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
Four years ago, Will's age was 25% of Ray's age. Eight years from their current age, Will's age will be 37.5% of Ray's age. How many years is Ray older than Will?
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
There are 25% more red crayons than blue crayons in a bag. After John removed 40% of the red crayons and increased the number of blue crayons by 10%, there are now 70 fewer red crayons than blue crayons. Find the number of blue crayons at first.
4 m
Level 3
Natalie sold lavenders and tulips in her shop on Mother's Day. 70% of the flowers she sold on that day were lavenders and she sold 81 tulips.
  1. What was the total number of flowers sold?
  2. 10% of the flowers in the shop were sold on that day. 10% of the flowers left were tulips. How many tulips were left?
4 m
Level 3
Marion had some red and pink marbles. If she gives away 16 red marbles, the number of red marbles will be 10% of the total number of marbles left. If she gives away 48 pink marbles, the number of red marbles will be 25% of the total number of marbles left.
  1. How many marbles does Marion have altogether?
  2. What fraction of Marion's marbles is pink?
4 m
Level 3
Dina spent 60% of her money on a number of pens. She spent 25% of the remaining money on a few highlighters and 50% of what was left on a number of sketchbooks.
  1. What fraction of her money was left?
  2. Given that the pens cost $36 more than the sketchbooks, find the sum of money Dina had at first.
5 m
Level 3
A philanthropist bought a total of $19380 worth of toys, textbooks and clothes to donate to the needy children. The number of clothes bought was 20% more than the number of toys bought but 20% fewer than the number of textbooks bought. The toy cost $12 each and was $2 more expensive than each textbook but 40% cheaper than each piece of clothes. How many toys and textbooks did the philanthropist donate to the needy children?
5 m
Level 3
Every week, Mrs. Tan will collect 40% more vitamin pills than Mrs Nurul from the pharmacy. They each consumed 14 vitamins weekly and will leave the rest for their family members to consume the rest. After some time, both ladies consumed a total of 364 vitamin pills and Mrs. Tan's family members consumed 468 more vitamin pills than Mrs. Nurul's family.
  1. How many members are there in Mrs. Tan's family, if they each consume 14 pills weekly?
  2. How many vitamin pills does Mrs Nurul collect from the pharmacy each week?
5 m