MCAS 2000, 10th Grade Math, Questions 25-28
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Question #25
The following table shows the total number of line segments that can be drawn connecting two points in a set of coplanar, noncollinear points.
| Number of Points |
3 |
4 |
5 |
6 |
. . . |
10 |
11 |
| Number of Line Segments |
3 |
6 |
10 |
15 |
. . . |
45 |
? |
How many line segments can be drawn connecting two points in a set of 11 noncollinear points?
A. 55
B. 50
C. 48
D. 110
Question #26
Four hundred deer were captured in Milltown Forest, tagged, and released bak into the forest. Several weeks later, a forest ranger captured a number of deer at a random location in Milltown Forest, recorded the number of tagged and nontagged deer, and released the deer back into the forest. She did this over two trials as shown below.
Record of Deer Captured in Milltown Forest
|
Total of Deer |
Tagged |
Nontagged |
| Trial 1 |
65 |
10 |
55 |
| Trial 2 |
75 |
15 |
60 |
Approximately how many deer could you expect to find in the entire forest?
A. 2,600
B. 1,600
C. 2,300
D. 1,000
Question #27
Use the matrix equation on the right to answer question 27.
The matrix equation represents which system of equations?
A. x - 3y = 12
3x + y = 18
B. x + 3y = 12
-3x + y = 18
C. 1 - 3x = 12
3 + y = 18
D. -3x = 12
3y = 18
Question #28
Use the graph that shows the results of a survey to answer question 28.
Based on the graph, which is the best estimate of the percent of the students choosing volleyball?
A. 10%
B. 30%
C. 20%
D. 80%
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