# Free CBEST Section 1: Math Exam Braindumps (page: 7)

Page 7 of 26

Use the diagram below to answer the question.

In the diagram above, if angle 1 is 30 degrees, and angle 2 is a right angle, what is the measure of angle 5?

1. 30 degrees
2. 60 degrees
3. 120 degrees
4. 140 degrees
5. 150 degrees

##### Explanation:

If angle 1 is 30 degrees, angle 3 must be 60 degrees by right triangle geometry. Because the two lines are parallel, angles 3 and 4 must be congruent. Therefore, to find angle 5, angle 4 must be subtracted from 180 degrees. This is 120 degrees.

Use the diagram below to answer the question.

In the diagram, a half-circle is laid adjacent to a triangle.
What is the total area of the shape, if the radius of the half-circle is 3 and the height of the triangle is 4?

1. Option A
2. Option B
3. Option C
4. Option D

##### Explanation:

Because the radius of the hemisphere is 3, and it is the same as half the base of the triangle, the base must be 6. Therefore, the area of the triangle is 1/3 bh = 12.

Use the diagram below to answer the question.

A train moving at a constant speed leaves Chicago for Los Angeles at time t = 0. If Los Angeles is 2,000 miles from Chicago, which of the following equations describes the distance from Los Angeles at any time t?

1. Option A
2. Option B
3. Option C
4. Option D

##### Explanation:

The speed of the train is 60 miles per hour, obtained from the table. Therefore, the distance from Chicago would be equal to 60t. However, as the train moves on, the distance decreases from Los Angeles, so there must be a function of 60t in the equation. At time t = 0, the distance is 2,000 miles, so the function is 2,000 60t.

Use the table and the information below to answer the question.
Felipe is planning to get an Internet service in order to have access to the World Wide Web. Two service providers, A and B, offer different rates as shown below.

If Felipe plans on using 25 hours of Internet service per month, which of the following statements is true?

1. Provider A will be cheaper.
2. Provider B will be cheaper.
3. The answer cannot be determined from the information given.
4. The answer cannot be determined but could be if no hours were free.
5. The providers will cost the same per month.

##### Explanation:

The cost for 25 hours for both providers must be found. For A, the base charge is \$20, plus 7.5 hours at \$1 per hour. This is \$27.50. For B, the base charge is \$20, plus 5 hours at \$1.50. This is also \$27.50. Therefore, they will cost the same.

Page 7 of 26

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