Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?

  1. 50-cent coins?
  2. $1 notes?
5 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
Leonard had $80 more than his sister. After Leonard spent 25% of his money and his sister spent 75% of her money, they still had $420 left altogether.
  1. How much did Leonard have left in the end?
  2. Express the amount of money his sister had left as a fraction of the amount of money Leonard had in the end. (Give your answer in the simplest form)
5 m
Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?
5 m
Level 3
A shop owner had three boxes, containing a total of 1500 plastic cups. The number of plastic cups in Box A to the total number of plastic cups was 3 : 10. He sold 330 plastic cups from Box B and sold 13 of the plastic cups in Box C. The number of plastic cups left in Box B to the number of plastic cups left in Box C was 3 : 1. How many plastic cups were there in Box B at first?
5 m
Level 3
25 of the crayons in a bag were red and the rest were blue and yellow. 20% of the blue crayons and 12% of the yellow crayons were thrown away. There was an equal number of blue and yellow crayons left. If there were 352 blue and yellow crayons left,
  1. what was the number of red crayons?
  2. what was the total number of crayons in the bag at first?
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
Jeremy has a crate containing some red and green grapes. If he adds in 10 bunches of red grapes, 0.6 of the bunches of grapes in the carton will be green grapes. If he adds in 30 bunches of green grapes, 34 of the bunches of grapes in the carton will be green grapes. How many bunches of grapes are there in crate?
5 m
Level 3
Benita's salary is 20% less than Amanda's salary and 40% less than Cecilia's salary. If Amanda's salary is $500 less than that of Cecilia's salary,
  1. Find Benita's salary.
  2. Given that Benita received a 20% pay cut, find Benita's new salary.
4 m