Ratio Problems with Answers for Grade 9

Grade 9 ratio maths problems with answers are presented. Solutions and detailed explanations are also included.

  1. 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?

  2. 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.

  3. 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.

  4. The angles of a triangle are in the ratio 1:3:8. Find the measures of the three angles of this triangle.

  5. 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?

  6. 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?

  7. 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?

  8. Express the ratio 3 2/3 : 7 1/3 in its simplest form.

  9. 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?

  10. 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?

  11. 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?

  12. 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?

  13. 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.

Answers to the Above Questions

  1. 375 girls , 225 boys:
  2. b / (r + b + w)
  3. 4000 square meters
  4. 15 degrees, 45 degrees and 120 degrees
  5. 20 degrees and 70 degrees
  6. 80 coins (pennies and nickels)
  7. 3:1
  8. 1:2
  9. 4:1
  10. 1:2
  11. 800 science books and 2000 art books
  12. 1200 20-inches and 1500 40-inches
  13. horizontal length = 40 inches and vertical length = 30 inches

More Middle School Math (Grades 6, 7, 8, 9) - Free Questions and Problems With Answers
More
High School Math (Grades 10, 11 and 12) - Free Questions and Problems With Answers
More
Primary Math (Grades 4 and 5) with Free Questions and Problems With Answers
Author - e-mail
Home Page