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 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
Level 3
The number of red grapes is the same as the number of green grapes in a bag. After removing 14 of the grapes, there were 36 red grapes and 54 green grapes left in the bag. Then another 20 red grapes and 20 green grapes were removed and there were 512 of the grapes left in the end. How many red grapes were removed altogether?
4 m
Level 2
Adam and Bryan have some money in the ratio of 2 : 5
After Adam receives $400,
the amount that Adam has becomes is 23 that of Bryan's.
  1. How much does Adam have at first?
  2. How much does Bryan have?
  3. How much less does Adam have than Bryan in the end?
4 m
Level 2
Adam and Bryan have some money in the ratio of 5 : 4
After Adam spends $700,
the amount that Adam has left is 23 that of Bryan's.
  1. How much does Adam have at first?
  2. How much does Bryan have?
  3. How much less does Adam have than Bryan in the end?
4 m
Level 3
Adam and Bryan have some money in the ratio of 5 : 4
After Adam gives 12 of his money to Bryan,
Bryan has $400 more than Adam in the end.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
  3. How much does Adam give to Bryan?
4 m
Level 3
Adam has some money.
Adam spends $300 on some stickers and
80% of the remainder on some marbles.
In the end, he has 18 of the total amount left.
  1. How much does Adam have at first?
  2. How much more does Adam spend on marbles than on stickers?
3 m
Level 2
The figure is made up of a square and a rectangle. The area of the square is 13 the area of the rectangle. Given that 12 of the square is shaded, what fraction of the whole figure is unshaded?
3 m
Level 3
Adam and Bryan have a total of $220.
Adam spends 13 of his money and
Bryan spends $30 of his money.
The ratio of Adam's money to Bryan's money becomes 5 : 2.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
3 m