Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
3 m
Level 3
The ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 9. There were 48 fewer ducks in Farm A than in Farm B. When 5 ducks escaped from Farm B, the farmer in Farm B bought another 9 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
4 m
Level 3
Adam has stickers in 4 colours.
57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
3 m
Level 3
The ratio of the number of papayas to the number of peaches that a fruit seller had was 5 : 11. After he sold half of the peaches, there were a total of 252 papayas and peaches left at the fruit stall.
  1. How many papayas were there at the stall?
  2. If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?
4 m
Level 3
In a school, there is a total of 400 people.
30% are adults.
The rest are children.
The number of boys and girls is in the ratio of 2 : 5.
  1. What percentage of the people are boys?
  2. How many girls are there?
3 m