AI Certification Challenge: Ratios and Proportions

1. What is the difference between a ratio and a proportion?

• A ratio is used in geometry, while a proportion is used in algebra

• The difference between a ratio and a proportion is that a ratio is a comparison of two quantities, while a proportion is an equation that states two ratios are equal.

• A ratio compares two quantities that are not related, while a proportion compares two related quantities

• A ratio is always in fraction form, while a proportion can be in any form

2. Solve the following proportion: 3/5 = x/15

• x = 5

• x = 9

• x = 18

• x = 12

3. If a recipe calls for 2 cups of flour and 3 cups of sugar, what is the ratio of flour to sugar?

• 3:2

• 2:3

• 2:2

• 1:2

4. If 4 pencils cost $2, how much would 10 pencils cost?

• $3

• $8

• $10

• $5

5. A map has a scale of 1 inch = 5 miles. If two cities are 3 inches apart on the map, how far are they in real life?

• 8 miles

• 20 miles

• 4 miles

• 15 miles

6. If a recipe calls for 2 cups of flour and 1 cup of milk, what is the ratio of flour to milk?

• 1:2

• 3:1

• 2:1

• 1:1

7. Solve the following proportion: 4/7 = 12/x

• 48

• 8

• 21

• 15

8. If 5 bags of chips cost $10, how much would 8 bags cost?

• $25

• $16

• $8

• $12

9. A car travels 240 miles on 8 gallons of gas. How many miles can it travel on 5 gallons?

• 220 miles

• 100 miles

• 180 miles

• 150 miles

10. If a recipe calls for 3 cups of sugar and 2 cups of flour, what is the ratio of sugar to flour?

• 2:3

• 1:2

• 4:3

• 3:2