Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
4 m
Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
4 m
Level 3
Tina and Sarah have some cupcakes each. If Tina gives Sarah 49 cupcakes, Tina will have 34 as many cupcakes as Sarah. If Tina gives Sarah 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Tina have at first?
4 m
Level 3
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?
5 m
Level 3
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave 15 of the amount she had to Yvonne. On Monday, Yvonne gave 14 of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?
4 m
Level 3
Tom and Jerry had $160 altogether. Jerry gave 47 of his money to Tom. After that, Tom gave 35 of his money to Jerry. In the end, Tom had 14 of the total sum of money. How much did Tom have at first?
4 m
Level 3
10 days ago, Ruth had a total of 250 green and violet stickers. 40% of her stickers were violet stickers. Today, her father gave her some more stickers. As a result, her green stickers increased by 30%. Now, 50% of her stickers are violet stickers. How many violet stickers did her father give her?
5 m
Level 3 PSLE
At John's fruit stall, 34 of the apples were red and the rest were green. He sold half of the total number of apples. 16 of the apples sold were green. 28 green apples were left. How many red apples did John sell?
4 m
Level 3
Roshel had some peaches and oranges in 2 baskets. In Basket A, the number of peaches to the number of oranges was in the ratio of 5 : 9. In Basket B, there were thrice as many peaches as oranges. After Roshel transferred 13 of the oranges from Basket A to Basket B, the number of fruits left in Basket A was 187 and the ratio of the number of peaches to the number of oranges in Basket B became 7 : 8. How many fruits were in Basket B in the end?
5 m