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SAT Math Practice Test: Geometry, Trigonometry, and Data Analysis

SAT Practice Test
SAT
English

SAT Math Practice Test: Geometry, Trigonometry, and Data Analysis

Question 1

Two parallel lines are intersected by a transversal line. The measure of one of the angles formed is

and the measure of its corresponding angle is

. What is the value of

?
A. 20
B. 25
C. 30
D. 40

Question 2

A survey asked 200 students to choose their favorite type of movie. The results are shown in the table below. What percentage of students chose Comedy as their favorite movie type?
Movie Type
Number of Students
Comedy
70
Action
50
Drama
40
Sci-Fi
40
A. 20%
B. 25%
C. 35%
D. 70%

Question 3

A circle has a radius of 12 inches. A sector of this circle has a central angle of

. What is the area of the sector, in square inches?
A.

B.

C.

D.


Question 4

The list of numbers is $8, 15, 9, 2, x$. If the mean of the five numbers is 10, what is the median of the five numbers?
A. 8
B. 9
C. 10
D. 15

Question 5

In triangle ABC, angle B is a right angle. Point D is on side AC such that segment BD is perpendicular to side AC. If the length of AD is 4 and the length of DC is 9, what is the length of BD?
A. 5
B. 6
C. 6.5
D. 7

Question 6

The table below shows the distribution of 100 park visitors by age group and preferred activity.

Hiking
Picnic
Sports
Total
Under 18
10
15
25
50
18 and over
20
20
10
50
Total
30
35
35
100
If one park visitor is selected at random, what is the probability that the visitor is under 18, given that their preferred activity is hiking?
A. 1/10
B. 1/5
C. 1/3
D. 1/2

Question 7

A solid metal object is formed by a cylinder with a hemisphere on top. The cylinder and the hemisphere have the same radius,

. The height of the cylinder is

. If the total volume of the object is

cubic centimeters, what is the radius r in centimeters? (The volume of a sphere with radius r is

and the volume of a cylinder with radius r and height h is

.)
A. 3
B. 6
C. 9
D.


Question 8

A political poll surveyed a random sample of 800 likely voters in a city and found that 55% of them plan to vote for Candidate A. The margin of error for the survey was

. Which of the following is the most plausible conclusion from this survey?
A. Exactly 55% of all likely voters in the city will vote for Candidate A.
B. It is certain that the percentage of all likely voters in the city who plan to vote for Candidate A is between 51.5% and 58.5%.
C. It is plausible that the percentage of all likely voters in the city who plan to vote for Candidate A is between 51.5% and 58.5%.
D. If another random sample of 800 likely voters is taken, exactly 55% will plan to vote for Candidate A.

Question 9

If

and

, which of the following expressions is equivalent to

?
A.

B.

C.

D.


Question 10

Two data sets, A and B, each contain 100 integers. The mean of data set A is 50, and the mean of data set B is also 50. The standard deviation of data set A is 5, and the standard deviation of data set B is 15. Which of the following statements must be true?
A. The range of data set B is 3 times the range of data set A.
B. The median of data set A is equal to the median of data set B.
C. The data points in data set B are, on average, more spread out from the mean than the data points in data set A.
D. Every data point in data set B is greater than every data point in data set A.