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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

                                GED Mathematical Reasoning Sample Questions:

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

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


                                2. The United States and Indonesia have the same percent of inland water area, but their total areas are different.

                                Approximately how many times as great as the total area of Indonesia is the total area of the United States?

                                A) 12
                                B) 10
                                C) 4
                                D) 8
                                E) 6


                                3. Santos runs a restaurant in his neighborhood. Of his employees, 4/5 are willing to work nights. Of those willing to work nights, ½ are willing to work on weekends.
                                If Santos has 40 employees, how many are willing to work on weekend nights?

                                A) 16
                                B) 5
                                C) 20
                                D) 24
                                E) 32


                                4. Exhibit.

                                If Keisha purchased 10 CDs during the year, how much MORE would she pay if she were NOT a member of the club than if she were a member?

                                A) $50
                                B) $30
                                C) $20
                                D) $40
                                E) $10


                                5. Exhibit.

                                How many gallons of gas were in the generator's gasoline tank before the generator was turned on?


                                Solutions:

                                Question # 1
                                Answer: D
                                Question # 2
                                Answer: D
                                Question # 3
                                Answer: A
                                Question # 4
                                Answer: B
                                Question # 5
                                Answer: Only visible for members

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