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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Topic 1: 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
          Topic 2: Geometry and Measurement- Measurement and spatial reasoning
          • 1. Coordinate plane geometry
            • 2. Unit measurement and conversions
              - Geometric concepts
              • 1. Perimeter, area, and volume
                • 2. Properties of shapes and figures
                  Topic 3: Data Analysis and Statistics- Probability basics
                  • 1. Simple probability problems
                    - Data interpretation
                    • 1. Mean, median, mode, and range
                      • 2. Graphs, charts, and tables
                        Topic 4: 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

                                GED Mathematical Reasoning Sample Questions:

                                Exhibit.

                                Which of the following functions represents the depth of water (d) in the tank in terms of the number of hours (t) after the refilling began?

                                • A. d = 2t + 4
                                • B. d = 0.50t + 2
                                • C. d = 0.50t + 4
                                • D. d = 0.50t
                                • E. d = 2t
                                Answer: C

                                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. 3x + 25 + 2x + 15 + x + 20 = 180
                                • B. 3x + 25 + 2x + 15 + x + 20 = 360
                                • C. 2x + 15 + x + 20 = 3x + 25
                                • D. 3x + 25 + x + 20 = 2x + 15
                                • E. 3x + 25 + 2x + 15 = x + 20
                                Answer: A

                                A soccer team played 30 games. The team won 40 percent of the first 10 games and 70 percent of the remaining games. Which expression correctly shows how many games they won in all?

                                • A. 0.4(20) + 0.7(10)
                                • B. 0.7(20)
                                • C. 0.4(10) + 0.7(30)
                                • D. 0.4(10) + 0.7(20)
                                • E. 0.4(30)
                                Answer: D

                                The ratio of VCR tapes to DVD disks available for rent at a local video store is 5.6 to 1. If there are 2436 VCR tapes, how many DVD disks are available?

                                Answer:

                                disks

                                Gustavo bought 20 glasses for $1.50 each and had to pay an 8% sales tax. Because he was sending them to a friend, he also had the glasses securely packed for an additional charge (not taxed) of $6.95.
                                What was the total amount Gustavo paid for the glasses and packing?

                                • A. $ 8.57
                                • B. $39.35
                                • C. $32.40
                                • D. $18.95
                                • E. $36.95
                                Answer: B

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