Level 3
Olivia, Natalie and Kate have 264 marbles. Natalie has 79 as many marbles as Olivia. Kate's marbles is 12 of the total number of Olivia's and Natalie's marbles. How many marbles must Natalie give to Kate so that both Olivia and Kate will have the same number of marbles?
4 m
Level 3
Mr Zane had to collect some fruits from two stalls and deliver some fruits to another stall. He collected from Stall W and the ratio of avocados to papayas was 2 : 3. When he reached Stall X, he unloaded 56 of the papayas and some avocados from his vehicle. The ratio of avocados to papayas became 4 : 5. At Stall Y, 124 avocados and 26 papayas were collected and the number of avocados to papayas became the same.
  1. How many fruits were there on his vehicle after visiting Stall Y?
  2. How many avocados were delivered to Stall X?
5 m
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
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