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.
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?
Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
Find the smallest possible second lowest mark among these 6 children.
Find the largest possible second lowest mark among these 6 children.
Level 3
Auntie Zoe baked 45 more strawberry cookies than cheese cookies. After she gave 13 of the strawberry cookies and 0.4 of the cheese cookies to Hazel, she was left with 119 fewer cheese cookies than strawberry cookies. How many cookies did she bake?
Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.
Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
