Unit Rates & Proportions Unit Test

Sure! Here’s a practice unit test on unit rates and proportions. It will include a variety of question types, including multiple choice, short answer, and word problems.

Unit Rates & Proportions Unit Test

Name: ________________________ Date: _________________

Part 1: Multiple Choice (1 point each)

1. Which of the following shows a unit rate? a. 60 miles in 2 hours
   b. 50 apples for $5
   c. 3 cups of flour for a recipe
   d. 45 miles per hour

2. What is the unit rate if you can buy 8 bananas for $4? a. $0.50 per banana
   b. $0.25 per banana
   c. $2 per banana
   d. $1 per banana

3. If a car travels 240 miles in 4 hours, what is the speed in miles per hour? a. 50 mph
   b. 60 mph
   c. 70 mph
   d. 80 mph

4. What proportion represents the relationship between 3 days and 72 hours? a. \( \frac{3}{72} = \frac{1}{24} \)
   b. \( \frac{72}{3} = \frac{1}{24} \)
   c. \( \frac{3}{72} = \frac{24}{1} \)
   d. \( \frac{72}{3} = \frac{24}{1} \)

5. If it costs $12 for 4 pounds of apples, what is the unit price per pound? a. $3
   b. $2
   c. $1
   d. $4

Part 2: Short Answer (2 points each)

6. Find the unit rate for the following situation: A car uses 15 gallons of gas to travel 300 miles. How many miles can the car travel per gallon of gas?

7. If the ratio of cats to dogs in a pet store is 5 to 3, and there are 15 cats, how many dogs are there?

8. A recipe requires 2 cups of sugar for 3 cakes. How much sugar is needed for 12 cakes?

Part 3: Word Problems (3 points each)

9. A train travels 180 miles in 3 hours. If it continues at the same speed, how far will it travel in 5 hours?

10. You buy 10 notebooks for $30. If you want to buy 50 notebooks, how much will it cost?

Total Points: ___________ / 25

Answer Key (for grading)

Part 1:

1. d
2. a
3. b
4. a
5. b

Part 2: 6. 20 miles per gallon (300 miles / 15 gallons) 7. 9 dogs (ratio of 5:3 means 3/5 of cats, so 15 x (3/5) = 9) 8. 8 cups (2 cups for 3 cakes, so 2 × (12/3) = 8)

Part 3: 9. 300 miles (180 miles / 3 hours = 60 mph; 60mph × 5 hours = 300 miles) 10. $150 (30 / 10 = $3 per notebook; $3 × 50 = $150)

Feel free to use or modify the test questions as needed! If you require additional questions or specific topics to be covered, let me know!