Level 3
The figure is not drawn to scale. Tank A measuring 40 cm by 30 cm by 20 cm is filled to the brim. When 35 of water was transferred from Tank A to Tank B, 1.8 litres of water overflowed. Tank B has a base area of 300 cm2. Find the height of Tank B.
3 m
Level 3
A rectangular tank was 45 filled with water. After 56 litres of water was poured out from the tank, it became 110 full. How many litres of water were there in the tank at first?
3 m
Level 3
The figure is not drawn to scale. The tank was 23 filled with water to a height of 30 cm. When a rubber ball was dropped into the tank, the height of the water level was 1.5 cm from the brim of the tank. Find the volume of the rubber ball.
3 m
Level 2
Rectangle A and Rectangle B overlap each other. Given that 16 of Rectangle A is shaded while 14 of Rectangle B is shaded, what fraction of the figure is not shaded?
2 m
Level 2 PSLE
Two rectangular tanks are shown. Tank Y contained water to half its height. All the water from Tank Y was poured into Tank Z without spilling. What was the height of the water level in Tank Z?
3 m
Level 2
Figure PQRS is a square. It is made up of 1 small square, 2 small triangles and 3 large triangles. PR and OS are straight lines. What fraction of the square PQRS is shaded?
3 m
Level 2
Suresh had 1 m of string. He cut 3 pieces of string, each measuring 20 cm and gave them to his sister. What fraction of the string was left?
3 m
Level 3
The diagram shows 3 containers of different dimensions, each separated by a partition. Tank C, measuring 20 m by 15 m by 21 m, is filled with water to its brim. Tank B is an empty cuboidal container with a length of 10 m. Slider 1 is lifted to release 14 of the water from Tank C to Tank B, after which the partition is slid down to separate Tank C and Tank B. Next, Slider 2 is removed and some water from Tank B flows into Tank A such that the height of the water level of Tank B and Tank A is 7 m.
  1. What is the length of Tank A?
  2. How many m3 of water are there in Tank B?
3 m
Level 3
The figure is not drawn to scale. The ratio of the area of the rectangle to the area of the circle to the area of the triangle is 21 : 17 : 4. If 14 of the triangle and 37 of the rectangle are shaded, what is the ratio of the total shaded area to the total of the unshaded area? Leave your answer in the simplest form.
4 m
Level 3
34 of a rectangular tank, 90 cm by 8 cm by 5 cm, is filled with water. A cubical container of edge 18 cm is filled with water to a depth of 15 cm. If the water in the rectangular tank is transferred to the cubical container until it is filled to its brim, how many litres of water will be left in the rectangular tank?
3 m