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
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
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
Figure A shows a rectangular container. It is 35 filled with water. The length of the container is 18 cm and its breadth is 3 cm.
  1. Find the capacity of the container in litres.
  2. All the water in the rectangular container is poured into another tank as shown in Figure B. Find the height that represents the water level of the amount of water in it.
4 m
Level 3
The total number of fish fingers produced by Machine B and Machine C was 332. The total number of fish fingers produced by Machine B and Machine D was 327. The total number of fish fingers produced by Machine C and Machine D was 367. Find the average number of fish fingers produced by 3 machines.
3 m
Level 3
The figure, not drawn to scale, is made up of 2 triangles, AGH and EGH. AB is 12 of EF. CD is 23 of AB and the difference between EF and CD is 12 cm. Given that HG = 10 cm, find the area of the entire figure.
3 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 figure is made up of a four-sided figure and a circle. The area of the four-sided figure is 37 of the area of the circle. Given that 13 of the circle is shaded and the area of the shaded part is 42 cm2, what is the difference between the area of the circle and the area of the four-sided figure?
3 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
The figure, not drawn to scale, is made up of two identical squares, X and Z and a rectangle Y. The ratio of the area X to the area of Y to the area of Z is 1 : 2 : 1. The ratio of the unshaded part of X to the unshaded part of Z is 2 : 3 respectively. Given that half of the area of X is shaded and the total area of all the shaded parts is 48 m2, what is the area of the whole figure?
3 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
Level 2
The figure is made up of identical rectangles. Find the area of the shaded rectangle.
3 m
Level 3
Lina, Ron, Evelyn and Henry share the same hobby of collecting stamps. The average number of stamps collected by the 4 friends is 25. Ron collected 8 more stamps than Evelyn but 15 fewer stamps than Lina. Henry collected 3 stamps fewer than Evelyn. Find the average number of stamps collected by Ron, Evelyn and Henry. Round off the answer to the nearest whole number.
4 m
Level 3
Container A and B are identical containers with the same base area and height. Container A is filled to the brim with water while Container B is empty. After 240 cm3 of water is poured into Container B from Container A, the depth of water in Container B is 14 the depth of water in Container A. If the height of the container is 25 cm, what is the base area of Container B?
4 m
Level 3
The figure is made up of 6 similar rectangles of length 20 cm. Find the area of the shaded parts.
3 m
Level 3
In a shop that sells t-shirts, 250 blue t-shirts were sold weekly and 25% of the remaining t-shirts that were sold were red. Of the leftover, 40% of the t-shirts sold were yellow t-shirts and the rest were black t-shirts. Given that the number of black t-shirts sold was 20% of the total number of t-shirts sold, how many red and blue t-shirts were sold altogether?
4 m