Testinar Grade 6 math

Tables of Equivalent Ratios

Students will build Grade 6 mastery of tables of equivalent ratios using models, equations, and test-style reasoning.

CH01-05 Ratios, Rates, and Percents
Name
Date
Score
____ / 8
Directions Solve each problem. Show your reasoning on the page or on separate paper. Check the answer key only after finishing.

  1. The table shows the ratio of pancakes to cups of milk needed. Which value completes the table?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q001
    1. \(1\)
    2. \(3\)
    3. \(4\)
    4. \(6\)

  2. A recipe uses a ratio of \(2\) cups of flour to \(3\) cups of sugar. The table shows how much flour is needed for different amounts of sugar. What is the missing value?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q002
    1. \(6\)
    2. \(8\)
    3. \(10\)
    4. \(12\)

  3. A runner completes \(5\) miles in \(50\) minutes. The table below shows equivalent distances and times. Which time is missing?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q003
    1. \(120\)
    2. \(140\)
    3. \(150\)
    4. \(160\)

  4. The table shows the cost of different numbers of apples at a farmer's market. How much do \(9\) apples cost?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q004
    1. \($3.50\)
    2. \($4.00\)
    3. \($4.50\)
    4. \($5.00\)

  5. A factory produces \(24\) widgets in \(4\) hours. The table shows equivalent production rates. What is the missing number of widgets?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q005
    1. \(36\)
    2. \(64\)
    3. \(60\)
    4. \(48\)

  6. A swimming pool needs chlorine. The ratio of chlorine to water is \(2\) to \(50\). Complete the table:

    Tables of Equivalent Ratios visual for G6-C01-T05-Q006
    1. \(120\)
    2. \(150\)
    3. \(180\)
    4. \(200\)

  7. A coffee shop blends espresso and milk in a ratio of \(3:7\). How much milk is needed with \(6\) shots of espresso?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q007
    1. \(10\)
    2. \(12\)
    3. \(14\)
    4. \(16\)

  8. A gardener plants flowers in a ratio of roses to tulips of \(4:5\). If the gardener plants \(16\) roses, how many tulips are planted?

    Tables of Equivalent Ratios visual for G6-C01-T05-Q009
    1. \(18\)
    2. \(24\)
    3. \(22\)
    4. \(20\)
Teacher and parent reference

Answer key and explanations

  1. B. \(3\)

    Every \(4\) pancakes require \(1\) cup of milk, so \(12\) pancakes require \(12\div4=3\) cups.

  2. B. \(8\)

    The ratio \(2:3\) is constant. When sugar is \(12\), multiply by \(4\): \(2\times4=8\) cups of flour.

  3. C. \(150\)

    The ratio is \(5:50\) or \(1:10\). For \(15\) miles: \(15\times10=150\) minutes.

  4. C. \($4.50\)

    Each apple costs \($0.50\). So \(9\) apples cost \(9\times0.50=$4.50\).

  5. D. \(48\)

    The ratio is \(24:4\) or \(6:1\). For \(8\) hours: \(6\times8=48\) widgets.

  6. B. \(150\)

    The ratio is \(2:50\) or \(1:25\). For \(6\) oz of chlorine: \(6\times25=150\) gallons.

  7. C. \(14\)

    The ratio is \(3:7\). When espresso is \(6\) (multiply by \(2\)), milk is \(7\times2=14\) oz.

  8. D. \(20\)

    The ratio is \(4:5\). When roses are \(16\) (multiply by \(4\)), tulips are \(5\times4=20\).

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