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SAT SAT-Mathematics Exam Syllabus Topics:

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

                  SAT Section Two : Mathematics Sample Questions:

                  A bus holds 68 people. If there must be one adult for every four children on the bus, how many children
                  can fit on the bus?

                  Reveal Solution  Discussion  0

                  Correct Answer:

                  52
                  Explanation/Reference:

                  There is one adult for every four children on the bus. Divide the size of the bus, 68, by
                  There can be no more than 13 groups of one adult, four children. Therefore, there can be no more than
                  (13 groups)(4 children in a group) = 52 children on the bus.

                  If which of the following could be true?

                  • A. Option D
                  • B. Option A
                  • C. Option B
                  • D. Option E
                  • E. Option C
                  Reveal Solution  Discussion  0

                  Correct Answer: B  🗳️

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

                  If

                  • A. Option D
                  • B. Option A
                  • C. Option B
                  • D. Option E
                  • E. Option C
                  Reveal Solution  Discussion  0

                  Correct Answer: E  🗳️

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


                  • A. Option D
                  • B. Option A
                  • C. Option B
                  • D. Option E
                  • E. Option C
                  Reveal Solution  Discussion  0

                  Correct Answer: A  🗳️

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

                  In Marie's fish tank, the ratio of guppies to platies is 4:5. She adds nine guppies to her fish tank and the
                  ratio of guppies to platies becomes 5:4. How many guppies are in the fish tank now?

                  Reveal Solution  Discussion  0

                  Correct Answer:

                  25
                  Explanation/Reference:
                  If the original ratio of guppies, g, to plates, p, is 4:5, then g =4/5pIf nine guppies are added, then the new
                  number of guppies, g + 9, is equal to5/4p: g+9 = 5/4p.Substitute the value of g in terms of p from the first
                  equation:4/5 p+9 = 5/4p,9 = 9/20p, =p = 20.There are 20 plates in the fish tank and there are now20(5/4)
                  =25guppies in the fish tank.

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