Level 3
The ratio of Henry's total points to that of Vincent's in a mock test was 6 : 7. In the next mock test, Henry's points increased by 70%. By what percentage must Vincent's points be increased if their total points were to be the same? Round off the answer to the nearest whole number.
Level 3
The ratio of the number of boys to the number of girls in a class is 3 : 5. The ratio of the pupils in the class who scored distinction to those who did not score distinction is 4 : 1. The ratio of the boys who scored distinction to those who did not score distinction is 14 : 1. What is the ratio of girls who scored distinction to the girls who did not score distinction?
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Level 3
This figure is not drawn to scale. A rectangular cuboid has been divided into 4 parts, A, B, C and D. The volume of A, B and C are in the ratio of 1 : 2 : 6. A is a cube and has a volume of 64 cm3. Find the total area of the shaded parts.
Level 3
Carl was fixing a jigsaw puzzle. By the second day, the number of pieces he fixed was 20% of the number of pieces unfixed. After another 8 days, he fixed another 196 pieces and the number of unfixed pieces he was left with was 20% of the number of pieces fixed. How many pieces were left unfixed?
Level 3
The amount of lemon syrup to the amount of water in Cup A is in the ratio 2 : 5. The amount of lemon syrup to the amount of water in Cup B is in the ratio 1 : 6. There is an equal amount of lemon syrup in both cups. Cup B contains 189 mℓ more water than Cup A. What is the amount of lemon syrup in Cup A? Leave the answer in mℓ.
