7. Kenny and Joan had some stickers. Kenny had thrice as many stickers as Joan. Kenny used 23 of his stickers and gave 25 of the remainder to Joan. Kenny then had 30 stickers left. How many stickers did Joan have at the end? NH08C39
8. π
π of the marbles in a box are red. π
π of the remaining marbles are blue and the rest are yellow. There are 280 more yellow marbles than blue marbles. How many red marbles are there? HK08P42
2009
9. Mrs Liu spent 1
5 of her monthly salary on a handbag, 4
7 of the remainder on a vacuum
cleaner and saved the rest of her monthly salary. If she saved $1890, what was her monthly salary? PL09P12
10. Tricia has some pink, red and yellow ribbons. 1
3 of them are pink ribbons. Four fewer
than 13 of the remainder are red ribbons. The remaining 24 are yellow ribbons. How many pink ribbons does Tricia have? RG09P09
11. ππ of the audience in a hall are women. ππ of the remaining audience are men. The rest are children. If there are 266 boys in the hall and the number of girls is twice as many as the number of boys, find the number of men in the hall. SN09C15
12. Nadine spent ππ of her salary on food and ππ of the remainder on transport. Then she shared the rest of the salary equally with her siblings such that each of them received
π
ππ of her total salary.
(a) How many siblings does Nadine have?
(b) Given that Nadine and her siblings received $208 each, how much money did Nadine spend on transport? SN09C14
2010
13. There are some roses in a box. 1
4 of them are yellow and 1
3 of the remaining roses are
pink. The rest are red. If there are 18 more red roses than yellow ones, how many roses are there in the box? SN10P01
14. Alexa received a number of text messages on her mobile phone. π
ππ of them were from her superiors, π
π were from her parents and π
π of the remaining text messages were from her cousins. There were a total of 559 text messages from her superiors and parents. How many text messages did Alexa receive from her cousins? SN10C15
15. James had some money. He spent 13 of his money on food and 13 of the remainder on transport. What fraction of his money was left? RY10C02
16. Mr Li earns $36600 a year. Every month, he spends ππ of his salary on his family expenses and gives ππ of his remaining salary to his mother. How much of his salary is he left with every month? RY10S08
2011
17. Fred was given some pocket money. He spent 1
3 of his money to buy games and saved 2 3
of the remainder. He used the rest of the money onfood. If he spent $120 altogether, how much did he save? CH11P07
18. In a garden, π
π of the flowers are lilies. π
π of the remainder are roses and the rest are sunflowers. There are 568 more roses than lilies. After ππ of the lilies are sold, how many flowers are left in the garden? RY11C14
19. In a countdown concert, half of the audience was adults, and 13 of the remaining audience were boys and the rest were girls.β¨Given that there were 2338 girls in the concert, how many people attended the concert? RG11S06
20. A toy purchaser bought some toy trains and toy cars. A toy train cost 6 times as much as a toy car. He spent π
π of his money on buying toy cars and π
π of his remaining money on 7 toy trains. How many toy cars did he buy? RG11P09
21. Cathy spent 15 of her money on pens and 58 of her remaining money on 2 books. Each book cost 15 times as much as a pen. How many pens did she buy? NH11P07
2007
1. 34 of Aliceβs salary is the same as 12 of Bettyβs salary. If Alice earns $200 less than Betty, how much does Betty earn? NH07S37
2008
2. 5
8 of Divaβs money is the same amount as 1
2 of Rashidβs money. Diva has $14 less than
Rashid. How much money do Diva and Rashid have altogether? RY08S37
3. There are 1425 cows and sheep in a farm. π
π of the cows is equal to π
π of the sheep. (a) How many cows are there in the farm?
(b) How many more cows than sheep are there in the farm? MB08S37
4. ππ of Markβs coins is ππ of Sitiβs coins. All of Markβs coins are 50-cent coins, while Siti has a combination of 50-cent and 20-cent coins. Mark has 16 more coins than Siti. If Siti gives half of her 20-cent coins to Mark, Mark will have $42.40. How much money did Siti have at first? MG08P44
5. Among the commuters on board a train, the number of children to the number of adults was in the ratio 3 : 4. ππ of the number of women was equal to ππ of the number of men.
(a) What is the ratio of the number of men to the number of women to the number of children?
(b) When 108 commuters alighted from the train, the number of men decreased by π π and the number of children decreased by ππ. How many commuters were left on board the train? SN08P47
2009
6. A bag contains some green, red and blue marbles. ππ of the red marbles is equal to ππ of the green marbles. The number of blue marbles is ππ of the total number of green and red marbles. If there are 12 more blue marbles than green marbles, how many marbles are there in the bag altogether? CH09P07