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?
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.
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.
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?
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?
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?
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?
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)
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?
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?
