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?
4 m
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.
3 m
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.
3 m
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
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?
3 m
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.
4 m
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.
  1. How long did it take for Kenny to catch up with Mike?
  2. What distance would Mike have jogged when Kenny caught up with him? Express your answer in meters.
3 m
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 long would the three of them take to build the same toy plane?
4 m
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?
3 m
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?
3 m