Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is 34 filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
Level 3
The figure is not drawn to scale. It shows a tank made from two connected cubical containers, Cube A and Cube B. The tank is filled with some water. Cube A is 34 filled with 6000 mℓ of water while Cube B is completely filled with water. The height of the water level in Cube A is 4 cm higher than that in Cube B. Water is then drained from the tank and the height of the new water level is 5 cm. What is the volume of the water drained in mℓ?
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Level 3
A rectangular tank, 80 cm by 50 cm by 40 cm, is filled with water to a height of 5 cm. The ratio of the volume of water in the tank to that in a pail is 5: 2. If
23 of the pail is filled with water, find
- the volume of the pail.
- the minimum number of such pails to fill the tank.
4 m
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Level 3
The perimeter of the rectangular base of a tank is 400 cm. The ratio of its length to its breadth is 3 : 2. When 48 ℓ of water are poured into the tank, 25 of it is filled. Find the height of the tank.
4 m
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Level 3
A ball is dropped from a height of 120 cm. Every time it hits the ground, it will rebound to half of its original height. What is the total distance the ball has travelled by the time it hits the ground for the 4th time?
4 m
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Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent
14 of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.
- What was the cost of 1 sandwich?
- Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?
5 m
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Level 3
Luke bought a refrigerator and a laptop. The original price of the refrigerator was $3200 and the original price of the laptop was half the original price of the refrigerator. Luke was given a 25% discount on the laptop. How much did Luke pay altogether?
4 m
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Level 3 PSLE
A muffin costs $0.70 in Bakery A. For every 3 muffins a customer buys, he can buy the fourth one at half the price. What is the greatest number of muffins that a customer can buy with $84?
3 m
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Level 3
A cylindrical dispenser of capacity 5.7 ℓ was filled with apple juice to its brim. The milk in the dispenser was then dispensed into a cubical container of sides 18 cm, through a tap flowing at a rate of 200 mℓ/min. After 15 min, the tap was turned off and the container was
23 full.
- What percentage of the milk in the cylindrical dispenser was left? Round off your answer to the nearest 2 decimal places.
- How many litres of milk were there in the container at first? (1 ℓ = 1000 cm3)
5 m
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Level 3
A pool measuring 50 m x 25 m x 2 m was completely filled with water. The water was draining out of the tank at a constant rate and became completely empty after 25 minutes.
- What fraction of the pool was filled with water at the end of 24 minutes? Express the answer in the simplest form.
- How many litres of water was drained out of the pool at the end of 10 minutes?
4 m
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Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
Level 3
The figure, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
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Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
Level 3
The figure is not drawn to scale. It is made up of 2 semicircles, X and Y, overlapping each other. The radius of semicircle X is 7 cm while the radius of semicircle Y is 14 cm. 37 of semicircle X is shaded. What fraction of the whole figure is not shaded? Express the answer in the simplest form. (Take π = 227)
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Level 3
Rachel had 3 times as much money as Paul. After Rachel spent
12 of her money and Paul spent
35 of his money, they had a total of $1615 left.
- How much money did Rachel and Paul have altogether at first?
- Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
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TRY FOR FREE
Level 3 PSLE Muthu used
47 of his money to buy 6 pens. He used the rest of his money to buy 4 pens and 3 files.
- What fraction of his money did Methu use to buy the 3 files?
- If 1 file was fiven for free for every 5 files bought, How many files would Muthu be able to buy if he were to use all his money to buy files?
4 m
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Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent
25 of her money and Charlie deposited
511 of his money into his savings account, Abigail had thrice as much money as Charlie.
- Find the amount of money Abigail received from her father.
- If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
5 m
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Level 3
Mrs Hwee bought 2 air-fryers, 1 toaster and 1 electric kettle for $729 during the Great Singapore Sale. Each air-fryer cost $20 more than the toaster. Each electric kettle cost half as much as an air-fryer. How much did the toaster cost?
3 m
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Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
Level 3
The figure is made up of two identical squares, ABCD and WXYZ. The area of each square is 100 cm2. Point A is the centre of Square WXYZ. Find the unshaded area.
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Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
Level 3
A rectangular tank 38 cm long, 23 cm wide and 18 cm high is 45 full of water. When 14 of the water was removed from the tank, how many ℓ of water was left in the tank? Express your answer as a decimal correct to 2 decimal places.
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Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
- With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
- Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
Level 3 PSLE
The figure shows an empty tank placed below two taps A and B. It takes 10 min to fill the tank with Tap A alone and 2 min Tap B alone.
- With only Tap A turned on, what fraction of the tank will be filled in 1 minute?
- Starting with an empty tank, how long does it take for both taps together to fill 14 of the tank? Give your answer in seconds.
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Level 3
A rectangular tank measuring 25 cm by 12 cm by 10 cm is 25 filled with water. All the water is then poured into a cubical tank with a side measuring 14 cm. How much more water is needed to fill the cubical tank completely? Give your answer in litres.
4 m
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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 )
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 )
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