Level 3
Eva and Fiona went shopping with a total of $200. After Eva spent 34 of her money and Fiona spent $46, the ratio of Fiona's money became 3 times as much as Eva's money. Find the ratio of Eva's money to Fiona's money at first.
4 m
Level 3
Cathy had some coin collection. 14 of them were red and the rest were yellow. She gave away 135 of the yellow coins and 50% of the red coins. She then had 15 of her coin collection left. How many coins did Cathy give away?
4 m
Level 3
Liam had 57 as many 20-cent coins as 1-dollar coins in his piggy bank. Each time, four 20-cent coins and six 1-dollar coins were taken out from the piggy bank. In the end, only seven 20-cent coins and four 1-dollar coins were left in the piggy bank. How many more 1-dollar coins than 20-cent coins were there in the piggy bank at first?
4 m
Level 3
Aunt Tina baked 50 less cookies than muffins. After she gave 35 of the muffins and 0.7 of the cookies to Cathy, she was left with 88 fewer cookies than muffins. How many muffins did she bake?
4 m
Level 3
Lisa had 740 more candies than Anna. Lisa used 56 of her candies and Anna used 12 of her candies. In the end, Lisa had 2 times as much as Anna. Find the number of candies Anna had at first.
4 m
Level 3
Bryan's money was 335 times his sister's money. After his mother gave him $44 and his sister $122, Bryan then had twice as much money as his sister. How much money did Bryan have at first?
4 m
Level 3 PSLE
Ruth bought some lollipops and gave half of it to Asher. Asher bought some sweets and gave half of it to Ruth. Ruth ate 17 sweets and Asher ate 31 lollipops. The ratio of Ruth's sweets to lollipops became 1 : 5 and the ratio of Asher's sweets to lollipops became 1 : 3. How many sweets did Asher buy?
4 m
Level 3
A bag had some violet erasers and yellow erasers in the ratio of 3 : 1. Queenie removed 35 violet erasers and put another 15 yellow erasers into the bag. There is now 50% as many violet erasers as yellow erasers in the bag. How many violet erasers were in the bag at first?
4 m
Level 3
Mrs Goh paid a total of $4500 for a table and a television after a discount of 40%. The ratio of the original price of the table to the original price of the television was 1 : 2. Find the original price of the television before the discount.
4 m
Level 3
34 of Eva's money was equal to 12 of Anna's money at first. After Eva spent $1.70 and Anna spent $0.70, Eva had 35 as much money as Anna.
  1. How much did Anna have at first? Express the answer(s) in 2 decimal places.
  2. How much did Eva have in the end? Express the answer(s) in 2 decimal places.
4 m
Level 3
Paul had some apple macarons and apricot macarons. He gave away 160 macarons to his brother. 25% of them were apple macarons and the rest were apricot macarons. Paul gave some apple macarons to his sister. 25 of all the macarons he gave away to his brother and his sister were apple macarons.
  1. How many apricot macarons did he give his brother?
  2. How many apple macarons did he give his sister?
4 m
Level 3
14 of the number of sheep that Farmer Yang head was equal to 25 of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?
4 m
Level 3
Will, Xavier and George had a total of 670 pens. The ratio of the number of pens Xavier had to the number of pens George had was 4 : 5. After Will and Xavier each gave away half of their pens, the 3 children had 395 pens left. How many pens did Xavier and George have at first?
4 m
Level 3
Container A and Container B had 43 kg of sugar and 51 kg of sugar respectively. If 3 kg of sugar and 8.5 kg of sugar are added into Container A and Container B every day, how many days later will the sugar in Container A be half as much as the sugar in Container B?
4 m
Level 3
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up 25 of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?
4 m
Level 3
Rael, Peter and Zane had a total of 839 erasers. The ratio of Peter's erasers to Zane's erasers was 4 : 3 at first. Rael and Peter each gave away 12 of their erasers. Given that the three boys had 502 erasers left, how many erasers did Rael have at first?
4 m
Level 3
15 of the guests at a stadium were women. 80% of the remaining guests were men and the rest were children. The number of men was 476 more than the total number of women and children. After some men left the stadium, 20% of the guests that remained were men. How many men left the stadium?
4 m
Level 3
In an art class of 84 students, 0.125 of the girls passed the drawing test and 45 of the boys passed the drawing test. A total of 24 students passed the drawing test. How many girls failed the drawing test?
4 m
Level 3
Vincent and George had 852 notebooks together. Vincent had 210 more notebooks than George. Both of them sold some of their notebooks. George sold 20% less notebooks than what Vincent sold. In the end, George had half as many notebooks left as Vincent. How many notebooks had Vincent left?
4 m
Level 3
Yvonne and Anna have some pens. If Yvonne gives 45 pens to Anna, Anna will have 4 times the number of pens as Yvonne. If Anna gives 104 pens to Yvonne, Yvonne will have 13 as many pens as Anna. How many pens does Yvonne have at first?
4 m