Level 3
During one test, points were awarded for questions answered as shown.
The ratio of the questions correctly to questions answered wrongly to questions that were missed out was 8 : 4 : 2. If Tiffany was awarded 300 points, how many questions are there in all?
4 m
Level 3
Benny and Nigel both received an allowance from their father. Benny initially received 30% of the money. He then gave Nigel $5, and was left with 13 as much money as Nigel. What was the total amount of money given to the two boys?
4 m
Level 3
If Adam's income increases 10% from $300 and then decreases by another 10%, what is Adam's latest income?
3 m
Level 3
In a bakery, the prices of pastries are listed as follow:
The ratio of the number of scones sold to the number of puffs sold was 4 : 3. The ratio of the number of muffins sold to the number of puffs sold was 8 : 7. The bakery collected $80 more on the sales of muffins than the sales of scones.
  1. How many scones were sold?
  2. How much did the bakery collect from the sales of the pastries?
4 m
Level 3
If Adam's income decreases 10% from $330 and then increases by another 10%, what is Adam's latest income?
3 m
Level 3
Alan, Benjamin and Charles shared a bag of toy blocks. Benjamin took 35 as many toy blocks as Charles. Alan took twice as many toy blocks as the total Benjamin and Charles took. After Alan had given 20 to Benjamin and 4 to Charles, Benjamin gave 5 to Charles. In the end, all three of them had the same number of toy blocks. Find the difference between the number of toy blocks that Alan and Benjamin had at first.
4 m
Level 3
Molly, Nellie and Olivia had a sum of money. The amount of money Molly had was 45 of the amount of money Nellie had. The ratio of the amount of money Nellie had to the total amount of money Olivia and Nellie had was 3: 8. After Olivia gave $15 to Nellie, she had as much money as Nellie. How much more money did Olivia have than Molly in the end?
4 m
Level 3
There were 182 red, blue and green marbles in a box. 26 green marbles were removed from the box and the ratio of the number of red marbles to the number of blue marbles to the number of green marbles became 4 : 3 : 5. Then some yellow marbles were added and the ratio of the number of green marbles to the number of yellow marbles was 13 : 9.
  1. What was the ratio of the number of red marbles to the number of blue marbles to the number of green marbles at first?
  2. How many marbles were in the box in the end?
4 m
Level 3
Adam has 200 red stickers, blue stickers and green stickers.
40% of the stickers are blue.
30% of the remaining stickers are red.
The rest are green stickers.
  1. How many green stickers are there?
  2. How many less red stickers than blue stickers?
3 m
Level
Fred had 12 as many erasers as Will. Will had 23 as many erasers as Rachel. After Fred and Rachel gave 12 erasers to Will, Will had four times as many erasers as Fred. Rachel then had the same number of erasers as Will.
  1. What was the ratio of the number of erasers Fred had to the number of erasers Rachel had in the beginning? Answer in simplest form.
  2. How many erasers did Will have in the end?
4 m