Level 3
Nera and Rose shared a bag of marbles. Nera had 40% as many marbles as Rose. When Rose gave 75 marbles to Nera, Nera had 40% more marbles than Rose. Find the total number of marbles the girls shared.
4 m
Level 3
The number of safety cones along the road was 55% of the number of trees planted along it. After 68 safety cones and 68 trees were added to the stretch of road, the number of trees became 20% more than the number of safety cones. How many trees were there at first?
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
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
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 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
If Kelly sells a hand phone at a discount of 20% of the usual price, she will make a profit of $40. If she sells it at a discount of 40%, she will incur a loss of $45. Find the price of the hand phone.
4 m
Level 3
If Jerome sells a camera at a discount of 5% of the usual price, he will make a profit of $75. If he sells it at a discount of 20%, he will still make a profit of $30. Find the cost price of the camera.
4 m
Level 3
If Melvin sells a television at a markup price of 10% above its usual selling price, he will make a profit of $500. If he sells it at a discount of 20% of its usual selling price, he will incur a loss of $100. Find the selling price of the television.
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
One book costs $48 at a shop. During a sale, for every 3 books bought, the 4th book can be bought at a discount of 15% off the original price. How many books does Ron buy if he pays $1944 altogether?
4 m
Level 3
The advertisement shows the cost of buying pencils from a stationery kiosk.
  1. Hilda bought 29 pencils. How much did she pay?
  2. Howard bought 100 pencils. How much did he pay?
4 m
Level 3 PSLE
Mr Devon bought an humidifier for $216 after a discount of 25%.
  1. What was the price of the humidifier before discount?
  2. He paid $128 for a fan. The total discount for the humidifier and fan was $104. What was the percentage discount given for the fan?
5 m
Level 3
A newly opened furniture store was having a storewide discount of 10% off its usual price. Mrs Tan used her credit card to purchase a sofa set and Mr Nair used cash to pay for a similar sofa set.
  1. How much did Mrs Tan pay in the end after GST? Round off your answer to the nearest cent.
  2. How much did Mr Nair pay in the end after GST? Round off your answer to the nearest ten cent.
5 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
Tammy baked 420 pies. 40% of them were peach pies. How many more peach pies must Tammy bake so that 80% of her pies are peach pies?
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