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# SAT-MATHEMATICS PDF Demo

Posted: Jan 06, 2017

## Question: 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.

## Question: 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

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 Question: t equal-- they are supplementary. Therefore, the sum of angles c and b is also supplementary--and Question: t equal--tog.

## Question: 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 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 Question: numbers are members of both sets, so to find the probability of rolling

## Question: 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

## Question: 5

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: 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.

## Question: 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. canQuestion: t 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.

Question: 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

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.

## Question: 9

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

## Question: 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.

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