21 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
22 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
23 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
24 P6.SP.TL.16010101
Level 3
During Christmas, Vincent's candle and Ethan's candle were placed on an altar. Vincent's candle was 3 cm longer than Ethan's candle. Vincent's candle and Ethan's candle were lit at 5:30 p.m. and 9:00 p.m. respectively. They burnt down to the same height at 10:30pm. At 1:30 a.m., Ethan's candle was burnt out while Vincent's candle was burnt out at 3:30 a.m. Find the original heights of Vincent's candle and Ethan's candle.
4 m
Rate more than 1 object Different starting time More than or less than Equal stage after
25 P6.SP.TL.18012227
Level 3
If Albert and Marvin work together, they can complete a job in 14 days. If Albert and Marvin worked together for 7 days, followed by Marvin who worked alone for the next 21 days, they can finish off the job.
  1. How long can Marvin finish the work alone? Express the answer in days.
  2. How long can Albert finish the work alone? Express the answer in days.
4 m
Rate more than 1 object Duration
26 P6.SP.TL.18012231
Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?
4 m
Rate more than 1 object Duration Percent of a whole More than or less than Units & parts & boxes Elimination
27 P6.SP.JC.19010101
Level 3
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?
4 m
Rate more than 1 object Duration LCM Units method Units & parts & boxes Substitution
28 P6.SP.JC.21061109
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
  1. With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
  2. Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
3 m
Rate more than 1 object Fraction of a whole Duration Volume Unit conversion Filling tank
29 P6.SP.JC.21061107
Level 3 PSLE
The figure shows Tap A, Tap B and an empty tank with a capacity of 54.2 litres. Water flows Tap A at 3.1 litres per minute and from Tap B at 2.9 litres per minute. Tap A was turned on first. Tap B was turned on 2 minutes later. The taps were turned off at the same time when the tank was completely filled without overflowing. How much water flowed from Tap A?
4 m
Rate more than 1 object Volume Unit conversion Filling tank
30 P6.SP.JC.17081504
Level 3
A tank is to be filled to the brim. Tap A takes 20 minutes to fill the tank while Tap B takes 15 minutes to fill it. How long will it take to completely fill the tank with water if both the taps are turned on at the same time? Leave the answer in minutes and round off to 1 decimal place.
4 m
Rate more than 1 object Common time Volume Filling tank D Place values D Round off
31 P6.SP.JC.18011321
Level 3
Faucet X can fill a container completely in 5 hours while Faucet Y takes 1 hour more to fill the same container completely. There is a hole at the bottom of the container which can empty the full container in 10 hours. How long does it take for the container to be completely filled if both faucets are turned on? Express the answer in mixed number of hours.
4 m
Rate more than 1 object Duration Volume F Simplest form Mixed numbers More than or less than
32 P6.SP.JC.17053169
Level 3
The figure shows 2 completely filled tanks being emptied of the water from 2 different taps. The difference in height between Tank X and Tank Y is 5 cm. The taps at Tank X and Tank Y were turned on at 0700 and 0830. respectively, until both were completely empty. At 1100, the water level in both tanks was the same. At 1230, Tank Y was completely empty and Tank X was only completely empty at 1300. If the rate of the flow of water from each tap was constant throughout, what was the height of Tank Y?
4 m
Rate more than 1 object Volume Time Height of cuboid Common numerator Units method
33 P6.SP.JC.18011320
Level 3
It takes Faucet X 15 minutes to fill a tank measuring 14 cm by 8 cm by 12 cm completely while it takes Faucet Y only 10 minutes. How long will it take to completely fill the tank with water if both faucets are turned on at the same time and 3 cubic cubes of edges 3 cm, filled with water, are poured into the tank? Leave the answer in minutes and round off to 2 decimal places.
4 m
Rate more than 1 object Common time Volume Duration Displacement D Place values D Round off
34 P6.SP.JC.17053182
Level 3 PSLE
Two rectangular tanks are shown. At first, Tank X was empty and one quarter of Tank Y was filled with water. Both taps were turned on at the same time and water from both taps flowed at the same rate of 1.6 litres per minute. How much time will it take for the height of the water to be the same in both tanks? (1 litre = 1000 cm3 )
4 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height Fraction of a whole
35 P6.SP.JC.21061119
Level 3 PSLE
The figure shows taps A and B and an empty tank. At 2 p.m., tap A was turned on. Water flowed into the tank from tap A at a rate of 3.8 litres per minute. After 5 minutes, tap B was turned on. At 2.15 p.m., the tank was half filled with water.
  1. How many litres of water flowed out of tap B in 1 minute?
  2. At 2.30 p.m., what fraction of the tank was filled with water?
5 m
Rate more than 1 object Duration am pm Volume of cuboid Filling tank Units method Fraction of a whole
36 P6.SP.TL.18012290
Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.
5 m
Rate more than 1 object Same starting time Duration D Place values D Round off Percent of a set
37 P6.SP.JC.17053052
Level 3
Water flows into a tank through Tap A and flows out of the container through Tap B. The capacity of a tank is 40 litres. When only Tap A is turned on, the container is completely filled in 16 minutes. When only Tap B is turned on, it takes 13 hour for all the water to flow out. If both taps are turned on at the same time,
  1. How long does it take to fill 40% of the tank?
  2. How much water has flowed out through Tap B by the time the tank is 35 filled with water?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Filling tank Fraction of a whole Percent of a whole Units method
38 P6.SP.JC.17081501
Level 3
To fill a tank measuring 50 cm by 20 cm by 40 cm completely, it takes Tap A 4 minutes while it takes Tap B only 12 minutes. How long will it take to completely fill the container with water if both the taps are turned on at the same time and 8 cubic containers of edges 10 cm, filled to the brim with water are poured into the tank?
5 m
Rate more than 1 object Common time Volume Volume of cuboid Volume of cube Filling tank D Place values D Round off
39 P6.SP.JC.17053187
Level 3
The figure shows 2 tanks, Tank X and Tank Y. Tank X is completely empty while Tank Y is filled with water to the brim. Water from Tap A flows in at a rate of 1.2 litres per minute while water drains from Tap B at a rate of 0.72 litres per minute. Both taps are turned on at the same time. After some time, the heights of the water level in both tanks became the same.
  1. Find the time taken for the heights of the water level to be the same in both tanks.
  2. Find the height of the water level at that point of time.
5 m
Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height

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