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
Tina and Sarah have some cupcakes each. If Tina gives Sarah 49 cupcakes, Tina will have 34 as many cupcakes as Sarah. If Tina gives Sarah 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Tina have at first?
4 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
Andrew, Bryan and Charlie had the same number of marbles. Charlie gave 0.5 of his marbles to Bryan. Then Bryan gave 0.25 of his marbles to Andrew. Finally, after Bryan gave 30 marbles to Charlie, he had the same number of marbles as Charlie. How many marbles did Charlie have at first?
5 m
Level 3
Brandon bought 54 more erasers than Liam and Liam bought 15 erasers more than Raeann. The total number of erasers Brandon and Liam bought was 4 times the number of erasers Raeann bought.
  1. How many erasers does Brandon need to give Liam so that they have the same number of erasers?
  2. How many erasers did all three of them have altogether?
4 m
Level 3
There were 350 adults enrolled in the Adult Cooking School in 2009. 27 of the adults were women. Additional adults joined the cooking school in 2010. For every 2 women who joined the cooking school, 1 man joined the cooking school. If there was an equal number of men and women in 2010, how many men joined the school in that year?
4 m
Level 3
Terry had a total of 430 red and blue balloons. After giving away 59 of the red balloons and 66 blue balloons, there was an equal number of red and blue balloons left. How many red balloons did he have at first?
4 m
Level 3
Nicola used 47 of her red stickers and 35 of her blue stickers to decorate her diary. In the end, she had an equal number of red stickers and blue stickers left. Given that Nicola had a total of 377 red and blue stickers at first, how many blue stickers did she use to decorate the diary?
4 m
Level 3
Winnie and Neave went shopping with a total of $44. After Winnie spent 13 of her money and Neave spent 34 of his money, they each had an equal amount of money left. How much money did they spend altogether?
4 m
Level 3
Nick, Warren and Paul bought some biscuits. After Nick ate 25 of his biscuits, Warren ate 34 of his biscuits and Paul ate 12 biscuits, each of them had the same number of biscuits left. Nick had 63 less biscuits than Warren at first.
  1. How many biscuits did Nick have at first?
  2. How many biscuits did the 3 of them buy altogether?
4 m
Level 3
Fanny and Gillian collected some stamps. If Fanny gave Gillian 52 stamps, both would have an equal number of stamps. If Gillian gave Fanny 40 stamps, Fanny would have 5 times as many stamps as Gillian. Find the number of stamps each of them had.
  1. Fanny?
  2. Gillian?
4 m
Level 3
Ruth, Queenie and Cathy were playing with beads. Ruth started with 72 beads and then she gained 13 more beads from Queenie. In the second game, Ruth lost 38 of her original number of beads to Cathy. Queenie lost as many beads as Ruth to Cathy. In the final game, Ruth gained 12 of her original number of beads from Queenie. All of them ended up with the same number of beads.
  1. How many beads did Ruth have in the end?
  2. How many beads did Queenie have at first?
5 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
Richard and Tina had a total of 440 charity tickets. Richard sold 13 of his tickets and Tina sold 25 of hers. They sold an equal number of tickets each. How many tickets did Richard have at first?
4 m
Level 3
Mindy, Jake and Donald shared a sum of money. The amount received by Jake was 23 the amount of money received by Donald. After Mindy had given $48 to Jake and $27 to Donald, Jake gave $3 to Donald. In the end, 3 of them had the same amount of money. Find the difference between the amount of money that Mindy and Jake had at first.
5 m
Level 3
Ali has 16 marbles. Gopal has 6 marbles. How many marbles does Ali need to give to Gopal so that they have the same number of marbles?
4 m
Level 3
Keith has 25 as many stickers as Janet. They have a total of 280 stickers. How many stickers must Janet give to Keith so that they will have the same number of stickers?
4 m
Level 3
Risa has 37 as many cards as Abi. They have a total of 160 cards. How many cards must Abi give to Risa so that they will have the same number of cards?
4 m
Level 3
Reggie and Zane had a total of 144 cards. Zane had half as many cards as Reggie. How many cards must Reggie give to Zane so they have an equal number of cards?
4 m