GED GED-Mathematical-Reasoning : GED Mathematical Reasoning Exam

  • Exam Code: GED-Mathematical-Reasoning
  • Exam Name: GED Mathematical Reasoning Exam
  • Updated: Aug 25, 2026
  • Q & A: 302 Questions and Answers

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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Topic 1: Geometry and Measurement- Geometric concepts
  • 1. Perimeter, area, and volume
    • 2. Properties of shapes and figures
      - Measurement and spatial reasoning
      • 1. Coordinate plane geometry
        • 2. Unit measurement and conversions
          Topic 2: Quantitative Problem Solving- Number operations and number sense
          • 1. Fractions, decimals, and percentages
            • 2. Ratios and proportions
              - Word problems involving real-world contexts
              • 1. Rates, proportions, and unit conversions
                • 2. Financial mathematics (interest, budgeting basics)
                  Topic 3: Data Analysis and Statistics- Probability basics
                  • 1. Simple probability problems
                    - Data interpretation
                    • 1. Graphs, charts, and tables
                      • 2. Mean, median, mode, and range
                        Topic 4: Algebraic Problem Solving- Expressions and equations
                        • 1. Simplifying algebraic expressions
                          • 2. Linear equations and inequalities
                            - Functions and patterns
                            • 1. Linear functions and slope
                              • 2. Interpreting graphs and functions

                                GED Mathematical Reasoning Sample Questions:

                                1. Exhibit.

                                Expressions for the measures of the angles of a triangle are shown in the diagram below.
                                Which of the following equations would be used to find the value of x?

                                A) 2x + 15 + x + 20 = 3x + 25
                                B) 3x + 25 + 2x + 15 = x + 20
                                C) 3x + 25 + x + 20 = 2x + 15
                                D) 3x + 25 + 2x + 15 + x + 20 = 360
                                E) 3x + 25 + 2x + 15 + x + 20 = 180


                                2. Exhibit.

                                Which of the following represents the PERIMETER of the rectangle?

                                A) 26x
                                B) 26
                                C) 40x2
                                D) 13x
                                E) 8x2


                                3. If 3x + 30 = 9x, what is the value of x?

                                A) 10
                                B) -10
                                C) 24
                                D) -5
                                E) 5


                                4. Tara earns $460 for working 40 hours a week. This week she also earned $69 in overtime pay and a bonus of $75 for meeting her weekly production quota. Withheld from her pay were $86 for taxes and $18 for insurance.
                                Which of the following expressions represents the number of dollars Tara received in her paycheck this week?

                                A) 69 + 75 - (86 + 18)
                                B) 460 - (69 + 75) - (86 + 18)
                                C) 460 + 69 + 75 - (86 + 18)
                                D) 460 + 69 + 75 + 86 + 18
                                E) 460 + 69 + 75 - (86 - 18)


                                5. The surface area of a cube is found using the formula A = 6e2, where A is the surface area and e is the length of an edge of the cube.
                                What is the surface area, in square centimeters, of a cube that has an edge of length 6 centimeters?


                                Solutions:

                                Question # 1
                                Answer: E
                                Question # 2
                                Answer: A
                                Question # 3
                                Answer: E
                                Question # 4
                                Answer: C
                                Question # 5
                                Answer: Only visible for members

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