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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Geometry and Measurement- Geometric concepts
  • 1. Properties of shapes and figures
    • 2. Perimeter, area, and volume
      - Measurement and spatial reasoning
      • 1. Unit measurement and conversions
        • 2. Coordinate plane geometry
          Algebraic Problem Solving- Functions and patterns
          • 1. Linear functions and slope
            • 2. Interpreting graphs and functions
              - Expressions and equations
              • 1. Linear equations and inequalities
                • 2. Simplifying algebraic expressions
                  Data Analysis and Statistics- Data interpretation
                  • 1. Mean, median, mode, and range
                    • 2. Graphs, charts, and tables
                      - Probability basics
                      • 1. Simple probability problems
                        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)

                                GED Mathematical Reasoning Sample Questions:

                                1. Ben has a net (after-tax) monthly income of $1200. He has budgeted part of that money for the expenses listed in the table below.

                                Approximately what percent of Ben's net monthly income has he budgeted for expenses related to his car?

                                A) 15%
                                B) 11%
                                C) 14%
                                D) 4%
                                E) 7%


                                2. The base and sides of the roof of an A-frame structure are all 30 feet long. A front view of the structure is shown in the diagram below.

                                What is the approximate height (h), in feet, of the structure?

                                A) 26
                                B) 20
                                C) 15
                                D) 10
                                E) 29


                                3. If a helicopter flies at an average speed of 80 kilometers per hour, approximately how long will it take to travel 650 kilometers?

                                A) 9 to 10 hours
                                B) 6 to 7 hours
                                C) 8 to 9 hours
                                D) 7 to 8 hours
                                E) 5 to 6 hours


                                4. CableTV charges $37.50 per month for its premium service plus $3.25 for each movie requested by phone. Andre subscribed to the premium service for 10 months and requested 20 movies by phone during that time. What was the total amount, in dollars, that he paid CableTV during those 10 months?


                                5. Exhibit.

                                In the figure at the left, parallel lines RQ and TS are intersected by a third line.
                                What is the measure of angle PQR?

                                A) 120°
                                B) 80°
                                C) 60°
                                D) 30°
                                E) 100°


                                Solutions:

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

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