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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

                                GED Mathematical Reasoning Sample Questions:

                                1. An irrigation system for a small farm uses 750 gallons of water per hour. The system was turned on for 5 consecutive days for the following numbers of hours: 4.5, 8, 6.5, 2.5, and 8. What was the mean (average) number of gallons of water used daily by the irrigation system during those 5 days?

                                A) 22,125
                                B) 21,000
                                C) 3,161
                                D) 3,688
                                E) 4,425


                                2. Exhibit.

                                What is the cost, in dollars, to rent each video under Plan A?


                                3. Exhibit.

                                If the trend from March to July continues, approximately how many items will be in the warehouse in August?

                                A) 3000
                                B) 2500
                                C) 4000
                                D) 4500
                                E) 3500


                                4. Exhibit.

                                The slopes of the lines give the average growth rates of the plants, in centimeters per week, using the two fertilizers.
                                What is the average growth rate, in centimeters per week, using fertilizer A?

                                A) 15
                                B) 5
                                C) 45
                                D) 10
                                E) 85


                                5. Producers of a popular quiz show asked potential contestants a series of 10 questions. The table below shows the numbers of questions answered correctly by the 20 potential contestants.

                                What was the mean (average) number of questions answered correctly by the 20 potential contestants?


                                Solutions:

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

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