Level 3
Queenie and Violet collect pens. Queenie gave 50% of her pens to Violet and as a result, Violet's pens increased by 40%. If Queenie has 84 pens left, find the number of pens Violet must give to Queenie in the end so that they have equal number of pens.
3 m
Level 3
The ratio of Henry's total points to that of Vincent's in a mock test was 6 : 7. In the next mock test, Henry's points increased by 70%. By what percentage must Vincent's points be increased if their total points were to be the same? Round off the answer(s) to the nearest whole number.
3 m
Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave 13 of her beads to Gillian. In return, Gillian gave 15 of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?
4 m
Level 3
At a fruit stall, there were 399 mangosteens and lemons. 34 of the mangosteens and 23 of the lemons were sold. In the end, there were same number of mangosteens and lemons. How many more mangosteens than lemons were sold?
3 m
Level 3
Queenie baked 390 cookies and cupcakes. After she gave 0.3 of the cookies and 0.4 of the cupcakes to her friends, she was left with an equal number of cookies and cupcakes. How many cookies had she left?
4 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
Olivia has 60% as many erasers as Penny. Penny has 180% as many erasers as Kate. If Penny gives 30 erasers to Kate, both will then have an equal number of erasers. Find the average number of erasers the three of them have.
3 m
Level 3
Three women, Mrs Zhang, Mrs Lin and Mrs Yap went on a shopping spree. 30% of Mrs Zhang's spending is equal to 15 of Mrs Lin's spending. Mrs Yap's spending is 40% more than Mrs Lin's. If Mrs Lin spends another $804, she will spend the same amount of money as Mrs Yap.
  1. Find the ratio of Mrs Zhang's spending to Mrs Lin's to Mrs Yap's.
  2. How much did Mrs Zhang spend?
4 m
Level 3
The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 20% of the biscuits in Container H and 0.6 of those in Container J were round. After transferring the biscuits between the 2 containers, the number of square biscuits in both containers are the same. Likewise, the number of round biscuits in both containers are the same. If a total of 162 of biscuits were moved, how many more biscuits were there in Container H than Container J at first?
5 m
Level 3
Two hours ago, a stallholder started his day with some durians and Fuji apples in the ratio of 5 : 2. There were 100 Fuji apples. Some of the durians were bought by Mrs Olivia. As a result, the number of durians became 35 of the Fuji apples.
  1. How many durians did the stallholder have left?
  2. How many durians must the stallholder buy in order to have an equal number of durians and Fuji apples?
4 m