Level 3
The figure is not drawn to scale. ∠BAC = 40°, BA = BC and AF//BE. Given that ∠z is 12 of ∠x and ∠z is 3 times of ∠y, find
  1. ∠z
  2. ∠w.
4 m
Level 2
In a room, 57 of the girls wore cardigans. After 86 girls who wore cardigans left the room, the percentage of girls who wore cardigans decreased to 10%. How many girls in the room did not wear cardigans?
2 m
Level 2
1104 people went to a park. 38 were adults. Some children left halfway and the ratio of the number of adults to the number of children became 6 : 7. How many children left the park halfway?
2 m
Level 3
There were some pencils in Box A and Box B. After Carl transferred 34 of the pencils from Box A to Box B, the ratio of the number of pencils in Box A to that in Box B changed to 2 : 9. Find the ratio of the numbers of pencils in Box A to the number of pencils in Box B at first.
3 m
Level 3
At a stall, the ratio of watermelons to coconuts was 8 : 13. After Kate bought two-thirds of the coconuts, there was a total of 111 watermelons and coconuts left at the stall. How many fruits were there at first?
3 m
Level 3
At a zoo, there were 35 as many adults as children at first. After 46 adults left, there were 116 more children than adults remaining at a zoo. How many adults were at the zoo at first?
3 m
Level 2
Vincent had 710 as many stamps as Isabelle. After Vincent bought another 30 stamps, he had 15 less stamps than Isabelle. How many stamps did Vincent have at first?
2 m
Level 3
The amount of Isabelle's salary to Sarah's salary is 2 : 9. If Isabelle spends 35 of her salary, she will have $902 less than Sarah. How much salary does Sarah have?
3 m
Level 3
Hazel had $300 more than Wendy. Hazel gave 35 of her money to Wendy. Wendy then gave 25% of her money to Hazel. In the end, Wendy had $186 more than Hazel. How much did Hazel have at first?
4 m
Level 3
Kate had $280 more than Natalie. Kate gave 35 of her money to Natalie. Natalie then gave 25% of her money to Kate. In the end, Kate had $146 less than Natalie. How much did Kate have at first?
4 m