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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionObjectives
Topic 1: 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. Ratios and proportions
        • 2. Fractions, decimals, and percentages
          Topic 2: Algebraic Problem Solving- Functions and patterns
          • 1. Linear functions and slope
            • 2. Interpreting graphs and functions
              - Expressions and equations
              • 1. Simplifying algebraic expressions
                • 2. Linear equations and inequalities
                  Topic 3: 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 4: Data Analysis and Statistics- Data interpretation
                          • 1. Graphs, charts, and tables
                            • 2. Mean, median, mode, and range
                              - Probability basics
                              • 1. Simple probability problems

                                GED Mathematical Reasoning Sample Questions:

                                1. To create a vegetable garden, Lian plans to enclose a 200-square-foot portion of her backyard with fencing. How many feet of fencing will she need?

                                A) 60
                                B) 66
                                C) 90
                                D) 108
                                E) Not enough information is given.


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


                                3. Exhibit.

                                How much MORE would it cost to rent 6 videos per month under Plan D than to rent 6 videos per month under Plan C?

                                A) $12
                                B) $10
                                C) $ 8
                                D) $20
                                E) $16


                                4. A second grain bin is identical in shape to the first, but the size of the opening for the chute is different. The depth of grain in both bins is shown in the graph below.

                                How do the initial depth of the grain and the size of the chute opening of the second bin compare to those of the first bin?

                                A) more grain and a smaller chute opening
                                B) the same amount of grain and a smaller chute opening
                                C) less grain and a smaller chute opening
                                D) less grain and a larger chute opening
                                E) more grain and a larger chute opening


                                5. Exhibit.

                                The committee responsible for making the arrangements for an upcoming conference can rent the following sizes of tables.
                                There are 600 people registered for the conference. All of the following combinations of tables will allow all those registered to be seated. Which will allow them to be seated at the LEAST cost?

                                A) 50 medium tables
                                B) 100 small tables
                                C) 30 medium tables and 40 small tables
                                D) 30 large tables and 5 medium tables
                                E) 33 large tables and 1 small table


                                Solutions:

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

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