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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Topic 1: 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
          Topic 2: 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 3: 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)
                          Topic 4: Data Analysis and Statistics- Probability basics
                          • 1. Simple probability problems
                            - Data interpretation
                            • 1. Mean, median, mode, and range
                              • 2. Graphs, charts, and tables

                                GED Mathematical Reasoning Sample Questions:

                                Question 1

                                Exhibit.

                                In which of the listed cities is the population in 2015 projected to be more than a 50% increase from the 1995 population?

                                A. New York City
                                B. Tokyo
                                C. Sao Paulo
                                D. Mexico City
                                E. Mumbai


                                Question 2

                                If 3x + 30 = 9x, what is the value of x?

                                A. 10
                                B. 24
                                C. -10
                                D. -5
                                E. 5


                                Question 3

                                It takes Brian 1 hour and 20 minutes to drive to school. At what time should he leave home to be at school at 10 P.M.?

                                A. 50 P.M.
                                B. 20 P.M.
                                C. 30 P.M.
                                D. 10 P.M.
                                E. 40 P.M.


                                Question 4

                                The dimensions of a rectangular warehouse are 100 meters by 60 meters. Part of the floor space is used to house equipment, and the remainder is used to store crates.
                                If the rectangular area used to house equipment is 40 meters by 40 meters, how many square meters are used for storing crates?

                                A. 4800
                                B. 4400
                                C. 5200
                                D. 6000
                                E. 1600


                                Question 5

                                A blueprint of a building uses a scale where 1 centimeter represents 15 meters. If the actual distance between two points on the building is 210 meters, how long, in centimeters, must a line segment be to represent that distance on the blueprint?


                                Solutions:

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

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