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
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.
3 m
Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
3 m
Level 2
X, Y and Z are centres of three identical circles. The length of XY is 7.2 m. XY, YZ and XZ are equal in length. Find the shaded area of the figure. (Take π = 3.14) Correct to 2 decimal places.
2 m
Level 3 PSLE
A and B are two rectangular tanks. The base area of A is 80 cm2 while that of B is 50 cm2 . At first, A contained water to a height of 40 cm and B was empty, as shown.
  1. What was the volume of the water in A at first? 
  2. Rashid then poured some water from A to B. After that, the height of the water level in A was twice that in B. What was the new height of the water level in A? Round off the answer to 1 decimal place.
3 m