46 P6.SP.JC.17053170
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
  1. What is the height of water in the tank now?
  2. It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
4 m
Rate 1 object Volume Volume of cuboid Height of cuboid Filling Tank Volume transfer Volume common base area Volume common height D Place values D Round off
47 P6.SP.JC.18011303
Level 3
Nick placed three empty containers side by side. The smallest container has a crack at the bottom of its side and the base area of each container is 18 cm2. After he turned on the faucet for 68 minutes, the height of the water in the smallest container became 8 cm although 0.8 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the faucet. Give the answer in mℓ/min.
4 m
Rate more than 1 object Unit conversion Duration Volume
48 P6.SP.JC.21061106
Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.
  1. How many pages were there altogether in the set of notes?
  2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?
4 m
Rate more than 1 object Duration Unit conversion Number x value Units table
49 P6.SP.JC.21061105
Level 3 PSLE
One copier took 60 minutes while another took 100 minutes to print the same number of leaflets. The faster copier printed 6 more leaflets per minute than the slower one.
  1. The slower copier completed the job at 2.00 p.m. At what time was the printing started?
  2. What was the total number of leaflets printed by the two copiers?
4 m
Rate more than 1 object Start end time More than or less than
50 P6.SP.JC.18011323
Level 3
When both printers U and V are used, a collection of books can be printed in 3 hours. While printing, Printer U broke down. As a result, it took 113 hours to complete printing. If it would take Printer V 4 hours to print the collection alone,
  1. how long would it take to print the collection of books using only Printer U? Express your answer in hours.
  2. how long was Printer U used before it broke down? Express your answer in hours.
4 m
Rate more than 1 object Unit conversion Duration Volume

5 per page

10 per page

20 per page

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