Level 3
Figure 1 shows a rectangle EFGH. It is folded along EG to form Figure 2. The area of Figure 2 is 58 of the area of Figure 1. The area of the shaded part in Figure 2 is 36 cm2. Find the area of rectangle EFGH.
3 m
Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent 25 of her money and Charlie deposited 511 of his money into his savings account, Abigail had thrice as much money as Charlie.
  1. Find the amount of money Abigail received from her father.
  2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
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, not drawn to scale, is made up of Square A and Rectangles B and C. The area of Square A is 89 of the total area of Rectangles B and C. 14 of Square A is shaded. 14 of Rectangle B is shaded. 16 of Rectangle C is shaded. What fraction of the figure is shaded?
4 m
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 m