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OH - OGT - 2002 - Math

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  • A graphic designer is working on a new soup label. The rectangular label will completely cover the lateral surface of the can using as little paper as possible. What are the width and length (to the nearest centimeter) of the label?

    11 cm x 7 cm
    11 cm x 18 cm
    11 cm x 22 cm
    11 cm x 38 cm


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  • Ryan and and Kathy each drew a triangle with an angle of 20 degrees. Under which condition would the triangles be similar?

    if both are right triangles
    if both are obtuse triangles
    if the triangles have the same area
    if the triangles have the same perimeter


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  • A portion of the graph of the function y = 2x2 – 7 is shown on the grid. For which other value of x does y equal 1?

    -1
    -2
    -3
    -4


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  • A computer password consists of four characters. The characters can be one of the 26 letters of the alphabet. Each character may be used more than once. How many different passwords are possible?

    104
    14,950
    358,800
    456,976


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  • The diagram shows a carpenter’s square that is used to measure riser height and tread length. A carpenter has been asked to replace a staircase with one that is less steep. The carpenter could

    increase the riser height leaving the tread length the same.
    increase the tread length leaving the riser height the same.
    increase the tread length and the riser height proportionally.
    decrease the tread length and the riser height proportionally.


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