Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.

Level 3 PSLE
Nick had doughnuts and Ethan had scones. Both gave half of what they had to each other. Nick sold 8 doughnuts and Ethan sold 42 scones. In the end, the ratios of doughnuts to scones for Nick and Ethan were 1 : 5 and 1 : 3 respectively. How many doughnuts did Nick have at first?

Level 3
John spent ²₅ of his salary. He saved ³₇ of it. He then gave ³₈ of what was left to his son and gave the remaining amount of $300 to his daughter. What was John's salary?

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
John spent ²₅ of his salary. He saved ²₃ of the remainder. He then gave ³₄ of what was left to his son and gave the remaining amount of $100 to his daughter. What was John's salary?

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
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
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
149 pupils went for a Physical Fitness Test and 25 of them achieved Bronze certificates. ²₅ of the girls and ¹₃ of the boys achieved Bronze certificates. How many girls did not achieve Bronze certificates?

Level 3
There are 390 children in a tuckshop. ²₇ of the boys and ²₃ of the girls wear spectacles, there are 258 children in the tuckshop who do not wear spectacles. How many girls wear spectacles?

Level 3 PSLE
Matthew spent ³₇ of his money to buy 6 identical pens. He spent the rest of his money to buy another 4 such pens and 3 identical files.

1. What fraction of Muthu's money was spent to buy the 3 files? Give your answer in the simplest form
2. For every 5 files bought, 1 additional file was given free. How many files would Matthew get in total if he were to spend all his money to buy files only?

Level 3
Betty spent ⁴₅ of her money on 14 stamps and 5 pens. The cost of each pen is 2 times the cost of each stamp. She bought some more stamps with ²₃ of her remaining money. How many stamps did Betty buy altogether?

Level 3
John spent ³₇ of his salary and gave $880 to his wife. Of the remaining amount, he saved ¹₅ of it and gave ³₁₀ of it to his parents. He then donated ²₃ of what he had left away and gave the remaining $56 to his daughter. What was John's salary?

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?

Level 3
³₅ of Jack's savings is equal to ²₃ of Asher's savings. The difference in their savings is equal to ¹₅ of Fred's savings. Jack saves $90 more than Fred. Find the total amount of saving of all 3 boys.

Level 3
Hazel, Olivia and Diana had a total of 767 marbles. The ratio of Olivia's marbles to Diana's marbles was at first 4 : 7. After Hazel and Olivia each gave half of their marbles away, the 3 children had 527 marbles left. How many marbles did Hazel and Diana have at first?