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OH - OGT - 2003 - Math - Grade 12

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  • When framing in a wall, carpenters make sure that all vertical studs are perpendicular to the floor and ceiling. They sometimes add a diagonal brace for added support during construction (as shown in the drawing). When the vertical studs are perpendicular to the floor, which pair of angles will always be congruent?


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  • The pilot of a small aircraft was given permission to land, and she lowered the wheels at an altitude of 1,500 feet. Two and a half minutes after lowering the wheels, the aircraft landed. What was the plane’s rate of descent, in feet per second, from the time the wheels were lowered to the time the plane landed?

    10 ft/s
    75 ft/s
    375 ft/s
    600 ft/s


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  • Last month members of a Fostoria youth group spent time doing community service. The graph shows the numbers of students who contributed certain hours of service. How many members spent 10 or more hours in community service last month?

    3
    4
    9
    12


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  • Mr. Anderson has machinery on his farm that allows him to bale hay two different ways: “round” and “square.” Approximately how many “square” bales contain the same amount of hay as one “round” bale?

    14
    17
    21
    84


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  • Alfredo has forgotten the three-digit code to the lock on his suitcase. Alfredo remembered that the first digit is 3 and the last digit is either 2 or 4. The middle digit could be any number from 0 through 9 inclusive. What is the greatest number of three-digit codes Alfredo might have to try in order to be sure to open his suitcase?

    10
    12
    20
    60


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  • Consider the following scores: 12, 56, 62, 66, 74, 83, 88, 90, 93, 96 If the outlier, 12, is removed from the set above, what is the approximate increase in the mean of the remaining scores?

    3
    7
    12
    84


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  • The Americans with Disabilities Act states that a wheelchair ramp must have a slope no greater than 1/12, as shown in the diagram. Which of the following inequalities must be true of a ramp conforming to the Americans with Disabilities Act?


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  • The diameter of a pollen grain from a flower can range from 0.0000004 inches to 0.00002 inches. Which of the following would be an equivalent description of the range of the diameters of pollen grains?


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  • Density is a physical property of matter which measures the mass of an object per unit of volume. As most stars grow older, the mass remains the same while the radius becomes smaller. What happens to the star’s density as the star ages?

    The density increases.
    The density decreases.
    The density stays the same.
    The density increases and decreases periodically over time.


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  • The quadrilateral STUW has vertices at the coordinates (1, 1), (2, 5), (5, 5), and (8, 1), as shown. What are the coordinates of the vertices of quadrilateral STUW when it is reflected over the x-axis?

    (1, 1), (2, 5), (5, 5), (8, 1)
    (–1, 1), (–2, 5), (–5, 5), (–8, 1)
    (–1, –1), (–2, –5), (–5, –5), (–8, –1)
    (1, –1), (2, –5), (5, –5), (8, –1)


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  • The Prom Decoration Committee decided to add the string of lights to its welcome sign, as shown in the drawing. To the nearest foot, what is the minimum length of the string of lights the committee will need?

    15 feet
    18 feet
    21 feet
    33 feet


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  • This box-and-whisker plot represents the average annual precipitation in Ohio over a ten-year period. Which of these is the median rainfall for the ten-year period?

    35.5 inches
    39.1 inches
    40.0 inches
    42.6 inches


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  • Josie claimed that all polyhedra have more vertices than faces. Which of these polyhedra shows that Josie’s statement is not always true?


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  • In 1776, Betsy Ross created a flag for George Washington that showed 13 stars arranged in a circle. What is the approximate measure of the central angle shown?

    6.90
    13.80
    16.30
    27.70


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