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?
Level 3
Jack, George, Henry and Asher shared $1495. Asher received 310 of the total amount of money received by Jack, George and Henry. Jack received 37 of the total amount for George and Henry. George received 23 as much money as Henry. If George gave all his money to Asher, how much did Asher have more than Jack in the end?
Level 3
There were some pink erasers and blue erasers. The erasers were packed into 2 bags. At first, Bag A contained 480 erasers and 40% of them were blue erasers. Bag B contained 300 erasers and 80% of them were blue erasers. How many pink erasers and blue erasers in total must be moved from Bag A to Bag B such that 20% of the erasers in Bag A are pink and 50% of the erasers in Bag B are blue?
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?
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?
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
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave 15 of the amount she had to Yvonne. On Monday, Yvonne gave 14 of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?
Level 3
Tom and Jerry had $160 altogether. Jerry gave 47 of his money to Tom. After that, Tom gave 35 of his money to Jerry.
In the end, Tom had 14 of the total sum of money. How much did Tom have at first?
Level 3
A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, rugby or fencing. 57 of them voted for either canoeing or rugby. 25 of them for either rugby or fencing. 48 of them voted for rugby. How many students took part in the survey?
Level 3
Jane was attempting to read a book within a week. On Monday, she had read 37 of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.
