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Ratios, Rates, Proportional Relationships, and Units Flashcards

7 cards from real Bluebook SAT Test practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Ratios, Rates, Proportional Relationships, and Units flashcards as text

  1. A 120-meter rope is cut into two pieces in the ratio 3:5. What is the length of the shorter piece?

    Answer: 45 m

    Shorter piece = (3/8) × 120 = 45 meters.

  2. A runner finishes a 10-km race in 50 minutes. What is the runner's average speed in kilometers per hour?

    Answer: 12 km/h

    Speed = 10 km ÷ (50/60) hr = 10 × (60/50) = 12 km/h.

  3. A saline solution is prepared by mixing 15 g of salt with 285 g of water. What percent of the solution by weight is salt?

    Answer: 5%

    Total solution = 15 + 285 = 300 g; percent = (15/300) × 100 = 5%.

  4. If 8 identical pens cost $6.00, what is the cost, in dollars, of 20 such pens?

    Answer: $15.00

    Cost per pen = $6 ÷ 8 = $0.75; 20 × $0.75 = $15.00.

  5. A tank is filled at a rate of 6 liters per minute and drained at a rate of 4 liters per minute simultaneously. At this net rate, how many minutes will it take to accumulate 50 liters?

    Answer: 25

    Net fill rate = 6 − 4 = 2 liters/min; time = 50 ÷ 2 = 25 minutes.

  6. Two towns are 3.5 inches apart on a map where 0.5 inches represents 12 miles. What is the actual distance between the towns?

    Answer: 84 miles

    1 inch = 24 miles; 3.5 × 24 = 84 miles.

  7. A car averages 28 miles per gallon on the highway and uses 7.5 gallons for a road trip. How far, in miles, did the car travel?

    Answer: 210 miles

    Distance = 28 × 7.5 = 210 miles.