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SAT-Mathematics actual exam dumps, SAT SAT-Mathematics practice test
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Exam : SAT-Mathematics
Title : Section Two : Mathematics
Vendor : SAT
Version : DEMO
1
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NO.1 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.
NO.2
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
2
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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.
NO.3 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
3
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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:
NO.4
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.
NO.5 Find the measure of angle Z.
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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.
NO.6 Eggs Found in a Hunt Over Time
The scatter plot above shows how many eggs were found in a hunt over time. Which of the labeled
points
represents a number of eggs found that is greater than the number of minutes that has elapsed?
A. A
B. B
C. C
D. D
E. E
Answer: E
Explanation/Reference:
The point that represents a number of eggs found that is greater than the number of minutes that
has
elapsed is the point that has a y value that is greater than its x value. Only point E lies farther from
the
horizontal axis than it lies from the vertical axis. At point E, more eggs have been found than the
number
of minutes that has elapsed.
5
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NO.7
In the diagram above, if angle OBE measures 110 degrees, what is the measure of arc AC?
A. 20 degrees
B. 40 degrees
C. 55 degrees
D. 80 degrees
E. cannot be determined
Answer: B
Explanation/Reference:
Angles OBE and DBO form a line. Since there are 180 degrees in a line, the measure of angleDBOis180
1 10= 70 degrees. OB and DO are radii, which makes triangle DBO isosceles, and angles ODB and DBO
congruent. Since DBO is 70 degrees, ODB is also 70 degrees, and DOB is 180 (70 + 70) =180 140 = 40
degrees. Angles DOB and AOC are vertical angles, so the measure of angle AOC is also 40 degrees.
Angle AOC is a central angle, so its intercepted arc, AC, also measures 40 degrees.
NO.8 Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9,5).What is the area of
rectangle ABCD?
Answer: 84
Explanation/Reference:
If point A is located at (-3,12) and point C is located at (9,5), that means that either point B or point D
has
the coordinates (-3,5) and the other has the coordinates (9,12). The difference between the different
x
values is 9 - (-3) = 12 and the difference between the different y values is 12 - 5 = 7. The length of the
rectangle is 12 units and the width of the rectangle is seven units. The area of a rectangle is equal to
its
length multiplied by its width, so the area of ABCD= (12)(7) = 84 square units.
NO.9
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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.10 In the diagram above, what is the area of the rectangle?
A. 6ab square units
B. 8ab square units
C. 9b2 square units
D. 12ab square units
E. 16b square units
Answer: B
Explanation/Reference:
The y-axis divides the rectangle in half. Half of the width of the rectangle is a units to the left of the y-
axis
and the other half is a units to the right of the y-axis. Therefore, the width of the rectangle is 2a units.
The
length of the rectangle stretches from 3b units above the x-axis to b units below the x-axis.
Therefore, the
length of the rectangle is 4b units. The area of a rectangle is equal to lw, where l is the length of the
rectangle and w is the width of the rectangle. The area of this rectangle is equal to (2a) (4b) = 8ab
square
units.
NO.11
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In the diagram above, side OB side OC. Which of the following is the measure of minor arc BC?
A. 27.5 degrees
B. 45 degrees
C. 55 degrees
D. 70 degrees
E. 110 degrees
Answer: D
Explanation/Reference:
LineOB lineOC, which means the angles opposite lineOBandOC(anglesCandB) are congruent. Since
angleB= 55 degrees, then angleC= 55 degrees. There are 180 degrees in a triangle, so the measure
of angle O is equal to 180 (55 + 55) = 180 110 = 70 degrees. Angle O is a central angle. The measure of
its intercepted arc, minor arcBC, is equal to the measure of angle O, 70 degrees.
NO.12 What is the distance from the point where the line given by the equation 3y = 4x + 24 crosses
the x-axis to
the point where the line crosses the y-axis?
Answer: 10
Explanation/Reference:
Write the equation in slope-intercept form
The line crosses the y-axis at its y-intercept, (0,8). The line crosses the x-axis when
Use the distance formula to find the distance from
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