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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
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
          Data Analysis and Statistics- Data interpretation
          • 1. Mean, median, mode, and range
            • 2. Graphs, charts, and tables
              - Probability basics
              • 1. Simple probability problems
                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
                        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

                                GED Mathematical Reasoning Sample Questions:

                                Question 1

                                A certain car can be ordered in 6 different paint colors, 3 different styles of interiors, and 2 different accessory packages. From how many different cars of this type can a customer choose?


                                Question 2

                                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. $20
                                B. $40
                                C. $50
                                D. $30
                                E. $10


                                Question 3

                                City Commuter Airplane Service is considering the purchase of another airplane for its fleet. The cruising speeds of the two choices are shown in the graph below.

                                In minutes, how much LONGER would it take plane B to travel 300 miles than it would take plane A to travel the same distance?

                                A. 60
                                B. 40
                                C. 20
                                D. 75
                                E. 30


                                Question 4

                                A storage room is 8 meters long, 4 meters wide, and 2 meters high. What is the volume of the storage room in cubic meters?

                                A. 64
                                B. 32
                                C. 14
                                D. 16
                                E. 34


                                Question 5

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


                                Solutions:

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

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