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
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
4 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
Level 3
Elyse bought some pens. She gave 16 of the pens to her cousin and sold 34 of the remaining pens. After that, she bought another 171 pens and had the same number of pens that she bought at first. How many pens did Elyse buy at first?
4 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
There are an equal number of 20-cent coins and 50-cent coins in a box. The total value of the 50-cent coins is $2.10 more than the total value of the 20-cent coins. Find the number of 50-cent coins in the box.
4 m
Level 3
There is an equal number of 50-cent coins and 10-cent coins in a box. The total value of the 10-cent coins is $6.80 less than the total value of the 50-cent coins.
  1. Find the total number of coins in the box.
  2. Find the total value of the coins in the box.
4 m
Level 3
Trees were planted along each side of a square garden so that an equal number of trees are found along each side of the garden. If 40 trees were planted, how many trees were there along each side of the garden?
4 m
Level 3
Trees were planted along each side of a triangle shaped garden so that an equal number of trees were found along each side of the garden. If there were 78 trees used, how many trees were there along each side of the garden?
4 m