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 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
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
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
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
Tabitha wanted to buy some cookies and brownies. The cost of a cookie was 34 the cost of a brownie. A set of 3 cookies and 2 brownies cost $5.10. What was the total amount Tabitha had to pay for 17 cookies and 10 brownies?
4 m
Level 3
There are 177 boys and girls altogether. 23 of the number of boys is 18 more than the number of girls.
  1. How many boys are there?
  2. How many more boys than girls are there?
4 m
Level 3
Ana bought pieces of paper to make 3 lanterns. She used 15 of the pieces of paper on the first lantern. She used 40 more pieces of paper on the second lantern than the first lantern. She used the remaining 65 pieces of paper on the last lantern. How many pieces of papers did she buy?
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
Siti had some stickers at first. She gave 29 of her stickers to her brother and 16 of her stickers to her best friend. After that, her mother gave her another 10 stickers. She had 87 stickers in the end. How many stickers did Siti have at first?
4 m
Level 3
At first, a pot contained 25 ℓ of water. Keisha added another 12 ℓ of water into the pot. Then she used 29 of all the water in the pot. How much water did Keisha use? Express your answer as a fraction in its simplest form.
4 m
Level 3
14 of the flowers in a flower shop were sunflowers, 13 of them were carnations and the remaining 60 stalks were roses.
  1. How many stalks of flowers were there in the shop?
  2. At the end of the day, the number of flowers sold was 10 more than the number of flowers left. How many stalks of flowers were sold?
4 m
Level 3
There were 286 students in a school. On the school anniversary, 56 of the girls and 45 of the boys came in green caps. The rest came in yellow caps. The number of boys who wore yellow caps was four times of the girls who wore yellow caps. How many students were in green caps that day?
4 m
Level
Box A and Box B are identical. 78 of Box A and 35 of Box B are filled with sand. The mass of Box B with its contents is 79 the mass of Box A with its contents. The total mass of the two boxes with their contents is 528 kg. Find the mass of an empty box.
4 m
Level 3
Zoe, Fanny, Eric and Olivia shared some pens. Zoe and Fanny took 15 of the total number of pens while Eric and Olivia took the rest. Fanny had four times as many pens as Zoe and Olivia had 176 pens. Given that Eric had four times as many pens as Fanny, how many pens were there altogether?
4 m
Level 3
At a carnival, the children were put into two groups. 45 of Group F were boys and 23 of Group G were girls. Group G had twice as many children as Group F. There were 18 fewer boys in Group F than Group G.
  1. What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
  2. What was the total number of children at the carnival?
4 m
Level 3
Glen, Ken, Jenson and Justin shared 105 stickers. Jenson received 15 of the stickers. Glen received 16 of the total amount of stickers received by Ken and Justin. Justin received four times as much stickers as Ken.
  1. How many stickers did Glen receive?
  2. How many more stickers did Jenson receive than Ken?
4 m
Level 3
Serene spent 37 of her money on some pens. She spent 14 of the remaining money on a box of poster colors and 23 of what was left on some books.
  1. What fraction of her money was left?
  2. Given that the books cost $12 more than the box of poster colors, find the sum of money Serene had at first.
4 m
Level 3
Perry spent $162 on a jumpsuit. He spent 19 of his remaining money on a sweater. If he still had 49 of his money left, how much did he have at first?
4 m
Level 3
Risa had a sum of money. She spent $308 on a blouse and 58 of the remainder on a windbreaker. She was left with 110 of the original sum of money.
  1. What was the total amount Risa spent?
  2. How much money did Risa have at first?
4 m