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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Data Analysis and Statistics- Data interpretation
  • 1. Graphs, charts, and tables
    • 2. Mean, median, mode, and range
      - Probability basics
      • 1. Simple probability problems
        Quantitative Problem Solving- Word problems involving real-world contexts
        • 1. Rates, proportions, and unit conversions
          • 2. Financial mathematics (interest, budgeting basics)
            - Number operations and number sense
            • 1. Fractions, decimals, and percentages
              • 2. Ratios and proportions
                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
                        Geometry and Measurement- Measurement and spatial reasoning
                        • 1. Unit measurement and conversions
                          • 2. Coordinate plane geometry
                            - Geometric concepts
                            • 1. Perimeter, area, and volume
                              • 2. Properties of shapes and figures

                                GED Mathematical Reasoning Sample Questions:

                                1. Exhibit.

                                A rectangular garden was separated into two equal areas by placing a fence along a diagonal of the rectangle, as shown in the diagram below.
                                What is the length (d), in feet, of the diagonal fence?

                                A) 26
                                B) 22
                                C) 20
                                D) 23
                                E) 28


                                2. Jerard is shopping for a new stereo. World Market has a stereo on sale for $109.99, and Jerard has a coupon that will give him $20 off any purchase over $100. Yates' Electronics has the same stereo on sale for 25 percent off their regular price of $129.99. What is the lowest price Jerard can pay for this stereo?

                                A) $82.49
                                B) $32.50
                                C) $27.50
                                D) $97.49
                                E) $89.99


                                3. Because correcting errors reduces the actual number of words per minute a person might type, some people use the following formula to calculate effective typing speed (T) in words per minute:

                                Where w is the number of words typed in 5 minutes, and e is the number of errors made.
                                If Cesar types 325 words in 5 minutes and makes 5 errors, what would be the value of T?

                                A) 10
                                B) 315
                                C) 15
                                D) 55
                                E) 65


                                4. Exhibit.

                                If ray XA is rotated 185° clockwise about X, its endpoint will then be closest to which of the points on the circle?

                                A) C
                                B) E
                                C) F
                                D) D
                                E) B


                                5. How many 4-ounce hamburger patties can be made from 25.5 pounds of hamburger? (1 pound = 16 ounces)


                                Solutions:

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

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