Testinar Grade 7 math

Circle Graphs

Students will build Grade 7 mastery of circle graphs using models, equations, and test-style reasoning.

CH08-06 Statistics
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. A circle graph shows students' favorite subjects. If \(35\%\) prefer Math and the school has \(260\) students, how many students prefer Math?

    1. \(35\)
    2. \(65\)
    3. \(91\)
    4. \(169\)

  2. A circle graph displays energy usage in a household. Heating accounts for \(45\%\) of the energy. If the total monthly energy is \(500\) kWh, how much energy is used for heating?

    1. \(45\) kWh
    2. \(125\) kWh
    3. \(225\) kWh
    4. \(455\) kWh

  3. In a circle graph of sports preferences, \(20\%\) of the \(180\) surveyed students prefer soccer. How many students prefer soccer?

    1. \(20\)
    2. \(36\)
    3. \(72\)
    4. \(144\)

  4. A percent can be converted to an angle in a circle graph. What angle corresponds to \(25\%\) of a circle?

    1. 45°
    2. 60°
    3. 90°
    4. 120°

  5. A circle graph shows how a family spends its monthly budget. Rent is \(30\%\), food is \(25\%\), utilities is \(15\%\), and savings is \(30\%\). Which categories tie for the largest sector?

    1. Food and Utilities
    2. Utilities and Savings
    3. Rent and Savings
    4. Food and Rent

  6. The circle graph above shows favorite types of cuisine at a restaurant. Blue represents Asian, red represents Italian, and green represents Mexican. If \(400\) customers were surveyed, how many prefer Italian?

    Circle Graphs visual for G7-C08-T06-Q006
    1. \(120\)
    2. \(140\)
    3. \(160\)
    4. \(280\)

  7. A survey asked \(150\) people about their favorite ice cream flavor. The circle graph shows vanilla is \(40\%\), chocolate is \(35\%\), and strawberry is \(25\%\). How many people prefer chocolate?

    1. \(35\)
    2. \(40\)
    3. \(52.5\)
    4. \(60\)

  8. The circle graph shows the results of a survey on transportation methods. Blue is cars (\(40\%\)), salmon is buses (\(40\%\)), and green is bicycles (\(20\%\)). If \(500\) people were surveyed, how many use bicycles?

    Circle Graphs visual for G7-C08-T06-Q009
    1. \(50\)
    2. \(100\)
    3. \(200\)
    4. \(400\)
Teacher and parent reference

Answer key and explanations

  1. C. \(91\)

    \(35\%\) of \(260=0.35\times260=91\) students.

  2. C. \(225\) kWh

    \(45\%\) of \(500 = 0.45 \times 500 = 225\) kWh.

  3. B. \(36\)

    \(20\%\) of \(180 = 0.20 \times 180 = 36\) students.

  4. C. 90°

    \(25\%\) of \(360° = 0.25 \times 360° = 90°\).

  5. C. Rent and Savings

    Rent and Savings are both \(30\%\), the largest percentage. Food is \(25\%\) and utilities is \(15\%\).

  6. A. \(120\)

    Red (Italian) is \(30\%\) of \(400 = 0.30 \times 400 = 120\) customers.

  7. C. \(52.5\)

    \(35\%\) of \(150 = 0.35 \times 150 = 52.5\) people.

  8. B. \(100\)

    \(20\%\) of \(500 = 0.20 \times 500 = 100\) people.

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