Ratio and Proportion Problem Solving

What is a ratio?

• A comparison of two quantities using subtraction

• A comparison of two quantities using multiplication

• A comparison of two quantities using division

• A comparison of two quantities using addition

Which of the following is NOT a way to write the ratio of 3 to 4?

• 3/4

• 3:4

• 3 to 4

• 3-4

What is the simplified form of the ratio 16:24?

• 3:4

• 8:12

• 2:3

• 4:3

How do you simplify the ratio 150 cm to 6 meters?

• 1:4

• 25:1

• 1:6

• 1:3

What is the result of cross multiplying the proportion 9/p = 12/16?

• 9 + 16 = 12 + p

• 9 * p = 12 * 16

• 9 * 16 = 12 * p

• 9 * 12 = 16 * p

What is the value of x in the proportion 5/x = x/20?

• 5

• 20

• 10

• 15

In the proportion 1/3x = 2/(x+1), what is the value of x?

• 3

• 2

• 1

• 4

If the ratio of side AB to side BC is 4:5 and AB is 24, what is the length of BC?

• 20

• 30

• 40

• 50

A string 27 inches long is cut into two pieces in the ratio 4:5. How long is each piece?

• 13 and 14 inches

• 12 and 15 inches

• 11 and 16 inches

• 10 and 17 inches

Two complementary angles are in the ratio 3:7. What are their measures?

• 20 and 70 degrees

• 30 and 60 degrees

• 27 and 63 degrees

• 25 and 65 degrees