SBAC - Smarter Balanced Assessment Consortium Math Grade 7 Ratios and Proportions 1

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?

Accepted Answer

5 cups

Answer

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?

Accepted Answer

175 kilometers

Answer

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?

Accepted Answer

37.5 gallons

Answer

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?

Accepted Answer

$30

Answer

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?

Accepted Answer

4 days

Answer

Total work = 5 × 8 = 40 worker-days. With 10 workers: 40 ÷ 10 = 4 days.

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