Rates and Ratios - Math 9 Review

Ratios can compare (select all that apply)

• Part to part

• Part to whole

• Like quanitities

• Unlike quantities

Answer explanation

Ratios can compare part to part, part to whole (like a fraction), like quantities (like different kinds of fruit), or unlike quantities (like kilometres and hours!)

Put the following ratio in simplest form --> 16:24

• 8:12

• 12:8

• 4:6

• 2:3

Answer explanation

Simplest form for ratios is like lowest terms in fractions. You need to divide each term by the greatest common factor!

Put the following ratio in simplest form --> 9:3:6

• 9:3:6

• 3:1:2

• 12:6

• 4.5:1.5:3

Answer explanation

Simplest form for ratios is like lowest terms in fractions. You need to divide each term by the greatest common factor!

There are 24 total shapes. What is the ratio of green shapes to total shapes?

• 8:24

• 2:6

• 1:3

• 4:12

Answer explanation

Remember: A ratio MUST be in lowest/simplest terms

There are 24 total shapes. What is the ratio of triangles to squares?

• 1:1

• 8:8

• 7:8

• 6:12

Answer explanation

Remember: A ratio MUST be in lowest/simplest terms

What is the ratio of four sided shapes to green shapes?

• 8:4

• 4:1

• 8:2

• 2:1

Answer explanation

Items can be included in both parts of a ratio. So some shapes are both green and four sided and get included in both counts.

Also: lowest terms!

Which of the following is an equivalent ratio for 4:5?

• 16:21

• 16:20

• 8:12

• 20:15

Answer explanation

An equivalent ratio is a ratio that results when both terms of the original ratio are multiplied by the same factor

Fill in the blank --> 20 : 30 = __ : 15

• 4

• 5

• 10

• 15

Answer explanation

These are equivalent ratios (equal to each other). Both terms have been multiplied or divided by the same factor. What was the second term multiplied or divided by? This applies to the first term as well

Fill in the blank --> 10 : 14 = __ : 28

• 25

• 20

• 24

• 28

Answer explanation

These are equivalent ratios (equal to each other). Both terms have been multiplied or divided by the same factor. What was the second term multiplied or divided by? This applies to the first term as well

A packet of wildflower seed contain a total of 90 seeds. Some are poppy seeds and some are daisy seeds. The ratio of poppy seeds to daisy seeds is 1:2. How many daisy seeds are in each packet?

• 60

• 90

• 180

• 30