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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 store sells cereal in two sizes: 400 g for $3.20 and 600 g for $4.50. Which box has the better unit price per 100 g?

    Answer: 600 g box at $0.75 per 100 g

    400 g box: $3.20/4 = $0.80 per 100 g; 600 g box: $4.50/6 = $0.75 per 100 g; 600 g is cheaper.

  2. A mechanic charges $45 per hour plus a flat fee of $30. If a customer's total bill is $210, how many hours did the mechanic work?

    Answer: 4 hours

    45h + 30 = 210; 45h = 180; h = 4 hours.

  3. A train and a car leave the same city heading in the same direction. The train travels at 80 mph and the car at 50 mph. After 3 hours, how many miles apart are they?

    Answer: 90 miles

    Relative speed = 80 − 50 = 30 mph; distance apart = 30 × 3 = 90 miles.

  4. A recipe uses milk and water in the ratio 3:1 to make a total of 2 liters. How many mL of water are needed? (1 L = 1,000 mL)

    Answer: 500 mL

    Water fraction = 1/(3+1) = 1/4; water = 1/4 × 2,000 mL = 500 mL.

  5. A car accelerates from 0 to 60 mph in 8 seconds. What is the car's average acceleration in mph per second?

    Answer: 7.5 mph/s

    Acceleration = (60 − 0) ÷ 8 = 7.5 mph per second.

  6. If 7.5 kg of apples cost $12.00, what is the cost of 2.5 kg?

    Answer: $4.00

    Price per kg = $12 ÷ 7.5 = $1.60/kg; cost of 2.5 kg = 2.5 × $1.60 = $4.00.

  7. A wire of length 84 cm is cut into three pieces in the ratio 2:3:7. What is the length of the longest piece?

    Answer: 49 cm

    Total parts = 2+3+7 = 12; longest piece = (7/12) × 84 = 49 cm.