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OH - OGT - Math - 2004

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  • The table shown contains the results of a biology experiment. Assuming the pattern shown in the table continues, what is the value of b?

    108
    130
    162
    243


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  • The box-and-whisker plot below describes the weights of a sample of 100 chickens. What statement can be made about the data, using the graph alone?

    The range of the weights is 3 lb.
    The median weight is less than 2 lb.
    Twenty-five percent of the chickens weigh less than 1 lb.
    Fifty percent of the chickens weigh more than 2 lb.


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  • Which equation is equivalent to 3(2x – 5) = 4(x + 3)?

    2x = –27
    2x = 27
    10x = –27
    10x = –3


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  • Darius and his father are constructing a set of bunk beds as shown in the diagram. What is the measure of angle X?

    540°
    390°
    150°
    120°


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  • A set of data contains 10 negative numbers and 4 positive numbers. Which one of these statements must be true?

    The mean is a negative number.
    The median is a negative number.
    The mode is a negative number.
    The range is a negative number.


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  • Travis went on a long trip. The graph shown represents the relationship between distance and time. During what interval was Travis’ average rate of travel the fastest?

    0 to 6
    6 to 8
    8 to 11
    11 to 16


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  • Which expression represents 270,000 written in scientific notation?

    270 x 103
    27 × 104
    2.7 × 105
    0.27 × 106


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  • The table shows values for x and y. Which of these equations represents the relationship between x and y?


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  • Which number is irrational?


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  • Julie does not want to spend more than $300 on ice skating. Her skates will cost $42, her lessons will cost a total of $56, and the practice time will cost $7.50 per hour. Which inequality should Julie use to determine the maximum number of hours, h, she can practice without spending more than $300?


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  • Daniel cut the corner off a cube as shown in the diagram. Points A, B and C are the midpoints of the edges of the cube. What type of threedimensional figure has been cut off?

    cone
    cube
    triangular prism
    triangular pyramid


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  • Pippi calculates her total earnings for the month with the equation E = 15m + 5b, where E is the total number of dollars she earns, m is the number of lawns she mows, and b is the number of hours she baby-sits.If Pippi mows 6 lawns, how many hours must she baby-sit to earn a total of $200?

    20
    22
    40
    45


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  • George wants to conduct a survey to determine the types of music that the students want at a school dance. Which sample population should George survey to represent the entire student body?

    survey the teachers
    survey the captain from each sports team
    randomly survey two people from each homeroom class
    randomly survey 50 people from the freshman class


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  • Gene has a cylinder with radius 4 inches and height 2 inches. He cut the cylinder in half along the length of the diameter, as shown in the diagram. What is the area of the shaded cross-section?



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  • A system of equations is shown. What is the solution to the system of equations?

    x = 1, y = 1
    x = 3, y = 5
    x = 7, y = –1
    x = 19, y = 1


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  • Carlos and Tiesha empty a bag of 100 colored candies and count the number of each color, as shown in the chart. They return all the candies to the bag and shake the bag. Carlos removes 5 candies, 2 of which are blue. Tiesha then pulls out one candy. What is the probability that Tiesha pulls out a blue candy?


    6.67%
    13.68%
    15.00%
    15.79%


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  • Which of these represents the graph of the equation −3x + 4y = −12?


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  • Alanis is moving and needs to pack two mirrors. The larger mirror fits in a box that is 18 inches wide by 20 inches long. Her smaller mirror is similar in proportion to the larger mirror. Alanis determines that the width of the smaller box needs to be a minimum of 9 inches. What should be the minimum length of the box to hold the smaller mirror?

    2 inches
    6 inches
    9 inches
    10 inches


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  • The table shows the number of people who speak each of the six most common languages of the world. Which type of graph is appropriate to display the data in the table?

    bar graph
    box-and-whisker plot
    line graph
    scatterplot


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  • Points P, Q and R are shown on the graph. These points are three vertices of a parallelogram. What are the coordinates of the fourth vertex of parallelogram PQRS?

    (4, 6)
    (5, 2)
    (8, –1)
    (9, 1)


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  • Aaron wants the mean of his 5 geometry test scores to be at least 90%. His scores on the first four tests are 85%, 83%, 96% and 91%. What is the minimum score Aaron can earn on the fifth test to meet his goal?

    0.89
    0.9
    0.95
    1


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  • Which figure is not a parallelogram?


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  • The graph shows the population of Ohio from 1900 to 1990. Based on the data, in which decade did the population of Ohio increase the most?

    1910 to 1920
    1940 to 1950
    1950 to 1960
    1960 to 1970


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  • The table shows the number of fish caught each day last week. If one day of that week is chosen at random, what is the probability that a minimum of one fish was caught that day?

    3/4
    1/2
    4/7
    2/1


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  • A student shines a light through a cutout of a triangle held parallel to a wall several feet straight in front of him, producing a similar image on the wall. What must the two triangles have in common?

    equal areas
    equal heights
    corresponding sides that are congruent
    corresponding angles that are congruent


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  • A circular pool has a diameter of 12 feet. About how much water is needed to fill the pool to a depth of 4 feet?

    75 cubic feet
    150 cubic feet
    450 cubic feet
    1,800 cubic feet


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  • Maria is making a quilt. She has a large piece of fabric that is 0.02 millimeters thick. The fabric is cut in half and one piece is placed on top of the other to make a pile. The pile is cut in half, and then one half is placed on top of the other to make a higher pile. Continuing this process, what would the thickness of the pile be after the 4th cut and piling?

    0.0016 millimeters
    0.08 millimeters
    0.32 millimeters
    16 millimeters


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  • A right triangle has the dimensions as shown in the diagram below. What is the approximate area of the triangle?

    8.0 square inches
    11.3 square inches
    13.9 square inches
    16.0 square inches


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  • Which expression is not equivalent to 7?


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  • A DVD player is on sale for 15% off the regular price of $135. After the price reduction, a 5% sales tax is added. How much will a customer pay?

    $141.75
    $120.49
    $114.75
    $109.01


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  • Rene is selecting a menu for a party. He plans to select a meal that includes one main dish, one vegetable and one dessert from the following list of choices. How many different meals can Rene select?

    12
    32
    35
    60


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  • Identical boxes are to be stacked along the back wall of a storage room from floor to ceiling. The diagram shows the dimensions of the back wall and the dimensions of one of the boxes, which has a square base. Which of these is the best estimate of the maximum number of boxes that can be stacked against the entire back wall?

    200
    70
    50
    15


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