Level 3
In the figure, ABCD is a square of area 81 cm2. The length of AB is 3 times The length of BE. What is the area of Triangle ABE?
3 m
Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?
4 m
Level 3
Three cartons, A, B and C, contained 382 marbles. Hazel added some marbles into Carton A and the number of marbles in Carton A tripled. He took out half of the number of marbles from Carton B and added another 98 marbles into Carton C. As a result, the ratio of the number of marbles in Carton A, Carton B and Carton C became 6 : 2 : 9. What was the ratio of the number of marbles in Carton B to the total number of marbles in Carton A and Carton C at first? Give the answer in its lowest term.
4 m
Level 3
Find the area of the figure given that the area of the shaded part is 52 cm2 and The length of BC is twice that of AB.
3 m
Level 3
Andy, Benjamin and Caleb had a total of 698 cards at first. After a week, the number of Andy's cards became 3 times the number of cards he had at first. The number of Benjamin's cards decreased by 138. Caleb had half as many cards as he had at first. In the end, the three boys had the same number of cards.
  1. How many cards did Caleb have at first?
  2. What was the total number of cards that the three boys had in the end?
5 m