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NO.1 In the diagram above, lines K and L are parallel, and lines Mand N are parallel. If b = 8, then a =?
Answer: 11
Explanation/Reference:
The labeled angle formed by lines M and K and the supplement of the labeled angle formed by lines L
and
N are alternating angles. Therefore, they are congruent. The angle labeled (10a + 5) and its
supplement,
which is equal to (8b + 1), total 180 degrees: (10a + 5) + (8b + 1) = 180. If b = 8, then:
(10a + 5) + (8(8) + 1) = 18010a + 70 = 18010a = 110a = 11

NO.2 Simon plays a video game four times. His game scores are 18 points, 27 points, 12 points, and
15 points.
How many points must Simon score in his fifth game in order for the mean, median, and mode of the
ive
games to equal each other?
A. 21 points
B. 27 points
C. 12 points
D. 15 points
E. 18 points
Answer: E

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Explanation/Reference:
For the median and mode to equal each other, the fifth score must be the same as one of the first
four,
and, it must fall in the middle position when the five scores are ordered. Therefore, Simon must have
scored either 15 or 18 points in his fifth game. If he scored 15 points, then his mean score would have
been greater than 15: 17.4. Simon scored 18 points in his fifth game, making the mean, median, and
mode for the five games equal to 18.

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