SBAC - Smarter Balanced Assessment Consortium Math Grade 7 Ratios and Proportions 1 — Questions and Answers
Question 1: A recipe calls for 2 cups of flour to make 24 cookies. How many cups of flour are needed to make 60 cookies?
- 3 cups
- 4 cups
- 5 cups (Correct answer)
- 6 cups
Correct answer: 5 cups
Set up the proportion: 2/24 = x/60. Cross-multiply: 24x = 120, so x = 5 cups.
Question 2: On a map, 2 centimeters represents 50 kilometers. If two cities are 7 centimeters apart on the map, what is the actual distance between them?
- 125 kilometers
- 150 kilometers
- 175 kilometers (Correct answer)
- 200 kilometers
Correct answer: 175 kilometers
The scale ratio is 50 km per 2 cm = 25 km per cm. Multiply 7 cm × 25 km/cm = 175 km.
Question 3: A faucet drips at a rate of 15 gallons per hour. How many gallons will drip in 2.5 hours?
- 30 gallons
- 35 gallons
- 37.5 gallons (Correct answer)
- 40 gallons
Correct answer: 37.5 gallons
Multiply the rate by the time: 15 gallons/hour × 2.5 hours = 37.5 gallons.
Question 4: A shirt originally costs $40. It is on sale for 25% off. What is the sale price?
- $10
- $25
- $28
- $30 (Correct answer)
Correct answer: $30
25% of $40 = 0.25 × 40 = $10 discount. Sale price = $40 − $10 = $30.
Question 5: If 5 workers can complete a job in 8 days, how many days would 10 workers take to complete the same job, assuming they all work at the same rate?
- 2 days
- 4 days (Correct answer)
- 6 days
- 16 days
Correct answer: 4 days
Total work = 5 × 8 = 40 worker-days. With 10 workers: 40 ÷ 10 = 4 days.
Question 6: A student answered 18 out of 24 questions correctly on a test. What percentage of questions did the student answer correctly?
- 65%
- 70%
- 75% (Correct answer)
- 80%
Correct answer: 75%
Divide correct answers by total: 18 ÷ 24 = 0.75. Multiply by 100 to get 75%.
SBAC - Smarter Balanced Assessment Consortium Math Grade 7 Ratios and Proportions 1
A recipe calls for 2 cups of flour to make 24 cookies.
How many cups of flour are needed to make 60 cookies?