Level 3
Zoe, Fanny, Eric and Olivia shared some pens. Zoe and Fanny took 15 of the total number of pens while Eric and Olivia took the rest. Fanny had four times as many pens as Zoe and Olivia had 176 pens. Given that Eric had four times as many pens as Fanny, how many pens were there altogether?
4 m
Level 3
20% of Nick's savings was $120 more than 30% of Will's savings. After Nick spent 23 of his savings and Will spent 40% of his savings, Nick had $13 more than Will. How much was Nick's saving at first?
5 m
Level 3
Container A contains 480 blue buttons and 590 purple buttons. Container B contains 590 blue buttons and 410 purple buttons. How many blue buttons and purple buttons must be removed from Container B to put into Container A so that 50% of the buttons in Container A are blue and 60% of the buttons in Container B are blue?
5 m
Level 3
There were 229 lemons and soursops in a stall at first. After 15 of the lemons and 12 of the soursops were sold, there were a total of 182 lemons and soursops now. How many lemons are there now?
4 m
Level 3
At a carnival, the children were put into two groups. 45 of Group F were boys and 23 of Group G were girls. Group G had twice as many children as Group F. There were 18 fewer boys in Group F than Group G.
  1. What fraction of the total number of children at the carnival were boys? Give your answer in the simplest form.
  2. What was the total number of children at the carnival?
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
Asher has a total of 94 of blue and yellow lollipops. 16 of the blue lollipops and half of the yellow lollipops are new. How many of his yellow lollipops are new if he has a total of 27 new lollipops?
4 m
Level 3
Glen, Ken, Jenson and Justin shared 105 stickers. Jenson received 15 of the stickers. Glen received 16 of the total amount of stickers received by Ken and Justin. Justin received four times as much stickers as Ken.
  1. How many stickers did Glen receive?
  2. How many more stickers did Jenson receive than Ken?
4 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
Gillian bought 35 as many stamps as stickers at first. After she bought another 10 stamps and 29 stickers, there were 47 as many stamps as stickers. How many stamps and stickers did Gillian buy at first?
4 m