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.
Find the ratio of the number of stamps Ryan had in January to the number of stamps he had in February.
Find the ratio of the total number of stamps both had in January to the total number of stamps both had in February.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The area of the triangle to the area of the rectangle in the figure is in the ratio 3 : 2. After the shaded rectangle of length 8 cm is removed from the figure, the ratio of the remaining area of the triangle to the remaining area of the rectangle is 5 : 3. Given that the area of the triangle is 32 cm2 more than the area of the rectangle, find the width of the shaded rectangle that is being removed.
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
Level 3
Shiyun, Kimberly and Yoko had jelly beans in the ratio of 8 : 4 : 3. After Shiyun gave 6 jelly beans to Kimberly and Yoko, the three of them had the same number of jelly beans. Find the total number of jelly beans the children had.
Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
Level 3
The figure shows the Triangle PQR that is divided into 4 parts a, b, c and d. The line PZ divides the triangle into 2 equal parts. The ratio of Area a to Area b is 1 : 3 and the ratio of Area b to Area c is 5 : 2. Area d is 210 cm2. What is the area of Triangle PQR?
Level 3 The ratio of the number of ducks in Farm A to the number of ducks in Farm B was 5 : 9. There were 48 fewer ducks in Farm A than in Farm B. When 5 ducks escaped from Farm B, the farmer in Farm B bought another 9 ducks. What was the new ratio of the number of ducks in Farm A to the number of ducks in Farm B in the end? Give your answer in the simplest form.
Level 3
Adam has stickers in 4 colours. 57 of the stickers are blue.
The rest of the stickers are red, yellow and green in the ratio of 1 : 5 : 3.
If there are 40 more yellow stickers than green stickers,
how many blue stickers are there?
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.
How many papayas were there at the stall?
If he sold the remaining peaches in bags of 6 at $3.50 per bag, how much would he receive for them?
