Level 3 PSLE
A and B are two rectangular containers. The base area of A is 30 cm2 and the base of B has dimensions as shown. A contained 750 cm3 of water and B was empty.
  1. What was the height of the water level in A?
  2. Ben poured some water from A into B without spilling. After that, the height of the water level of A was the same as that of B. How much water did Ben pour into B?
4 m
Level 3
Tank A measuring 40 cm by 17 cm by 146 cm is filled with water. Tank B is with a square base of side 68 cm is empty. Water is poured from Tank A into Tank B until the water level in Tank B is twice the height of the water in Tank A. What is the height of the water level in Tank B?
4 m
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.
  1. What is the height of water in the tank now?
  2. 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.
4 m
Level 3 PSLE
Ray had a rectangular block of wood 12 cm by 8 cm by 6 cm. He painted all the faces of the block.
  1. What is the total painted area?
  2. Ray then cut the block into 1-cm cubes. How many of these cubes have none of the faces painted?
  3. How many of these cubes have 2 of the faces painted?
5 m
Level 3
The figure shows a wooden cuboid that measures 125 cm by 20 cm by 20 cm.
  1. Find the maximum number of 3-cm cubes that can be cut from the wooden cuboid.
  2. Find the total surface area of the L-shaped block after cutting.
5 m