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  5. SAT Section 2: Mathematics

Test Prep SAT Section 2: Mathematics Exam
Section Two : Mathematics (Page 11 )

Updated On: 1-Feb-2026
Page 6 of 33
PDF with 161 Questions

The line is

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

Answer(s): B

Explanation:

Parallel lines have the same slope. When an equation is written in the form y = mx + b the value of m(the coefficient of x) is the slope. The line y = -2x + 8has a slope of-2. The line1/2y = -x +3is equal toy = -2x +6.This line has the same slope as the line y = -2x + 8; therefore, these lines are parallel.



If the statement "All students take the bus to school" is true, then which of the following must be true?

  1. If Courtney does not take the bus to school, then she is not a student.
  2. If Courtney takes the bus to school, then she is a student.
  3. If Courtney is not a student, then she does not take the bus.
  4. all of the above
  5. none of the above

Answer(s): A

Explanation:

Since all students take the bus to school, anyone who does not take the bus cannot be a student. If Courtney does not take the bus to school, then she cannot be a student. However, it is not necessarily true that everyone who takes the bus to school is a student, nor is it necessarily true that everyone who is not a student does not take the bus. The statement "All students take the bus to school" does not, for instance, preclude the statement "Some teachers take the bus to school" from being true.




In the diagram above, line AB is parallel to line CD, both lines are tangents to circle O and the diameter of circle O is equal in measure to the length of line OH. If the diameter of circle O is 24 in, what is the measure of angle BGH?

  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 75 degrees
  5. cannot be determined

Answer(s): A

Explanation:

Lines OF and OE are radii of circle O and since a tangent and a radius form a right angle, triangles OFH and OGE are right triangles. If the length of the diameter of the circle is 24 in, then the length of the radius is 12 in. The sine of angle OHF is equal to12/24, or1/2. The measure of an angle with a sine of1/2is 30 degrees. Therefore, angle OHF measures 30 degrees. Since angles BGH and OHF are alternating angles, they are equal in measure. Therefore, angle BGH also measures 30 degrees.



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

Answer(s): E

Explanation:

Since AB and CD are parallel lines cut by a transversal, anglef is equal to the sum of angles c and b.
However, angle f and angle g are not equal-- they are supplementary. Therefore, the sum of angles c and b is also supplementary--and not equal--tog.



If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by

  1. 20%.
  2. 36%.
  3. 40%.
  4. 51%.
  5. 120%.

Answer(s): B

Explanation:

The surface area of a cube is equal to 6e2, where e is the length of an edge of a cube. The surface area of a cube with an edge equal to one unit is 6 cubic units. If the lengths of the edges are decreased by 20%, then the surface area becomes cubic units, a decrease of



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