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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Algebraic Problem Solving55%- Graphs and Functions
  • 1. Function notation and relationships
  • 2. Patterns and sequences
  • 3. Interpret and create graphs
- Basic Algebra
  • 1. Expressions, equations, inequalities
  • 2. Linear and quadratic equations
  • 3. Polynomials and rational expressions
Topic 2: Quantitative Problem Solving45%- Geometry
  • 1. Perimeter, area, volume calculations
  • 2. Shapes and properties
  • 3. Coordinate geometry
- Basic Math
  • 1. Measurement and data interpretation
  • 2. Fractions, decimals, percentages
  • 3. Number operations and sense

GED Mathematical Reasoning Sample Questions:

Question 1

Exhibit.

What is the length, in inches, of the diagonal brace?

A. 72
B. 84
C. 48
D. 42
E. 60


Question 2

Exhibit.

Approximately what percent of the floor area of the warehouse was used for the sale of household items?

A. 22%
B. 56%
C. 78%
D. 71%
E. 48%


Question 3

Estelle receives a commission of 5% on her sales up to $10,000 and 8% for sales in excess of that amount. In one week, she had sales that totaled $12,000.
Which of the following expressions shows the number of dollars Estelle earned in commissions during that week?

A. (0.05 × 10,000) + (0.08 × 2,000)
B. 0.08 × 12,000
C. (0.05 × 2,000) + (0.08 × 10,000)
D. 0.05 × 12,000
E. 0.13 × 12,000


Question 4

A soccer team played 30 games. The team won 40 percent of the first 10 games and 70 percent of the remaining games. Which expression correctly shows how many games they won in all?

A. 0.7(20)
B. 0.4(20) + 0.7(10)
C. 0.4(30)
D. 0.4(10) + 0.7(20)
E. 0.4(10) + 0.7(30)


Question 5

Exhibit.

How many MORE small boxes than large boxes can be purchased for $6?

A. 8
B. 6
C. 12
D. 3
E. 4


Solutions:

Question 1
Answer: E
Question 2
Answer: B
Question 3
Answer: A
Question 4
Answer: D
Question 5
Answer: A

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