31 P5.SP.JC.22020525
Level 3
An empty tank measures 50 cm by 20 cm by 35 cm. Water flows into the tank from Tap A at a rate of 25 ℓ per minute. At the same time, water drains from the tank from Tap B at a rate of 18 ℓ per minute. How long would it take to completely fill the tank?
3 m
Rate more than 1 object Duration Volume of cuboid Filling tank Units conversion
32 P5.SP.JM.17083112
Level 3
A tank measuring 30 cm by 24 cm by 20 cm was being filled by two taps. Tap X delivered water at a rate of 140 cm3 per minute while Tap Y delivered water at a rate of 100 cm3 per minute. How long did the 2 taps take to fill the tank completely? Express your answer in min.
3 m
Rate more than 1 object Duration Volume of cuboid Filling tank
33 P5.DA.JM.17083128
Level 3
The line graph shows the distance a driver was from his destination which was 60 km away over a period of time.
  1. How long did he take to reach his destination?
  2. At 10 00, how far had he travelled?
  3. How far did the driver drive during the period of his fastest speed?
3 m
Line graph Duration
34 P5.SP.JM.17083109
Level 3
John can paint a house in 8 days. Alex can paint the same house in 10 days. How many days would they take to paint the house together?
4 m
Rate 1 object Duration Fraction of a whole F 4 operations
35 P5.SP.NK.23050637
Level 3
The figure not drawn to scale shows a cubical tank which is 37 filled with water.
  1. What is the volume of water needed to fill up the tank to the brim?
  2. 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)
4 m
Rate 1 object Duration Unit conversion Volume of cube Filling tank Fraction of a whole F 4 operations
36 P5.SP.NK.23050639
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.
  1. Find the volume of water in Tank M after 5 minutes. Give your answer in litres.
  2. 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.
4 m
Rate 1 object Duration Unit conversion Volume of cuboid Filling tank
37 P5.SP.NK.23041801
Level 3
A cubical tank of edge 30 cm contained some water to a height of 12 cm.
  1. Find the volume of water in the tank at first.
  2. 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.
4 m
Rate 1 object Duration Volume of cube Filling tank Fraction of a whole
38 P5.SP.NK.23041802
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
Rate 1 object Duration Volume of cuboid Filling tank Fraction of a whole
39 P5.DA.NK.23052639
Level 3
The table shows the time taken by 4 participants in a race. All the times recorded are in whole numbers. Some of the time recorded were blocked by an ink drop. The average time taken by the 4 participants was 60 seconds. The difference between the time taken by Gabriel and Owen was 2 seconds. Find the shortest possible time taken by Fred.
3 m
Average Table Min-max More than or less than Duration Unit conversion Units method
40 P5.SP.JM.17083102
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
Rate more than 1 object Duration Fraction of a whole F 4 operations

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