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
Abigail and Charlie received $656 in total from their father. After Abigail spent ²₅ of her money and Charlie deposited ⁵₁₁ of his money into his savings account, Abigail had thrice as much money as Charlie.

1. Find the amount of money Abigail received from her father.
2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?

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
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
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
Cathy's shop sold bracelets and rings. The bracelets were sold at $100 each and each ring was sold at ⁴₅ of the price of each bracelet. Cathy sold ¹₄ of the items on the first day and collected $15580. ³₄ of the items sold on the first day were bracelets.

1. How many rings were sold on the first day?
2. What was the total number of items left after the first day?

Level 3
Tim had 672 coins. ²₇ were pink and the rest were yellow and blue. The ratio of the number of yellow coins to the number of blue coins was 1 : 3. Tim decided to buy some more pink coins to increase the number of pink coins to half of the total number of coins.

1. How many less yellow coins than pink coins did he have at first?
2. How many more pink coins did he have to buy?

Level 3
Mrs Yap had 40% more books than Mdm Zhang. Miss Lin had 20% fewer books than Mrs Yap. Mrs Yap and Mdm Zhang gave Miss Lin some books in the ratio of 1 : 4. As a result, Miss Lin had 50% more books than before. Given that Miss Lin had 423 more books than Mdm Zhang in the end, how many books did Mrs Yap give to Miss Lin?

Level 3
Olivia, Zoe, Betty and Natalie received a sum of money. Olivia received ³₈ of the total amount of money Zoe, Betty and Natalie received. Zoe received ¹₇ of the total amount of money Betty and Natalie received. Betty received ¹₃ as much money as Natalie. If Olivia received $275 more than Betty, find the total sum of money the 4 girls received.

Level 3
Jack, George, Henry and Asher shared $1495. Asher received ³₁₀ of the total amount of money received by Jack, George and Henry. Jack received ³₇ of the total amount for George and Henry. George received ²₃ as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?

Level 3
On Monday, 700 more youths than children attended a concert. On Tuesday, the number of youths decreased by 30% and the number of children increased by 80%. 1240 audience attended the concert on Tuesday. If each ticket cost $12, how much money was collected from the sale of concert tickets for the two days?

Level 3
In a thrift shop, the number of beads was ²₃ of the total number of beads and erasers together. The shopkeeper sold the beads and erasers in sets of 1 bead and 4 erasers. After selling all the erasers, he still had 133 beads left. How many erasers were in the thrift shop at first?

Level 3
At a carnival, the children were put into two groups. ⁴₅ of Group F were boys and ²₃ of Group G were girls. Group G had twice as many children as Group F. There were 18 fewer boys in Group F than Group G.

1. What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
2. What was the total number of children at the carnival?

Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded ⁵₆ of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.

1. How many fruits were there on his vehicle after visiting Stall Y?
2. How many avocados were delivered to Stall X?

Level 3
Asher had $460 more money than Oscar at first. After Asher spent ³₄ of his money to buy a pair of pants and Oscar spent ¹₅ of his money to buy a blouse, they had a total of $254 left. How much more did the pair of pants cost than the blouse?

Level 3
Kate had 96 more buttons than Violet. After Kate gave away ¹₃ of her buttons and Violet gave away ³₄ of her buttons, Violet had 199 less buttons than Kate. How many buttons did Kate have at first?