Level 3
Class 5 Goodness and 5 Love had the same number of students. The ratio of the number of girls in 5 Goodness to the number of girls in 5 Love was 1 : 13. The ratio of the number of boys in 5 Goodness to the number of boys in 5 Love was 7 : 1.
  1. What is the ratio of the number of boys to the number of girls in Class 5 Goodness?
  2. If there were 33 fewer boys than girls in Class 5 Love, how many students were there each class?
4 m
Level 3
David, Ethan and Tim have some marbles. The ratios of their marbles are as follows:

David : (David + Ethan + Tim) = 1 : 5
Ethan : (David + Tim) = 1 : 3

Tim has 42 marbles more than Ethan. In the end, Tim gives away all he has to Ethan and David so that both Ethan and David end up with the same number of marbles, how many marbles has Ethan received from Tim?
4 m
Level 3
Sean, Tim, Fred and Mark paid a total of $132 for a souvenir. Mark paid 38 of what the rest paid. Sean paid 20% of what the rest paid. Tim and Fred paid an equal amount of money. How much did Fred pay?
4 m
Level 3
Four boys, Vincent, Asher, Oscar and Zane saved some money. Asher's savings was 512 of the total savings of Vincent, Oscar and Zane. Vincent's savings was 20% of the total savings. Oscar's savings was 12 of the total savings of Asher and Zane. If Asher's savings was $10650, how much less was Vincent's savings than the total of the other 3 boys?
4 m
Level 3
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took 35 as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.
4 m
Level 3
$258 is to be divided among a certain number of people. Half of the people received $3 each, 512 of the people received $4 each and the rest received $5 each. How many people are there altogether?
3 m
Level 3
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Level 3
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The rest are red and yellow stickers in the ratio 2 : 3.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 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
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