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
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?

Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?

Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 1¹₂ hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find

1. the average speed of the bus.
2. the time taken for them to meet. travelling the rest of the journey

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?

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
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?

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
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.