MCAS 1999, 10th Grade Math, Questions 13-16

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Question #13 (Open-Response Question)

When playing the game "one-point no-point," each player rolls one red number cube and one white number cube. Each cube is numbered 1-6.

To win one point all of the following must be true:

the number on the white cube is greater than 1.
the number on the red cube is greater than or equal to 2.
the number on the red cube is less than or equal to 5, and
the sum of the numbers on the two cubes is less than or equal to 7.

a. Make a list, graph, or table showing all possible outcomes (sample space) of rolling the red number cube and the white number cube.

b. What is the probability of winning one point on a roll of the two cubes?

c. How could you change the last rule to make the probability of winning one point greater than 1/2?

Question #14 (Short-Answer Question)

A survey showed that the distribution of blood types among people with a positive Rh factor is the following:

Type O . . . . 46%
Type A . . . . 39%
Type B . . . . 11%
Type AB . . . . 4%

If there are 750 students with a positive Rh factor in Martin High School, how many of these students would you expect to have Type O blood?

Question #15 (Short-Answer Question)

List the rectangles below in order, beginning with the one with the longest diagonal and ending with the one with the shortest diagonal.

Question #16 (Open-Response Question)

Use the diagram below to answer question 16.

a. On the grid provided in your Student Answer Booklet [editor's note: on any piece of graph paper], copy the diagram shown above. Then transform the shaded "L" in the first quadrant by using the following sequence of steps:

Step I. Reflect the "L" over the x-axis.
Step II. Rotate the result of Step I clockwise 180^o about the origin.
Step III. Translate the result of Step II three units up to its final position.

As you transform the shaded "L", draw and label the image for each of the three steps.

b. Describe a transformation with fewer than three steps that would achieve the same result as the three steps in part a.

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