Exploring Inequalities on a Number Line: Grade 6 Quiz

1. Sarah has a number line that shows the temperatures in her city. If the temperature is less than 30 degrees, she will wear a jacket. Which numbers on the number line represent the temperatures where she will wear a jacket?

• Temperatures equal to or greater than 30 degrees

• Temperatures between 20 and 25 degrees

• Temperatures less than 30 degrees

• Temperatures above 0 degrees

2. A school has a rule that students must be at least 4 feet tall to ride the roller coaster. If the height of the students is represented on a number line, which heights would allow them to ride?

• Heights below 4 feet

• Heights of 5 feet and below

• Heights of 3 feet and above

• Heights of 4 feet and above

3. Tom is measuring the length of his garden. He wants it to be more than 10 feet but less than 20 feet long. What range of lengths on the number line represents his garden's possible lengths?

• The range of lengths is (10, 30).

• The range of lengths is (10, 20).

• The range of lengths is (5, 15).

• The range of lengths is (0, 10).

4. A store is having a sale on shoes that cost less than $50. If the prices of shoes are shown on a number line, which prices would be included in the sale?

• All prices less than $50

• Only shoes priced at $25

• All prices greater than $50

• All prices equal to $50

5. Emily is comparing the heights of two plants. Plant A is taller than 15 inches, and Plant B is shorter than 10 inches. On a number line, how would you visually compare the heights of these two plants?

• Plant A is shorter than Plant B.

• Plant A is taller than Plant B.

• Plant B is taller than 15 inches.

• Plant A is exactly 10 inches tall.

6. A marathon runner wants to finish the race in less than 4 hours. If the time taken is represented on a number line, which times would show that the runner finished successfully?

• Any time less than 240 minutes (4 hours) on the number line.

• Any time exactly at 4 hours

• Any time less than 300 minutes

• Any time equal to or greater than 240 minutes

7. A recipe requires between 2 and 5 cups of flour. If you were to represent the amount of flour needed on a number line, what would that look like?

• A number line with a solid line from 2 to 5, including both endpoints.

• A number line with open circles at 2 and 5, shaded between them.

• A number line with closed circles at 2 and 5, shaded between them.

• A number line with open circles at 2 and 5, not shaded at all.

8. A pet store has fish that can live in water temperatures between 20 and 25 degrees Celsius. On a number line, which temperatures would be suitable for the fish?

• 15 to 20 degrees Celsius

• 25 to 30 degrees Celsius

• 10 to 15 degrees Celsius

• 20 to 25 degrees Celsius

9. A student needs to score more than 75% on a test to pass. If the scores are shown on a number line, which scores would indicate a passing grade?

• Scores equal to 75 (75)

• Scores less than 75 (70, 71, 72)

• Scores greater than 75 (76, 77, 78, ..., 100)

• Scores between 50 and 75 (51, 52, 73)

10. A bike rental shop charges less than $15 per hour. If the rental prices are represented on a number line, which prices would be available for customers?

• $15 or more

• Any price less than $15, such as $0 to $14.99.

• $10 to $20

• $5 to $25