Level 3
Daniel had to solve some Science questions during a 3-week school holidays. At the end of the first week, the ratio of the number of questions solved to the number of questions unsolved was 3 : 7. At the end of the second week, Daniel solved another 36 questions and the number of unsolved questions became 14 of the total number of questions. How many questions did Daniel need to solve on the third week to complete his assignment?
4 m
Level 3
Janet wanted to finish reading a 231-page book by the end of the week. On Monday she read 37 of the book and by Friday the ratio of the number of pages read to the total number of pages was 9 : 11. Find the number of pages Janet would need to read during the weekend in order for her to complete the entire book.
4 m
Level 3
At a fruit stall, 280 mangoes were sold in the morning and 35 of the remaining mangoes were sold in the afternoon. As a result, the number of mangoes left became 16 of the total number of mangoes at first. Given that the mangoes were sold at $2.50 in packs of six mangoes, how much did the fruit stall receive from the sale of the mangoes in the afternoon?
4 m
Level 3
The ratio of the number of papayas to the number of peaches that a fruit seller had was 5 : 11. After he sold half of the peaches, there were a total of 252 papayas and peaches left at the fruit stall.
  1. How many papayas were there at the stall?
  2. If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?
4 m
Level 3
The number of red grapes is the same as the number of green grapes in a bag. After removing 14 of the grapes, there were 36 red grapes and 54 green grapes left in the bag. Then another 20 red grapes and 20 green grapes were removed and there were 512 of the grapes left in the end. How many red grapes were removed altogether?
4 m
Level 3
Adam and Bryan have some money in the ratio of 5 : 4
After Adam gives 12 of his money to Bryan,
Bryan has $400 more than Adam in the end.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
  3. How much does Adam give to Bryan?
4 m
Level 3
Adam has some money.
Adam spends $300 on some stickers and
80% of the remainder on some marbles.
In the end, he has 18 of the total amount left.
  1. How much does Adam have at first?
  2. How much more does Adam spend on marbles than on stickers?
3 m
Level 3
Adam and Bryan have a total of $220.
Adam spends 13 of his money and
Bryan spends $30 of his money.
The ratio of Adam's money to Bryan's money becomes 5 : 2.
  1. How much does Bryan have at first?
  2. How much does Adam have in the end?
3 m
Level 3
Benedict cycled to his bakery with 16 trays of eggs. There were 24 eggs in each tray. He fell on his way and broke 13 of the eggs. He sold 58 of the good eggs and put the remaining eggs equally into 12 small baskets. How many eggs did he put into each basket?
3 m
Level 3
There were an equal number of boys in Class A and Class B. 34 of the pupils in Class A are boys and 17 of the pupils in Class B are girls. Given that there are a total of 12 girls in the two classes, how many pupils are there in Class B?
3 m