SAT SAT-Mathematics - Section Two : Mathematics

SAT SAT-Mathematics Actual PDF
  • Exam Code: SAT-Mathematics
  • Exam Name: Section Two : Mathematics
  • Updated: Oct 02, 2026
  • Q & A: 160 Questions and Answers
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SAT SAT-Mathematics Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Problem-Solving and Data Analysis15%- Data interpretation
  • 1. Ratios, percentages, and proportions
    • 2. Statistical reasoning
      Topic 2: Geometry and Trigonometry15%- Geometric and trigonometric relationships
      • 1. Triangles and circles
        • 2. Basic trigonometric functions
          Topic 3: Advanced Math35%- Nonlinear expressions and equations
          • 1. Polynomial manipulation
            • 2. Quadratic functions
              Topic 4: Algebra35%- Linear equations and inequalities
              • 1. Systems of linear equations
                • 2. One-variable equations

                  SAT Section Two : Mathematics Sample Questions:

                  Question #1

                  If -6b + 2a - 25 = 5 and a/b + 6 = 4, what is the value of (b/a)2?

                  Reveal Solution  Discussion  0

                  Correct Answer:

                  1/4
                  Explanation/Reference:
                  Solve-6b + 2a - 25 = 25for a in terms ofb: -6b + 2a - 25 = 5, -3b + a = 15, a = 15+3b. Substitute a in terms

                  of b into the second equation: Substitute b into
                  the first equation to find the value ofa: -6b + 2a - 25 = 5, -6(-3) 2a - 25 = 5, 18+2a = 30, 2a = 12, a = 6.

                  Finally,

                  Question #2


                  In the circle above, the measure of angle AOB is 80 degrees and the length of arc AB is 28(Pi) units. What is
                  the radius of the circle?

                  Reveal Solution  Discussion  0

                  Correct Answer:

                  63
                  Explanation/Reference:
                  The size of an intercepted arc is equal to the measure of the intercepting angle divided by360, multiplied
                  by the circumference of the circle (2(Pi)r, where r is the radius of the circle):

                  units.

                  Question #3

                  An empty crate weighs 8.16 kg and an orange weighs 220 g. If Jon can lift 11,000 g, how many oranges
                  can he pack in the crate before lifting it onto his truck?

                  • A. 12
                  • B. 46
                  • C. 37
                  • D. 50
                  • E. 13
                  Reveal Solution  Discussion  0

                  Correct Answer: A  🗳️

                  Explanation: Only visible for TestPDF members. You can sign-up / login (it's free).

                  Question #4

                  The point (2, 1) is the midpoint of a line with endpoints at (5,3) and

                  • A. (9,1)
                  • B. (3,4)
                  • C. (7,1)
                  • D. (10, 3)
                  • E. (7,2)
                  Reveal Solution  Discussion  0

                  Correct Answer: A  🗳️

                  Explanation: Only visible for TestPDF members. You can sign-up / login (it's free).

                  Question #5

                  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?

                  Reveal Solution  Discussion  0

                  Correct 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.

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