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 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 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
Lynn paid $410 for some wafers and scones. The ratio of the boxes of wafers to the boxes of scones was 3 : 2. Each box of wafers cost $5 more than each box of scones. She paid $130 more for the wafers than the scones. What was the price of each box of wafers?
4 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
Level 3
The figure is made up of Rectangle ABCD. AFE is a straight line and EC = AG. The ratio of BE to BC is 5 : 8. Find the shaded area.
3 m