Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
5 m
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?
4 m
Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?
4 m
Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.
  1. Yvette
  2. Linda
5 m
Level 3
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, 34 of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?
5 m
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?
5 m
Level 3
In a factory, Machine A was turned on first and it produced 313 wontons. Then Machine A and Machine B were turned on at the same time to continue production. For every 4 wontons Machine A produced, Machine B produced 6 wontons. Machine B produced 45 less than 12 of the total number of wontons produced. How many wontons were produced altogether?
5 m
Level 3
The average number of playing cards Brendon and Ricky had was 450. The average number of playing cards Brendon and Jonas had was 240. If the ratio of Ricky's playing cards to Jonas's playing cards was 5 : 2, find the number of playing cards Brendon had.
4 m
Level 3
Oscar Mobile Company has a few mobile phone service plans. Plan A offers 270 SMS and 90 minutes of talk time for $25.20. Plan B offers 370 SMS and 190 minutes of talk time for $35.20. Oscar Mobile Company is also going to launch Plan C which offers 170 SMS and 260 minutes of talk time. How much should Oscar Mobile Company charge for Plan C if the cost per SMS and the cost per minute of talk time do not vary across the three plans?
5 m
Level 3
A carton packed with 1 packet of rice weighs 5.62 kg. The same carton when packed with 4 such packets of rice weighs 21.43 kg.
  1. Find the mass of 1 packet of rice in kg.
  2. Find the mass of the empty carton in kg.
4 m
Level 3
There were 229 lemons and soursops in a stall at first. After 15 of the lemons and 12 of the soursops were sold, there were a total of 182 lemons and soursops now. How many lemons are there now?
4 m
Level 3
Asher has a total of 94 of blue and yellow lollipops. 16 of the blue lollipops and half of the yellow lollipops are new. How many of his yellow lollipops are new if he has a total of 27 new lollipops?
4 m
Level 3
Gillian bought 35 as many stamps as stickers at first. After she bought another 10 stamps and 29 stickers, there were 47 as many stamps as stickers. How many stamps and stickers did Gillian buy at first?
4 m
Level 3
The number of 20-cent coins in a basket was 100% more than the number of 10-cent coins. 13 twenty-cent coins were taken out and exchanged for 10-cent coins. The number of 20-cent coins became 58 less than the number of 10-cent coins. How much money is there in the basket?
5 m
Level 3
Lisa bought 58 as many shortbreads as cookies at first. After she bought another 5 shortbreads and 76 cookies, there were 15 as many shortbreads as cookies. How many shortbreads and cookies did Lisa buy at first?
4 m
Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is 14 of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.
  1. What is the largest possible amount of money Vincent has?
  2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.
5 m
Level 3 PSLE
Risa baked 185 more chicken puffs than tuna puffs. After selling 35 of the chicken puffs and half of the tuna puffs, she had 146 puffs left. How many puffs did she sell?
4 m
Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?
5 m
Level 3
Zane had $120 less than Xavier. If Xavier spends $460 and Zane's mother gave Zane $200, Xavier will have 14 as much money as Zane. How much money did Zane and Xavier have?
4 m
Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?
5 m