Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave ¹₃ of her beads to Gillian. In return, Gillian gave ¹₅ of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?

Level 3 PSLE
Andy had $180 and Benny had some money at first. After Andy spent $79 and Benny spent 35% of his money, they had a total of $140 left. How much money did Benny have at first?

Level 3
Hazel had $300 more than Wendy. Hazel gave ³₅ of her money to Wendy. Wendy then gave 25% of her money to Hazel. In the end, Wendy had $186 more than Hazel. How much did Hazel have at first?

Level 3
Kate had $280 more than Natalie. Kate gave ³₅ of her money to Natalie. Natalie then gave 25% of her money to Kate. In the end, Kate had $146 less than Natalie. How much did Kate have at first?

Level 3 PSLE
Lina baked a total of 40 large and small cakes in the ratio of 5 : 3. She decorated each cake with some strawberries in the ratio of 3 : 2. She used a total of 204 strawberries to decorate all the small cakes and 7 large cakes.

1. How many small cakes did Lina bake?
2. What was the number of strawberries used to decorate all the small cakes?
3. How many more strawberries did Lina need to decorate the remaining large cakes?

Level 3
There were pink, yellow and blue stamps in a container. Sean put another 6 pink stamps and 10 blue stamps in the container, then the ratio of the number of yellow stamps to the number of blue stamps became 5 : 3. Then, he doubled the number of pink stamps and removed 28 blue stamps. The ratio of the number of pink stamps to yellow stamps became 2 : 1. He counted and found that there were a total of 62 stamps left in the container. Find the number of pink stamps that he had at the beginning.

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
Three cartons, W, X and Y contained a certain number of pens. Carton Y contained ²₇ as many pens as W and X combined. There were 98 more pens in Carton W than in Carton Y. Carton X contained 127 more pens than Carton Y. How many pens were in Carton X?

Level 3
Henry's salary to Ken's salary is 5 : 7. The former saves $320 while the latter saves $232. If Ken's spending to Henry's spending is in the ratio of 8 : 5, what are Henry's and Ken's salaries respectively?
(a) Henry
(b) Ken

Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?

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
Oscar bought some mangosteens and coconuts in the ratio of 2 : 5 respectively. The cost of a mangosteen was $1.50 more than the cost of a coconut. He spent a total of $81 buying the mangosteens and coconuts. The total cost of the coconuts was $9 more than the total cost of the mangosteens. How much did 1 mangosteen cost?

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
Lisa had four baskets, C, D, E and F which contain a total of 351 kiwis. She transferred 7 kiwis from basket C to basket D, 24 kiwis from basket D to basket E and 38 kiwis from basket E to basket F. The ratio of the number of kiwis in basket C to basket D to basket E changed from 4 : 8 : 11 to 1 : 3 : 9. How many kiwis were in basket F at first?

Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.

1. How many pages were there altogether in the set of notes?
2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?

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
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?