Level 3
A rectangle is 25 cm long and 20 cm wide. Its length is now increased by 40% and its breadth is increased by 50%. Find the perimeter of the new rectangle.
4 m
Level 3
The length and the breadth of a rectangle are both decreased by 20%. By how many percentage will its area be decreased by?
4 m
Level 3
A thin wire, 132 cm long, is bent to form Figure 1 which consists of a square and a rectangle. If the wire does not overlap and the breadth of the rectangle is one third its length, what is the perimeter of the figure?
3 m
Level 3
In the figure, ABCD is a rectangle. E is a point on line AB. F and G are points on line DC. The total shaded area of triangles DEF and FBG is 112 cm2. AD = 14 cm and GC = 4 cm. Find the area of rectangle ABCD.
3 m
Level 3
A tank was completely filled with water. The ratio of the length of the tank to its breadth to its height is 8 : 4 : 15.
  1. Given that the height of the tank is 45 cm, find the volume of water in the tank.
  2. All the water in the tank was poured into 2 empty bottles A and B without spilling any water. As a result, Bottle A had 1500 cm3 more water than Bottle B. Find the volume of water in Bottle A. Give your answer in litres.
4 m
Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Level 3
Find the area of the figure given that the area of the shaded part is 52 cm2 and The length of BC is twice that of AB.
3 m
Level 3
Collin was training for a swimming competition. On Day 1 of his training, he swam 600 m. On Day 2, he swam 0.1 km more than Day 1. For each subsequent training session, he swam a distance of 0.1 km more than the previous training session.
  1. On Day 5 of his training session, how far did he swim? Give your answer in km.
  2. On which day did he swim a distance of 3 km?
5 m
Level 3
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Level 3
The figure is made up of 2 overlapping squares. The area of the shaded part is 20 cm2. The length of the bigger square is 6 cm. Find the length of the smaller square.
3 m