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 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
Level 3
Ivory receives $10 more allowance than Neave each day. Ivory spends $9 more than Neave each day. Their remaining money was saved. How much more money will Ivory save than Neave after 3 days?
2 m
Level 3
There were some cars, vans and buses. 23 of the total vehicles were cars and vans. There were 16 buses and thrice as many cars as vans. How many more cars than vans were there?
3 m
Level 2 PSLE
Penny and Jake bought a gift for their parents. They shared the cost equally between them. Penny used 38 of her savings while Jake used 12 of his savings. What fraction of their total savings was used to buy the gift?
3 m
Level 3
Mrs Goh paid a total of $4500 for a table and a television after a discount of 40%. The ratio of the original price of the table to the original price of the television was 1 : 2. Find the original price of the television before the discount.
4 m
Level 3
The table shows the number of children per household in an estate. Calculate the average number of children per household.
3 m
Level 3
There were an equal number of boys in Class A and Class B. 34 of the pupils in Class A are boys and 17 of the pupils in Class B are girls. Given that there are a total of 12 girls in the two classes, how many pupils are there in Class B?
3 m
Level 3
The table shows the number of sweets received by each child at a funfair. Calculate the average number of sweets received by each child.
3 m
Level 3
Jill spent 910 of her money on 20 muffins and 5 croissants. If each muffin costs twice as much as a croissant, how many croissants could Jill buy with the rest of her money?
3 m
Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
3 m