Level 3
The solid figure is made up of 6 identical cubes of edge 7 cm.
  1. Find the volume of the solid figure.
  2. Find the total surface area of the solid figure.
3 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
Level 2
A water jug contains 8 ℓ 50 mℓ of water when it is 57 full. What is the capacity of the water jug? Leave the answer in ℓ and mℓ.
3 m
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
3 m
Level 3
The figure is not drawn to scale. An empty Tank A measures 50 cm by 20 cm by 40.5 cm. Tank B with a base area of 1000 cm2was completely filled with water. Ronald poured 12 of the water from Tank B into Tank A. The water filled 70% of Tank A. What was the height of Tank B? (Correct the answer to 2 decimal places.)
3 m
Level 3
A rectangular tank measuring 35 cm by 26 cm by 12 cm is completely filled with oil. Oil from the tank is poured into an empty cubical container of edge 18 cm until the cubical container is half-filled. What is the height of the oil in the tank after some oil is poured out? Correct the answer to 1 decimal place.
3 m
Level 3
Some oil is leaking from a crack of a container. After z minutes, the volume of the oil left in the container is given as Volume = 40(100 - 5z) cm3. How much oil will be left in the tank after 10 minutes? Give your answer in litres.
3 m
Level 3
The area of one face of the wooden cube is 3600 cm2. A carpenter cut the wooden cube into three cuboids of identical size. After gluing the cuboids together to make a solid figure as shown, he painted all the surfaces of the solid figure red. What was the total surface area of the solid figure that had been painted red?
3 m
Level 2 PSLE
Carlo filled a container with water using two taps. He turned on Tap A first and after 4 minutes, he also turned on Tap B. Both taps were turned off at the same time when the container was completely filled without overflowing. The graph shows the amount of water in the container over 16 minutes.
  1. What fraction of the container was filled 4 minutes after Tap A was turned on? Express your answer in the simplest form.
  2. In one minute, how many litres of water flowed from Tap B?
3 m
Level 3
The solid figure is made up of 3-cm cubes.
  1. Find its volume.
  2. If the solid figure is placed on the floor and some paint is poured onto the solid figure such that all the exposed sides are coated with paint, how many cubes will have only two of its faces covered with paint?
3 m