Question:

Level 2

Abel can paint a room in 6 hours. Bala can paint the same room in 3 hours. How long will it take for both of them to paint the same room together?

2 m
Abel can paint a room in 6 hours. Bala can paint the same room in 3 hours. How long will it take for both of them to paint the same room together?

The graphs show the total number of leaflets machines A and B printed from the start. Both machines started printing at the same time.

- How many more leaflets did B print than A in 5 minutes?
- Both machines did not change their rates of printing throughout. When A had printed 200 leaflets, how many leaflets had B printed?

2 m

Level 3

Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?

3 m
Beryl has 2 containers. A and B of different capacities. If Container A is filled by a tap at a rate of 3 litres per minute and Container B is filled by a tap at a rate of 5 litres per minute, when Container A is completely filled, 5 litres of water flowed out from Container B. If Container A is filled by a tap at a rate of 4 litres per minute and Container B is filled by a tap at a rate of 3 litres per minute, when Container A is completely filled, Container B is only half-filled. What is the capacity of Container B?

Level 3

It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.

3 m
It takes Faucet A 30 minutes to fill a tank measuring 12 cm by 10 cm by 22 cm completely while it takes Faucet B only 25 minutes. How long will it take to completely fill the tank with water if both the faucets are turned on at the same time? Leave the answer in minutes and round off to 2 decimal places.

Level 3

Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?

Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?

3 m

Level 3

The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.

The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.

3 m

Level 3

A rectangular tank measuring 60 cm by 50 cm by 25 cm was to be filled with water by two taps, A and B. Tap A which fills the tank at a rate of 8ℓ per minute was first turned on for 5 minutes before Tap B was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap A was first turned on, what is the rate at which Tap B fills the tank? Give the answer in ℓ per minute correct to 1 decimal place.

A rectangular tank measuring 60 cm by 50 cm by 25 cm was to be filled with water by two taps, A and B. Tap A which fills the tank at a rate of 8ℓ per minute was first turned on for 5 minutes before Tap B was turned on as well. If the tank was filled to the brim in a total of 7 minutes from the time when Tap A was first turned on, what is the rate at which Tap B fills the tank? Give the answer in ℓ per minute correct to 1 decimal place.

3 m

Level 3

An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.

3 m
An empty rectangular tank has a capacity of 90ℓ and a height of 50 cm. At 10 am, Tap A is turned on to fill the tank at a rate of 4ℓ per minute for 15 minutes. After 5 minutes, Tap B is turned on to drain water from the tank at a rate of 2ℓ per minute for 18 minutes. What is the height of the water level in the tank in the end? Express the answer in 1 decimal place.

Level 3

Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.

Tank A measuring 54 cm by 14 cm by 25 cm contains 4.7 ℓ of water. It is being filled with water flowing from Tap X at 0.9ℓ/min and Tap Y at 995 mℓ/min. Both taps are turned on at the same time. How long does it take to fill up Tank A till it is 75% full? Correct the answer to 1 decimal place.

3 m

Level 3

Min and Candy take 1 hour to clean the kennel together. If Min takes 3 hours to clean the kennel on her own, how long will it take Candy to clean the kennel alone?

3 m
Min and Candy take 1 hour to clean the kennel together. If Min takes 3 hours to clean the kennel on her own, how long will it take Candy to clean the kennel alone?

Level 3

It takes Angel 9 hours to sew a blouse by herself. If Belina helps her, they will take 5 hours to sew the blouse. How long will Belinda take to sew the blouse by herself? Express the answer in mixed number.

3 m
It takes Angel 9 hours to sew a blouse by herself. If Belina helps her, they will take 5 hours to sew the blouse. How long will Belinda take to sew the blouse by herself? Express the answer in mixed number.

Level 3

Ronnie and Dave, together, can clean a room in 3 hours. If Ronnie is cleaning the room alone, he can only complete the task in 9 hours. How long will Dave take to clean a room all by himself? Express the answer in mixed number.

3 m
Ronnie and Dave, together, can clean a room in 3 hours. If Ronnie is cleaning the room alone, he can only complete the task in 9 hours. How long will Dave take to clean a room all by himself? Express the answer in mixed number.

Level 3

8 workers take 10 hours to build 4 bookshelves. How many hours will 6 workers take to build 2 bookshelves? Express the answer in mixed number of hours.

3 m
8 workers take 10 hours to build 4 bookshelves. How many hours will 6 workers take to build 2 bookshelves? Express the answer in mixed number of hours.

Level 3

50 men working 8 hours a day can finish building a boat in 10 days. How long would it take 60 men to finish building the same boat if they work the same number of hours a day?

3 m
50 men working 8 hours a day can finish building a boat in 10 days. How long would it take 60 men to finish building the same boat if they work the same number of hours a day?

Level 3

Machine X takes 5 minutes to cut 85 pieces of lumbers. Machine Y takes 15 minutes to cut 120 pieces of lumbers. Machine Z takes 10 minutes to cut 120 pieces of lumber.

3 m
Machine X takes 5 minutes to cut 85 pieces of lumbers. Machine Y takes 15 minutes to cut 120 pieces of lumbers. Machine Z takes 10 minutes to cut 120 pieces of lumber.

- Which is the faster combination, X and Y or Y and Z? (Eg A, B)
- In 1 minute, how many more pieces of lumbers can be cut by the faster combination compared to the other combination?

Level 2 PSLE

Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.

Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.

- What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
- In one minute, how many litres of water flowed from Tap B?

3 m

Level 3

Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.

3 m
Tap A can fill up a tank in 2 hours. Tap B can fill up the same tank in 6 hours. How long will it take to fill up the tank if both taps are turned on at the same time? Express the answer(s) in h.

Level 3 PSLE

Mr Lee used two printers with different printing rates for a printing job. He started Machine A at 10 00 and started Machine B two minutes later. He stopped both machines at 10 05. The graphs show the total number of pages printed by each machine from the start of printing.

Mr Lee used two printers with different printing rates for a printing job. He started Machine A at 10 00 and started Machine B two minutes later. He stopped both machines at 10 05. The graphs show the total number of pages printed by each machine from the start of printing.

- How many pages had been printed by Machine A at the time Mr Lee started Machine B?
- What was the difference in the number of pages printed by the two machines from 10 00 to 10 05?
- Which machine, A or B, has a faster printing rate? What is the difference in the number of pages printed by the machines in one minute? Give your answer in this format. (Eg A, 1)

4 m

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 cm^{2}. 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.

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 cm

4 m

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.

4 m
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.

- How many pages were there altogether in the set of notes?
- Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?