Level 3
The time in New Zealand is 4 hours ahead of the time in Singapore. When it is 10 00 in Singapore, it is 14 00 in New Zealand. Kathy went to New Zealand for a work trip. She would be taking a flight from New Zealand at 06 40 to come back to Singapore. The flight duration is 9 h 55 min. At what time would Kathy reach Singapore?
Level 3
The average rainfall for the months of January to May was 155 mm. Each month from January to May, the rainfall was 1 mm more than the month before it. What was the rainfall in January?
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
What is the height of water in the tank now?
It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
Level 3
This figure is not drawn to scale. A rectangular glass tank 72 cm by 50 cm by 35 cm has 2 compartments, X and Y, with a water height of 30 cm in X and 15 cm in Y. A hole in the slider caused water to leak from X to Y. It was found that the water level in both compartments became the same after some time.
What is the height of water in the tank now?
It took 112 h for the water in both compartments to reach the same level. Assuming that water leaked at a constant rate, how much water flowed from X to Y in 1 minute? Express the answer to 1 decimal place in cm³.
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.
The slower copier completed the job at 2.00 p.m. At what time was the printing started?
What was the total number of leaflets printed by the two copiers?
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.
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?
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?
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?
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.
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?
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?
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.
