361 P4.FR.PR.17100412
Level 3
A car-wash machine takes 16 h to wash 1 car. Washing the car by hand takes 14 h longer than the car-wash machine.
  1. Find the time taken to wash 1 car by hand.
  2. Find the total time taken to wash 3 cars by hand. Leave your answer in hours and minutes.
4 m
Fractions with units F 4 operations Unit conversion Time Duration Model Comparison Unit conversion
362 P5.WN.JM.17083029
Level 3
There are 2 groups of workers in a factory. There are 5 more workers in the first group than the second group. Each worker in the first group makes 4 toys in a minute but each worker in the second group makes only 3 toys in a minute. Both groups make a total of 4140 toys in an hour.
  1. How many workers are there in the first group?
  2. How many workers are there in the second group?
4 m
Time Unit conversion More than or less than Number x value Units table
363 P5.FR.NK.22122918
Level 3
Daniel's age is 19 of his uncle's. His uncle will be 41 years old in 5 years' time. In how many years' time will Daniel's age be 37 of his uncle's?
4 m
Fraction to units Unchanged difference Units table Units & parts Substituition
364 P5.DA.JM.17083189
Level 3
Chris runs 100 metres for 5 times. The average time taken for his first three runs is 14.5 seconds. He aims to have an average timing of 12.8 seconds for his five runs.
  1. What is the average time he needs to take for his 4th and 5th run in order to achieve his aim?
  2. If he runs 3 seconds faster in one of the five runs, what would be his average time for the five runs?
5 m
Average 2 Averages Duration D Multiplication More than or less than
365 P5.WN.JC.17083289
Level 3
At first, there were 410 more men than women at an exhibition. At lunch time, a total of 250 men and women left the exhibition. There were as many men as women who left the exhibition. In the end, there were 3 times as many men as women who remained behind. How many men were at the exhibition at first?
4 m
More than or less than Times as many Unchanged difference Units table
366 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
367 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
368 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
369 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
370 P5.WN.JM.17083014
Level 3
Samantha had twice as many pens as notebooks at first. She removed 4 pens and 3 notebooks each time. In the end, there were 18 pens and 1 notebook left. How many pens and notebooks did Samantha have at first?
4 m
Times as many All change Units table Units & parts Elimination

5 per page

10 per page

20 per page

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