Ratio Problems with Answers for Grade 9
Grade 9 ratio maths problems with answers are presented. Solutions and detailed explanations are also included.
-
There are 600 pupils in a school. The ratio of boys to girls in this school is 3:5. How many girls and how many boys are in this school?
-
There are r red marbles, b blue marbles and w white marbles in a bag. Write the ratio of the number of blue marbles to the total number of marbles in terms of r, b and w.
-
The perimeter of a rectangle is equal to 280 meters. The ratio of its length to its width is 5:2. Find the area of the rectangle.
-
The angles of a triangle are in the ratio 1:3:8. Find the measures of the three angles of this triangle.
-
The measures of the two acute angles of a right triangle are in the ratio 2:7. . What are the measures of the two angles?
-
A jar is filled with pennies and nickels in the ratio of 5 to 3. There are 30 nickles in the jar, how many coins are there?
-
A rectangle field has an area of 300 square meters and a perimeter of 80 meters. What is the ratio of the length to the width of this field?
-
Express the ratio 3 2/3 : 7 1/3 in its simplest form.
-
The length of the side of square A is twice the length of the side of square B. What is the ratio of the area of square A to the area of square B?
-
The length of the side of square A is half the length of the side of square B. What is the ratio of the perimeter of square A to the perimeter of square B?
-
At the start of the week a bookshop had science and art books in the ratio 2:5. By the end of the week, 20% of each type of books were sold and 2240 books of both types were unsold. How many books of each type were there at the start of the week?
-
At the start of the month a shop had 20-inches and 40-inches television sets in the ratio 4:5. By the end of the month, 200 20-inches and 500 40-inches were sold and the ratio of 20-inches to 40-inches television sets became 1:1. How many television sets of each type were there at the start of the month?
-
The aspect ratio of a tv screen is the ratio of the measure of the horizontal length to the measure of the vertical length. Find the horizontal length and vertical height of a tv screen with an aspect ratio of 4:3 and a diagonal of 50 inches.
Solutions and detailed explanations are also included.
Answers to the Above Questions
- 375 girls , 225 boys:
- b / (r + b + w)
- 4000 square meters
- 15 degrees, 45 degrees and 120 degrees
- 20 degrees and 70 degrees
- 80 coins (pennies and nickels)
- 3:1
- 1:2
- 4:1
- 1:2
- 800 science books and 2000 art books
- 1200 20-inches and 1500 40-inches
- horizontal length = 40 inches and vertical length = 30 inches
|
More References and Links
Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
Home Page