Level
A rectangular tank 40 cm long, 20 cm wide and 36 cm high was 56 filled with water.
  1. What was the volume of the water in the tank in litres?
  2. 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?
4 m
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.
  1. How far had Prince covered when he met John on the way?
  2. How far apart were the two parks?
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
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
Water flows into a tank at the rate of 45 ℓ per minute. After 10 min, the tap is turned off and the tank is 0.6 filled with water.
  1. How much more water is needed to fill it to the brim?
  2. The water in the tank is then poured into containers each 1.5 m long, 0.3 m wide and 10 cm high. What is the minimum number of containers needed?
4 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
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
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?
4 m
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?
4 m
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