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
Level 3
The figure shows an irregular 5-sided figure and a square. The area of the five-sided figure was three times the area of the square. After the shaded part was removed, the area of the remaining square became 15% of the total remaining area of both figures. If the area of the shaded part is 16 cm2, find the remaining area of the 5-sided figure.
4 m
Level 3
Faith baked a total of 350 muffins and puffs. After giving away 80% of the puffs and 75% of the muffins, she was left with twice as many puffs as muffins. Find the number of puffs Faith gave away.
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 3
There are 200 more teachers in School X than in School Y. After 25% of the teachers left School X and 50% of teachers left School Y, the number of teachers who remained in School X is thrice that of the number of teachers in School Y. Find the number of teachers in School X at first.
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
The length of ribbon A and ribbon B is 30.55 m. The total length of ribbon B, C and D is 58.93 m. The length of ribbons C, D and E is 64.53 m. Ribbon E is twice the length of ribbon A. Find the length of ribbon A. Give the answer in metres.
4 m
Level 3
A box containing 60 folders had a mass of 5.01 kg. A box containing 25 post-it-pads has a mass of 6.21 kg. The mass of each post-it-pad was thrice that of each folder. Find the mass of the empty box in grams.
4 m
Level 3
A laptop costs $360 more than a tablet. 4 such tablets cost as much as 2 handphones. If each handphone costs $720. Find the cost of 3 laptops.
4 m