Ratio Basics
Equivalent Ratios
Word Problems
Unit Rates and Per
Ratio Reasoning
100

Write the ratio of 8 cats to 12 dogs in three forms

8:12, 8 to 12, 8/12

100

Which is equivalent to 2:3? (a) 4:6 (b) 6:8 (c) 8:12

a) 4:6

100

A bag has red and blue marbles in a ratio of 2:3. If there are 30 blue marbles, how many red marbles?

20

100

4 pencils cost $2. What is the cost per pencil?

$0.50

100

True or False: If the ratio of triangles to squares is 2:4, then there are twice as many squares as triangles.

True

200

What does the word “ratio” mean in math?

A comparison of two quantities using division.

200

Fill in the blank: 5:8 = __:16

10

200

A recipe uses 4 cups of flour for every 3 cups of sugar. How much sugar for 12 cups of flour?

9 cups

200

3 sandwiches cost $15. How much do 5 sandwiches cost?

$25

200

Which statement is correct? (a) 3:6 = 1:2 (b) 3:6 = 2:4

a) 3:6 = 1:2

300

Write the ratio of pencils to erasers if there are 15 pencils and 10 erasers.

15:10, 15 to 10, 15/10

300

If the ratio of boys to girls is 3:4, write two equivalent ratios.

6:8 and 9:12

300

A class has 12 boys and 16 girls. What is the ratio of girls to total students?

16:28

300

What does “per” mean in math? Give an example.

“For each”; example: miles per hour.

300

There are 5 stars and 10 circles. Which ratio shows circles to stars?

10:5

400

If there are 24 apples and 18 oranges, simplify the ratio of oranges to apples and explain why it’s equivalent.

18:24 simplifies to 3:4 because both numbers are divided by 6.

400

Complete the table and explain the pattern:
2:3 → __:9 → __:15 → __:30

6:9, 10:15, 20:30

400

A ribbon is cut to make bows. 7 feet makes 5 bows. How many bows from 56 feet?

40 bows

400

6 tickets cost $42. What is the cost per ticket and the cost for 15 tickets?

$7 per ticket; $105 for 15 tickets.

400

If the ratio of smiley faces to triangles is 6:3, how many triangles if there are 18 smiley faces?

9 triangles

500

A box has 48 pencils and 36 erasers. Write the ratio of pencils to erasers in simplest form and explain what it means in words.

48:36 simplifies to 4:3, meaning for every 4 pencils, there are 3 erasers.

500

If the ratio of boys to girls is 7:9, write three equivalent ratios and explain how you found them.

14:18, 21:27, 28:36 (multiply by 2, 3, 4)

500

A class has 18 boys and 12 girls. If 6 more girls join, what is the new ratio of boys to girls?

18:18 or 1:1

500

A store sells 3 notebooks for $4.50. At this rate, how much will 20 notebooks cost?

$30

500

A picture shows 2 squares for every triangle. If there are 12 squares, how many triangles?

6 triangles