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
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
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
Container W and Container X were filled completely with sugar. The total mass of 15 of the sugar in Container W and 111 of the sugar in Container X was 640 g. If 411 of the sugar in Container X was poured out, the total mass of the sugar in both containers became 3.54 kg. How much sugar was in
  1. Container W?
  2. Container X?
4 m
Level 3
One part of a car wheel was stained with paint on its surface. The diagram showed the tyre marks made by the car wheel when the vehicle moved through a certain distance. Find the radius of the car wheel. Round off the answer to 2 decimal place. (Take π = 227)
3 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