Level 3
Henry, Jack and Liam sold some calculators. Liam sold 30% of the total number of calculators sold by Jack and Henry. Henry sold 20% of the total number of calculators sold by Jack and Liam. Jack sold 87 more calculators than Liam. Find the total number of calculators sold by all the boys.
3 m
Level 3
The ratio of blue to purple stamps Eva had was 5 : 2. The cost of each of the blue stamps was $1 and the cost of each of the purple stamps was $2. Eva sold 40% of the blue stamps and the total cost of the unsold stamps was $455. How many blue stamps did she have left?
4 m
Level 3
Fabian, Gilbert and Henry had some marbles in the ratio of 2 : 3 : 5. Henry gave 40% of his marbles to Fabian and Gilbert. As a result, Fabian had the same number of marbles as Gilbert and Henry had 36 fewer marbles than Fabian.
  1. What was the percentage increase in Fabian's marbles after receiving from Henry?
  2. How many marbles did Gilbert have at first?
4 m
Level 3 PSLE
Study the pattern.
  1. Find the total number of white and grey triangles in Figure 100.
  2. Find the percentage of grey triangles in Figure 100. (Give the answer in decimals.)
4 m
Level 3 PSLE
The students of a test are divided equally into two groups. In the first group, there are 30 more boys than girls. In the second group, there are 12 more girls than boys. 40% of all the students are girls. How many students are boys?
4 m
Level 3
One minute ago, 80% of the students in a parade square were girls. 143 more students entered the parade square. As a result, the number of girls increased by 40% and the number of boys increased by 60%. How many students are in the parade square now?
4 m
Level 3
25% of the people are performers for a concert and the rest are spectators. 60% of the spectators are adults and there are 420 less child spectators than adult spectators. How many adult spectators must join so that 56% of the people are adult spectators?
4 m
Level 3
Peter has 70% as many marbles as George. If Peter gives away 50% of the marbles and George gives away 75% of his marbles, they will have 444 marbles altogether. How many marbles do the two of them have?
4 m
Level 3
Tim had 40% more muffins than Rael. Tim gave 20% of his muffins to Rael. Rael in return gave 50% of his muffins to Tim. In the end, Rael had 448 less muffins than Tim. How many muffins did Tim have at first?
4 m
Level 3
Half an hour ago, 50% of the people at a circus were females. 42 females and 2 males left afterwards. The remaining people were then told to form groups of 5. In each group, there were 3 males. How many people were there at the circus in the end?
4 m
Level 3
In a contest, two people will have to answer 100 questions each. They score 1 point for each correct answer. The contest has not ended yet. Each person has already answered 90 questions. Person A has answered 60% of the first 90 questions correctly. Person B has answered 50% of the first 90 questions correctly. What is the minimum number of points that Person A must get from the last 10 questions to win the contest?
4 m
Level 3 PSLE
Annie and Bindy made some butter muffins and raisin muffins. Annie made 33 more butter muffins than raisin muffins. Bindy made 65 more raisin muffins than butter muffins. The total number of butter muffins made up 42% of the total number of muffins they made. How many raisin muffins did they make altogether?
4 m
Level 3
At an event held at the stadium, 80% of the audience were adults. The female audience was made up of 70% of the children and 30% of the adults. There were 64 more girls than boys.
  1. How many people went to the stadium in total?
  2. Some women left before the event ended, after which 20% of the remaining people at the stadium were women. How many women left the stadium before it ended?
5 m
Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?
5 m
Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?
5 m
Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.
5 m
Level 3
Copier A prints at a rate of 105 leaflets in every 3 minutes and Copier B prints at a rate of 136 leaflets in every 4 minutes. At 2 p.m., both copiers started printing. After a while, Copier A stopped printing for some time as the ink cartridges were being changed before it continued to print again. Copier B continued printing during this time. At 4 p.m., the total number of leaflets printed during the past two hours was 7930. Express the number of leaflets printed by Copier A as a percentage of the total number of leaflets printed by both copiers. Round off the answer to 2 decimal places.
5 m