill the pool in 8 h. Two house after both pipes are turned on, Mr Thomas accidentally opens the pipe which can drain the pool completely in 12 h. With the 3rd pipe now remained open, what is the total time taken by Mr Gopi to fill the pool completely? Express your answer in h.
Level 3
At 10 a.m., Mrs Leng used two taps to fill up a tank. Tap A could fill the tank in 4 h. Tap B could fill the tank in 3 h. 1 hour after both taps were turned on, Tap B was faulty and stopped working. Mrs Leng accidentally opened Tap C which could drain a full tank completely in 2 h. Instead of being filled, the tank was emptied. How long did it take for the tank to be completely empty? Express your answer in mixed number.
Level 3
A tank with a base measuring 60 cm by 10 cm had two leaks at 400 cm3 per minute and 300 cm3 per minute respectively. If the water level was 15 cm originally, what would be the height of water in the tank after 6 minutes?
Level 3
Joe took 12 min to cycle from his home to a park for his morning exercise. After the exercise, he took 60 min to walk the same route home. The difference between his cycling and walking speed was 40 km/h. How far was Joe's home from the park?
Level 3
A rectangular container measuring 55 cm by 50 cm by 23 cm was 110 filled with water. Mary turned on a tap at 9.36 p.m. to fill more water into the container. She turned off the tap at 9.59 p.m. The container was 910 filled with water. Given that the water flowed out of the tap at the same rate, find the volume of water that flowed out of the tap in a minute. Give your answer in litres.
Level 3
King took 6 hours to drive from Point A to Point B while Jack took 4 hours to drive from Point B to Point A. When they met each other, they were 48 km away from the midpoint of Point A and Point B. What was King's speed?
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
Level 3
The figure shows an empty rectangular tank with a capacity of 35 ℓ. The tank has a height of 25 cm. Tap A filled the tank at a rate of 1.8 ℓ per minute. Tap B drained water from the tank at a rate of 1.1 ℓ per minute. Both taps were turned on for 20 minutes and then turned off.
What is the base area of the tank?
After both taps were turned off, how much more water is needed to fill the tank completely? Give your answer in litres.
