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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

                                GED Mathematical Reasoning Sample Questions:

                                1. Exhibit.

                                Trapezoid ABCD is shown in the diagram below.
                                Which of the following words best describes the relationship between side AB and side DC?

                                A) parallel
                                B) equal
                                C) intersecting
                                D) perpendicular
                                E) skewed


                                2. Exhibit.

                                What is the measure of angle BCD?

                                A) 120°
                                B) 50°
                                C) 130°
                                D) 70°
                                E) 60°


                                3. At Grant's Stereo Shop, economy cassette tapes are sold in packages of 10 for $16, or separately for $2 each. Jimmy buys 1 package of 10 tapes and 5 separately packaged tapes. Which of the following expressions equals the average price, in dollars, of his cassette tapes?

                                A)

                                B)

                                C)

                                D)

                                E)


                                4. If x = -3 and y = 4, which of the following is the value of the expression 2xy2 + x2 ?

                                A) -87
                                B) -54
                                C) -42
                                D) -105
                                E) -39


                                5. Exhibit.

                                For which two investments was the same amount of money initially invested?

                                A) B and D
                                B) A and B
                                C) A and D
                                D) A and C
                                E) B and C


                                Solutions:

                                Question # 1
                                Answer: A
                                Question # 2
                                Answer: C
                                Question # 3
                                Answer: B
                                Question # 4
                                Answer: A
                                Question # 5
                                Answer: C

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