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SAT-Mathematics PDF DEMO:
QUESTION NO: 1
In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD, all
of the following are true EXCEPT
A. Option A
B. Option B
C. Option C
D. Option D
E. Option E
Answer: E
Explanation/Reference:
Since AB and CD are parallel lines cut by a transversal, anglef is equal to the sum of angles c and b.
However, anglef and angle g are not equal-- they are supplementary. Therefore, the sum of angles c and
b is also supplementary--and not equal--tog.
QUESTION NO: 2
A number cube is labeled with the numbers one through six, with one number on each side of the cube.
What is the probability of rolling either a number that is even or a number that is a factor of 9?
A. Option A
B. Option B
C. Option C
D. Option D
E. Option E
Answer: D
Explanation/Reference:
There are three numbers on the cube that are even (2, 4, 6), so the probability of rolling an even number
is1/2. There are two numbers on the cube that are factors of 9 (1, 3), so the probability of rolling a factor of
9 is No numbers are members of both sets, so to find the probability of rolling
either a number that is even or a number that is a factor of 9, add the probability of each event:
QUESTION NO: 3
In the diagram above, line AB is parallel to line CD, angle EIJ measures 140 degrees and angle CKG measures 55 degrees. What is the measure of angle IKJ?
A. 40 degrees
B. 55 degrees
C. 85 degrees
D. 95 degrees
E. 135 degrees
Answer: C
Explanation/Reference:
Since AB and CD are parallel lines cut by transversals EF and GH respectively, angles CKG and IJK are alternating angles. Alternating angles are equal in measure, so angle IJK= 55 degrees. Angles EIJ and
JIK form a line. They are supplementary and their measures sum to degrees. Angle JIK degrees.
Angles
JIK, IJK, and IKJ comprise a triangle. There are 180
degrees in a triangle; therefore, the measure of angle IKJ= 180 (55 + 40) = 85 degrees.
QUESTION NO: 4
Find the measure of angle Z.
Answer: 90
Explanation/Reference:
Triangle DBC and triangle DEF are isosceles right triangles, which means the measures of DBDC And
DEDF both equal 45; 180 - (m DBDC + mDEDF) = mDZ; 180 - 90 = mDZ; mDZ = 90.
QUESTION NO: 5
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. 12 points
B. 15 points
C. 18 points
D. 21 points
E. 27 points
Answer: C
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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Updated: May 26, 2022