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.
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.
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.
Find the amount of money Abigail received from her father.
If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
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.
Find the capacity of the container in litres.
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.
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.
Find the capacity of the container in litres.
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.
Level 3
John spent 25 of his salary.
He saved 37 of it.
He then gave 38 of what was left to his son and gave the remaining amount of $300 to his daughter.
What was John's salary?
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.
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.
Level 3
John spent 25 of his salary.
He saved 23 of the remainder. He then gave 34 of what was left to his son and gave the remaining amount of $100 to his daughter.
What was John's salary?
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
Level 3
The figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
Level 3
At a fun fair, there were 3 times as many males as females. 59 of the males were boys and the rest were men. 23 of the females were women and the rest were girls. Given that there were 104 more boys than girls, how many children were there altogether?
Level 3
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, 34 of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?
Level 3
Zoe spent $54 on some apples, oranges and grapefruits in the ratio of 1 : 5 : 3. The number of apples was 12 the number of oranges. The ratio of the number of grapefruits to the number of oranges was 3 : 2. The apples were sold at 2 for a dollar.
