SAT Math · Topic 3.1

Ratios, Rates, Proportional Relationships, and Units Practice

Part of Problem-Solving and Data Analysis.

Practice questions

62

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Sample questions

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  1. Sample 1difficulty 2/5

    The ratio of cats to dogs at a shelter is 3:53:5. If there are 2424 cats, how many dogs are there?

    • A

      45

    • B

      36

    • C

      40

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    • D

      30

    Why

    frac35=frac24d\\frac{3}{5} = \\frac{24}{d}, so 3d=1203d = 120 and d=40d = 40.

  2. Sample 2difficulty 2/5

    A car travels 180180 miles in 33 hours. What is its average speed in miles per hour?

    • A

      50

    • B

      60

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    • C

      65

    • D

      55

    Why

    180/3=60180/3 = 60 mph.

  3. Sample 3difficulty 2/5

    A box of 1212 pens costs \\8.40$. What is the price per pen?

    • A

      $0.65

    • B

      $0.75

    • C

      $0.80

    • D

      $0.70

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    Why

    \\8.40 \div 12 = \0.700.70 per pen.

  4. Sample 4difficulty 2/5

    How many ounces in 3.53.5 pounds? (11 lb =16= 16 oz)

    • A

      64

    • B

      52

    • C

      48

    • D

      56

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    Why

    3.516=563.5 \cdot 16 = 56 oz.

  5. Sample 5difficulty 2/5

    Express 42:5642:56 in simplest form.

    • A

      3:4

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    • B

      3:5

    • C

      7:8

    • D

      6:7

    Why

    GCD=14=14. 42/14:56/14=3:442/14:56/14 = 3:4.