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?
5 m
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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?
4 m
Level 3 PSLE
Annie and Bindy made some butter muffins and raisin muffins. Annie made 33 more butter muffins than raisin muffins. Bindy made 65 more raisin muffins than butter muffins. The total number of butter muffins made up 42% of the total number of muffins they made. How many raisin muffins did they make altogether?
4 m
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?
5 m
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?
4 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
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?
4 m
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?
5 m
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?
4 m
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.
5 m
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?
4 m
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?
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
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Level 3
Zoe had some yellow stickers and pink stickers in 2 baskets. In Basket A, the ratio of the number of yellow stickers to pink stickers was 6 : 5. In Basket B, the number of yellow stickers was 2 times the number of pink stickers. Zoe transferred 25 of the pink stickers from Basket A to Basket B. The number of stickers in Basket A became 144 and the ratio of the number of yellow stickers to pink stickers in Basket B became 6 : 7.
  1. How many pink stickers were transferred from Basket A to Basket B?
  2. What was the number of stickers in Basket B after the transfer?
5 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
Xuan, Penny, Kate and Violet went to buy a gift for their grandmother. They shared the cost equally among themselves. However, Violet forgot to bring her money. So, the other 3 girls paid for the gift first. Kate paid 35 of the amount Xuan and Penny paid. Penny paid $11 more than Xuan. The next day, Violet returned $76 to Kate and some money to Xuan and Penny. How much did Violet return to
  1. Xuan?
  2. Penny?
5 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