Level 3
9 identical 4-cm cubes are placed in an empty rectangular tank of length 90 cm and width 25 cm. The tank is then filled with water from a tap flowing at a rate of 7 litres per minute. It takes 12 minutes to fill up 34 of the tank. What is the height of the tank? Correct the answer to 1 decimal place.
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 3
The figure is not drawn to scale. It is made up of a square and a rectangle. The ratio of the area of the square to that of the rectangle is 3 : 4. After the shaded part is cut out, the ratio of the area of unshaded part of the rectangle to that of the unshaded part of the square is 2 : 1. Given the length of the square is 9 cm, find the area of the shaded part.
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
Level 2
The figure is made up of a rectangle and 2 quadrants. If the length of the rectangle is 16 m and the breadth of the rectangle is 8 m, find the area of the shaded area. (Take π as 3.14)
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
Level 3
The diagrams are not drawn to scale. Diagram 1 shows a rectangular tank containing 6 identical cubes and filled to the brim. It had a length of 40 cm and a breadth of 10 cm. In Diagram 2, four cubes were removed from the same tank and the water level dropped by 2.16 cm.
After that, a certain amount of water was drained off the tank until the water level reaches the same height as the remaining cubes. Find the volume of the water in the tank in Diagram 2 in the end. Give the answer in litres.
