Level 3
Rael and Ethan had some coins in the ratio of 11 : 6. Ethan and Sean had some coins in the ratio of 2 : 1. Rael sold 112 coins to Sean and ended up with half the number of coins Ethan had. How many coins did Sean have in the end?

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?

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?

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?

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?

Level 3
Ken has 30% more stamps than Vincent. Tim has 80% the number of stamps Ken has.

1. What is the ratio of the number of Vincent's stamps to the number of Tim's stamps?
2. If the total number of stamps of Ken's and Tim's is 150 more than Vincent's, how many stamps does Ken have?

Level 3
During a telematch, each group of students was supposed to collect as many coloured candies as possible. Each colour represented a certain point as tabulated:

Yellow 3 points
Pink 6 points
Blue 7 points

In each container, the number of yellow candies was 20% more than the number of blue candies and 10% less than the number of pink candies. Given that the total possible points if the group managed to collect all the candies were 558 points, how many candies were not yellow in colour?

Level 3
25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?

Level 3
There were some grapefruits and durians in Container A and Container B. In Container A, the ratio of the grapefruits to the number of durians was 3 : 1. In Container B, the ratio of the number of grapefruits to the number of durians was 3 : 2. There were 2 times as many fruits in Container A as in Container B. After 56 durians were put into Container B, the ratio of the number of grapefruits to the number of durians in Container B became 1 : 2. How many fruits were there in Container A?

Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.

Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.

Level 3
At a fun fair, there were 3 times as many males as females. ⁵₉ of the males were boys and the rest were men. ²₃ of the females were women and the rest were girls. Given that there were 104 more boys than girls, how many children were there altogether?

Level 3
¹₂ of the pupils in a school were girls and the rest were boys. ²₅ of the girls and ²₃ of the boys took part in a school event. 364 pupils did not take part. How many more girls were needed to take part in the school event so that it would be equal to the same number of boys who took part in the event?

Level 3
Zoe spent $54 on some apples, oranges and grapefruits in the ratio of 1 : 5 : 3. The number of apples was ¹₂ the number of oranges. The ratio of the number of grapefruits to the number of oranges was 3 : 2. The apples were sold at 2 for a dollar.

1. How many fruits did she buy altogether?
2. How much did each orange cost?

Level 3
Ruth spent $84 on some staplers, markers and files. The ratio of the amount of money she spent on the staplers, markers and files was 5 : 8 : 1. The markers were sold at 10 for $4. The number of staplers she bought was ¹₂ the number of markers. The number of files she bought was ³₅ the number of markers. Find the price of 1 stapler.

Level 3
A total of 846 white rulers and violet rulers are in a container. The ratio of white rulers to violet rulers was 1 : 2. Some pink rulers and yellow rulers were put into the container. For every 4 violet rulers that were already in the container, 14 yellow ones were added. Then the final number of white rulers and pink rulers was ¹₂ the final number of violet rulers and yellow rulers. Find the total number of pink and yellow rulers.

Level 3
England and Thailand took part in Youth Games. From England, the ratio of the number of male supporters to the number of female supporters was 1 : 3. From Thailand, the ratio of the number of male supporters to the number of female supporters was 3 : 5. The total number of supporters from England was ²₅ the total number of supporters from Thailand.

1. What was the ratio of the number of male supporters from England to the total number of male supporters from both countries? Express the answer in the simplest form.
2. After 1956 male supporters from both countries left, the percentage of all the female supporters became 74%. How many more female supporters from Thailand than England were there at first?

Level 3
Alfred had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were three times the number of small peaches.
The price of each peach are as follows:
Small $4
Medium $7
Large $9

He sold all the small and medium peaches. He received $360 from selling ¹₃ of the large peaches.

1. How many large peaches did he have at first?
   
2. How much less did he collect from selling the small peaches than the medium peaches?

Level 3
Kate had some fruits at her stall. ³₄ of them were mangosteens, ¹₃ of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold ¹₄ of the fruits and earned $198. How many coconuts did she have at first?