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Mathematical: Ratios and Proportional Relationships Flashcards

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

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  1. A swimming pool is being filled at a rate of 200 gallons per hour. How many gallons will be in the pool after 4.5 hours?

    Answer: 900 gallons

    200 gallons/hour × 4.5 hours = 900 gallons.

  2. A worker earns $15 per hour. Which equation represents total earnings (e) based on hours worked (h)?

    Answer: e = 15h

    Total earnings equal the hourly rate multiplied by hours worked, so e = 15h.

  3. Maria runs 6 miles in 48 minutes. At this rate, how long will it take her to run 9 miles?

    Answer: 72 minutes

    The rate is 48 ÷ 6 = 8 minutes per mile; 9 miles × 8 min/mile = 72 minutes.

  4. A store sells orange juice in two sizes: 16 oz for $2.40 and 24 oz for $3.36. Which size is the better buy?

    Answer: 24 oz bottle

    16 oz costs $0.15/oz while 24 oz costs $0.14/oz, making the 24 oz a better buy.

  5. A scale drawing has a scale of 1 cm to 50 cm. If a room measures 6 cm on the drawing, what is the actual length?

    Answer: 300 cm

    6 cm × 50 = 300 cm is the actual length.

  6. If 15% of a number is 45, what is the number?

    Answer: 300

    Solving 0.15 × n = 45 gives n = 45 ÷ 0.15 = 300.

  7. A recipe for 12 cookies requires 3/4 cup of butter. How much butter is needed for 20 cookies?

    Answer: 1 and 1/4 cups

    (3/4 ÷ 12) × 20 = 1/16 × 20 = 20/16 = 1 and 1/4 cups.