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
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
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
2 honeydews and 3 mangosteens cost $2.20 altogether. 5 honeydews and 5 mangosteens cost $4.40 altogether. How much do 10 honeydews cost? Give the answer to 2 decimal place.
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
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
On a shelf, there were 28 T-shirts and hoodies. Mr Lin spilt hot chocolate on the shelf and stained 50% of the hoodies and 20% of the T-shirts. If 20 T-shirts and hoodies were still clean, how many stained hoodies were there?
4 m
Level 3
Ethan had 40% as many beads as Ben. After Ethan and Ben bought another 50 beads and 15 beads respectively, Ethan had 50% more beads than Ben. How many beads did Ethan have at first?
4 m