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
At a fruit stall, 280 mangoes were sold in the morning and 35 of the remaining mangoes were sold in the afternoon. As a result, the number of mangoes left became 16 of the total number of mangoes at first. Given that the mangoes were sold at $2.50 in packs of six mangoes, how much did the fruit stall receive from the sale of the mangoes in the afternoon?
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
Level 3
Last Saturday, Jack withdrew an equal number of $10-notes and $50-notes from the bank. After spending 58 pieces of $10-notes and 10 pieces of $50-notes, the ratio of the remaining $10-notes to $50-notes became 2 : 5.
  1. How many $10-notes had he left?
  2. What was the total value of the notes which Jack withdrew from the bank?
4 m
Level 3
There were 360 males and 400 females queueing up for a fan meeting. The ratio of the number of males to the number of females who left the queue was in the ratio 1 : 2. As a result, the ratio of the number of females became four times as many as the number of males who remained in the queue. How many people left the queue?
4 m
Level 2
The figures show 3 different fruits, a pineapple, a bunch of bananas and 2 similar mangoes. The mass of a mango is 23 of the mass of the bunch of bananas.
  1. Find the mass of the bunch of bananas.
  2. Find the mass of the pineapple.
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 5 : 9.
  1. What percentage of the people are boys?
  2. How many girls are there?
3 m
Level 3
Hannah went shopping with 4 times the amount that Kelly brought. The ratio of the amount of money Kelly spent to the amount of money Hannah spent was 2 : 3. In the end, Kelly and Hannah had $12 and $108 respectively. How much did Kelly spend?
4 m