Level 2
In the figure, MN, PQ and RO are straight lines. ∠POR = 39°. Given that ∠RON is half as big as ∠NOQ, find ∠MOQ.
3 m
Level 3
The average mass of a group of girls is 45 kg. If one more girl who weighs 75 kg joins the group, the new average mass of the group will become 48 kg. Find the total number of girls in the group.
3 m
Level 3
The average number of pages Joan read in a certain number of days was 15. In the next four days, Joan read another 88 pages. As a result, the average number of pages she read increased to 17. How many days did Joan read in total?
3 m
Level 3
Luis drew lines to form triangles and stars. He drew 7 more triangles and stars. The number of lines drawn for the triangles was the same as the number of lines drawn for the stars. What fraction of the shapes that Luis had drawn were stars?
3 m
Level 2
Liping had just enough money to buy 90 notebooks of the same price. She bought only 30 notebooks for her students and had $120 left. What was the cost of one notebook?
3 m
Level 3
The average test score of a class was 60 marks. After two students who scored an average marks of 96 marks transferred out of the class, the average score of the remaining students became 58 marks. How many students were there in the class at first?
3 m
Level 3
The average amount of money collected by a group of students at a flag day event was $125. When another 15 students turned up to help, the total amount donated increased by $1275 and the average amount of money collected became $113. How many students were there in the group at first?
3 m
Level 3
Charlie bought 54 more stickers than John and John bought 17 stickers more than Ann. The total number of stickers Charlie and John bought was 6 times the number of stickers Ann bought.
  1. How many stickers does Charlie need to give John so that they have the same number of stickers?
  2. How many stickers did all three of them have altogether?
3 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
The number of banana puffs Caden baked was 47 of the total number of puffs. After baking another 98 banana puffs, the number of banana puffs became 67 of the total number of puffs. How many puffs did she bake at first?
3 m