Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.
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Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
Level 3
The figure shows a rectangular tank measuring 55 cm by 22 cm by 24 cm. It was 13 filled with water at first. Dylan turned on a tap and let water flow into the tank at a rate of 1.36ℓ per minute. After 15 minutes, he turned off the tap. How much water had overflowed? (Express the answer in ℓ.)
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Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
Level 3
Shemy placed three empty tanks side by side. The smallest tank has a crack at its side and the base area of each tank is 16 cm2. After she turned on the tap for 64 minutes, the height of the water in the smallest tank became 6 cm although 0.5 mℓ of water is leaking out of the crack per minute. Find the rate of flow of water from the tap. Give the answer in mℓ/min.
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Level 3
At a factory, Bryan could assemble 7 robots in a day while Francis could assemble 4 more robots than him in a day. If Francis was absent for 3 days, how many days would he need to assemble 17 more robots than Bryan?
3 m
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Level 3
5 tailors can sew 10 shirts in 10 hours on average.
How long will 50 tailors take to sew 50 shirts on average?
3 m
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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
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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
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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
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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
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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
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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.
- 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?
3 m
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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
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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
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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?
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?
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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.
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.
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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.
3 m
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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
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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.
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.
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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.
- 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?
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.
- 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?
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Level 2 The graph shows the temperature of water in a pot from 08 00 to 08 30.
- For how many minutes was the temperature of the water 50°C and below?
- During which two 5-minute intervals did the temperature of water decrease at the same rate?
- What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
Level 2 The graph shows the temperature of water in a pot from 08 00 to 08 30.
- For how many minutes was the temperature of the water 50°C and below?
- During which two 5-minute intervals did the temperature of water decrease at the same rate?
- What was the change in temperature per minute from 08 25 to 08 30? Give your answer in °C per minute.
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