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?
4 m
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.
5 m
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?
5 m
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.
5 m
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?
4 m
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?
5 m
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.
4 m