Level 3
The mass of 4 children, Mandy, Nellie, Peter and Richie were taken. Only 3 children can be weighed at one time. Mandy, Nellie and Peter weighed a total of 55 kg. Nellie, Peter and Richie weighed a total of 56 kg. Mandy, Peter and Richie weighed a total of 57 kg. Mandy, Nellie, and Richie weighed a total of 60 kg. What is the average mass of the 4 children?

Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.

Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.

Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?

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?

Level 3
If Joey and Vic work together on a project, they will complete it in 4 days. If Vic were to work with Richard on the same project, they will take a day longer. If Richard and Teddy work together, they will take 100% more time than Joey and Vic. If Joey and Teddy were to work together, how many more days will they take to complete the project compared to Vic and Richard working together?

Level 3
If Bill and Henry paint a house, they take 24 days to finish painting. If Kenny and Bill paint the same house, they take 8 days to finish painting. If Henry and Mark paint the same house, they take 12 days to finish painting. How many days do Kenny and Mark take to paint the house if they work together?

Level 3
John spent ³₇ of his salary and gave $880 to his wife. Of the remaining amount, he saved ¹₅ of it and gave ³₁₀ of it to his parents. He then donated ²₃ of what he had left away and gave the remaining $56 to his daughter. What was John's salary?

Level 3
Vincent has some 20-cent coins and 50-cent coins which amount to more than $20 but less than $54. The number of 20-cent coins is ¹₄ of all the coins he has. When he exchanges some 50-cent coins for 20-cent coins, the ratio of the number of 50-cent coins to 20-cent coins he now has become 1 : 6.

1. What is the largest possible amount of money Vincent has?
2. What is the total value of 50-cent coins that has been exchanged for 20-cent coins? Express the answer to 2 decimal place.

Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.

1. Find the ratio of male speakers to male participants at the conference at first.
2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were ³₄ as many male participants as female participants remaining behind. How many speakers were there at the conference?

Level 3
Eva, Sarah and Penny had 1188 marbles. Sarah won some of the marbles from Eva and as a result, Sarah's marbles increased by 20%. Penny then won some marbles from Sarah and Penny's marbles increased by 40%. Finally, Penny lost some of her marbles to Eva and Eva's marbles increased by 20%. In the end, they realised that they each had an equal number of marbles. How many percent less did Eva have in the end than what she had at first? Correct your answer to 1 decimal place.

Level 3
In a theme park, there are 294 more girls than boys. ²₉ of the girls and ¹₃ of the boys wear glasses. If ¹₄ of the children wear glasses, how many children are there in the theme park?

Level 3
Three girls, Isabelle, Zoe and Diana had a total of 1680 marbles. Some exchanges were made. First, Isabelle gave Zoe as many marbles as Zoe had. After that, Zoe gave ³₄ of whatever she had then to Diana. Finally, Diana gave ²₇ of whatever she had to Isabelle. As a result, they each had the same number of marbles. How many marbles did Isabelle have at first?

Level 3
The total cost of 5 suits and 5 hoodies was $285. Tina bought 7 such suits, 5 such hoodies and a cardigan for $543. If the total cost of a cardigan and a suit was $150, find the difference in cost between the suit and the cardigan.