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
Level 3
Albert had $2.20 less than Caden. After Albert gave $2.50 to Caden, Caden would have thrice as much money as Albert. How much money had Caden at first?
4 m
Level 3
Rachel had 3 times as much money as Paul. After Rachel spent 12 of her money and Paul spent 35 of his money, they had a total of $1615 left.
  1. How much money did Rachel and Paul have altogether at first?
  2. Paul spent 35 of his remaining money on a pair of headphones. What fraction of his original amount of money did he spend on the pair of headphones?
5 m
Level 2
There was 11 ? of water in a pail and 1.8 ? of water in a basin. Warren then poured in an equal volume of water into each container. Now, the volume of water in the pail is 5 times in the basin. How much water did Warren pour into each container?
2 m
Level 3
Abigail and Charlie received $656 in total from their father. After Abigail spent 25 of her money and Charlie deposited 511 of his money into his savings account, Abigail had thrice as much money as Charlie.
  1. Find the amount of money Abigail received from her father.
  2. If Charlie' savings increased by 25% after the deposit, how much was Charlie' savings in the bank in the end?
5 m
Level 3
The ratio of Yvette's money to Linda's money was 1 : 3. After Yvette spent thrice as much as Linda, Yvette and Linda had $6 and $42 left respectively. Find the amount of money each of the girls have at first.
  1. Yvette
  2. Linda
5 m
Level 3
Charlie bought $642 worth of staplers and pens. He bought thrice as many pens as staplers. He spent $334 more on pens than on staplers. Each stapler cost $1.60 more than each pen. Find the price of a stapler.
4 m
Level 3
Class A, B and C were given some chocolate bars to sell for their fundraising event. The average number of chocolate bars the 3 classes had at first was 225. After Class B sold twice as many chocolate bars as Class A and Class C sold 34 as many chocolate bars as Class B, the average number of chocolate bars the 3 classes had left was 45. How many chocolate bars did Class A and Class C sell altogether?
4 m
Level 3
60% of the sweets in Packet A were blueberry sweets and the rest were strawberry sweets. Packet B had 25% more blueberry sweets than packet A and twice as many sweets than the total number of sweets in Packet A. Find the percentage of the strawberry sweets in Packet B that would need to be transferred into Packet A, so that there were an equal number of blueberry and strawberry sweets in Packet A.
4 m