Level 3
Amanda and Joe have some books in the ratio 3 : 7. Amanda has 72 less books than Joe. How many books must Joe give to Amanda so that they will have the same number of books?
4 m
Level 3
Adam has some blue stickers and red stickers.
If Adam gives away 50 blue stickers,
the blue stickers will be 10% as many as the red stickers.
If Adam gives away 250 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Level 3
Emma and Peter had a total of $47. After Emma spent 37 of her money and Peter spent $2, the ratio of Emma's money to Kenneth's money became 1 : 2. How much money had Peter at first?
4 m
Level 3
The number of lava cakes on display at a cafe was 34 of the number of cupcakes on display. After 20 lava cakes were bought and the staff added another 30 cupcakes, the number of cupcakes was twice the number of lava cakes. The last group of customers bought 5 cupcakes each, finishing all the cupcakes on display. How many customers were there in the last group?
4 m
Level 3
Adam has some blue stickers and red stickers.
If Adam receives another 50 blue stickers,
the blue stickers will be 50% as many as the red stickers.
If Adam gives away 50 red stickers,
the blue stickers will be 40% as many as the red stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Level 3
50% of Amin's money was $350 less than Dave's money. When Amin spent 45% of her money and Dave spent 60% of his money, they had the same amount of money left. Find the amount of money Dave had at first.
4 m
Level 3
In January, Anna and Ryan had stamps in the ratio 5 : 2. In February, each of them gave away the same number of stamps. Anna then had thrice as many stamps as Ryan.
  1. Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
  2. Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
4 m
Level 3
The table shows the prices of pens sold in a school bookshop. Jessica wants to buy 26 pens. What is the least amount she will have to pay?
3 m
Level 3
If Adam gives Bryan 30 stickers,
the number of stickers that Adam will have is 25% of Bryan's.
If Bryan gives Adam 3 stickers,
the number of stickers that Adam will have is 40% of Bryan's.
  1. How many stickers does Adam have?
  2. How many stickers does Bryan have?
4 m