Questions

From Worst to Best

51 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

Attempt

52 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

Attempt

Rate more than 1 object Volume Time Height of cuboid Common numerator Units method

53 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

Attempt

Rate more than 1 object Common time Volume Duration Displacement D Place values D Round off

54 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

Video Attempt

Rate more than 1 object Common time Unit conversion Volume Height of cuboid Filling tank Volume common height Fraction of a whole

55 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.

How many litres of water flowed out of tap B in 1 minute?
At 2.30 p.m., what fraction of the tank was filled with water?

5 m

Attempt

Rate more than 1 object Duration am pm Volume of cuboid Filling tank Units method Fraction of a whole

56 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

Attempt

Rate more than 1 object Same starting time Duration D Place values D Round off Percent of a set

57 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,

How long does it take to fill 40% of the tank?
How much water has flowed out through Tap B by the time the tank is ³₅ filled with water?

5 m

Attempt

Rate more than 1 object Common time Volume Volume of cuboid Filling tank Fraction of a whole Percent of a whole Units method

58 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

Attempt

Rate more than 1 object Common time Volume Volume of cuboid Volume of cube Filling tank D Place values D Round off

59 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.