Level 3
The figure is not drawn to scale. ∠c and ∠a are in the ratio 1 : 3. ∠b and ∠d are in the ratio 3 : 2. If ∠a = 105°, find ∠d.
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
Evelyn bought 50% more hair clips than Linda. Tammy bought 10% fewer hair clips than Evelyn. Evelyn and Linda gave Tammy some hair clips in the ratio 7 : 2. As a result, Tammy had twice as much hair clips as before. Given that Linda had 15 more hair clips than Evelyn in the end, how much hair clips did Evelyn give to Tammy?
5 m
Level 3
Henry's salary to Ken's salary is 5 : 7. The former saves $320 while the latter saves $232. If Ken's spending to Henry's spending is in the ratio of 8 : 5, what are Henry's and Ken's salaries respectively?
(a) Henry
(b) Ken
5 m
Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?
5 m