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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

GED Mathematical Reasoning Sample Questions:

1. A 12-meter by 6-meter rectangular floor, shown in the diagram below, is to be covered by vinyl tile.

One box of vinyl tile covers an area of 2.25 square meters. What is the minimum number of boxes of vinyl tile needed to cover the floor?

A) 10
B) 32
C) 14
D) 16
E) 8


2. Student tickets to a high school music concert cost $3 less than adult tickets. One student ticket and one adult ticket can be purchased for less than $15.
If x is the cost of one adult ticket to the concert, which of the following statements is correct?

A) x + x - 4 < 15
B) x + 2x < 15
C) x + x + 3 < 15
D) x + x - 3 < 15
E) x + 2x + x < 15


3. Of the first 80 customers entering a store, 35% purchased at least one item.
How many of the first 80 customers purchased at least one item?

A) 20
B) 28
C) 52
D) 35
E) 30


4. Exhibit.

Which city is projected to have the smallest increase in population by 2015?

A) Mexico City
B) New York City
C) Sao Paulo
D) Mumbai
E) Shanghai


5. Anna hired Byron to refloor a 15-foot by 20-foot rectangular room. Farley hired Byron to refloor a 12-foot by 25-foot rectangular room.
If both paid the cost for transporting the materials, how much MORE did Byron charge Farley than Anna?

A) $200
B) $250
C) $ 50
D) $ 0
E) $100


Solutions:

Question # 1
Answer: B
Question # 2
Answer: D
Question # 3
Answer: B
Question # 4
Answer: B
Question # 5
Answer: D

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