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Ohio - Achievement - 2005 - Math - Grade 6

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  • A recipe for cookies calls for 2 cups of flour to make 6 cookies. Which proportion can Mary use to find the number of cups of flour she needs to make 10 cookies?


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  • Which graph represents the values of x that will make the inequality 2x < 12 true?


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  • In triangle ABC, the length of AB is equal to the length of BC. Triangle ABC is which type of triangle?

    right equilateral triangle
    acute equilateral triangle
    right isosceles triangle
    acute isosceles triangle


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  • The model shown represents an operation performed on 0.4 and 0.5. Which operation does this model represent?

    0.4 ÷ 0.5
    0.4 x 0.5
    0.4 – 0.5
    0.4 + 0.5


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  • Mary knows that the circumference of a circle is about three times its diameter. She made her mother a vase in the shape of a cylinder. About how much material does she need to cover the outside of the vase, not including the bottom?

    80 square inches
    120 square inches
    250 square inches
    500 square inches


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  • Melissa created the number pattern shown. 124, 60, 28, 12, 4, . . . Which rule describes how to find the next term in Melissa’s pattern?

    Take half of the previous number and subtract 2.
    Double the previous number and add 2.
    Take half of the previous number and add 2.
    Double the previous number and subtract 2.


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  • Jack drew the figure shown on a grid. Which grid shows a dilation of this figure with a scale factor of 2?


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  • One morning, Mrs. Rivera weighed each of her students’ backpacks as her students came into her classroom. The mode of the weights of 20 backpacks was 11 pounds. Which statement explains what the mode represents?

    The difference between the lightest and the heaviest backpack was 11 pounds.
    Half of the backpacks weighed less than 11 pounds and half weighed more.
    More than half of the backpacks weighed 11 pounds.
    The most common weight of the backpacks was 11 pounds.


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  • Which expression shows the prime factorization of 112?


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  • A rectangular prism is shown. Which face in the figure is parallel to face OJQN?

    face PKLM
    face OJKP
    face OPMN
    face JKLQ


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  • Tim’s bicycle tire has a diameter of two feet. Tim knows that the circumference of a circle is about three times its diameter. About how far would Tim’s bicycle travel when the tire has made five revolutions?

    10 feet
    30 feet
    50 feet
    60 feet


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  • The model represents two fractions. Which equation shows the sum of these two fractions?


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  • Andrew’s parents follow a regular schedule for taking care of their new car. They change the oil every 3,000 miles, rotate the tires every 10,000 miles and replace the windshield wipers every 15,000 miles. After how many miles will they first have to change the oil, rotate the tires and replace the windshield wipers all at once?

    10,000 miles
    15,000 miles
    30,000 miles
    60,000 miles


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  • Tad used blocks to construct the figure shown. Which drawing represents the view of the figure from the side where Tad is standing?


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  • Starting at home, Carly traveled east for 9 miles. Then she traveled west for 4 miles. Which number line represents Carly’s trip?


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  • Beth is spinning the spinner shown. She predicts that the chance of the arrow landing on any number on the spinner is 1/4. Which activity would best allow Beth to test her prediction?

    Measure the length of the arrow on the spinner
    Spin the spinner 100 times and see how close to 25 times the arrow lands on each number.
    Spin the spinner four times and check to see whether the arrow lands on each number.
    Ask four different people to predict on which number they think the arrow will land.


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  • Which expression is equivalent to 3(x + 7)?

    x + 10
    x + 21
    3x + 7
    3x + 21


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