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Last Updated: Aug 06, 2026

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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

GED Mathematical Reasoning Sample Questions:

1. A police officer stopped Martin for driving 65 miles per hour, or 10 miles per hour over the posted speed limit. The fine for speeding is $50.00 plus $10.00 for each mile per hour over the speed limit, up to 5, and then $15.00 for each mile per hour over that. Which expression below shows how much Martin was fined?

A) $50.00 + $10.00(10)
B) $50.00 + $10.00
C) $50.00 + $10.00 + $15.00
D) $50.00 + $15.00
E) $50.00 + $10.00E.


2. To be eligible to vote in the town of Clayton, a person must be a citizen of the town and at least 18 years of age. Of the town's 5000 residents, 3000 are at least 18 years old. Of these, 2700 have registered to vote.
A pool of 35 Clayton jurors is to be randomly selected next month from the town's registered voters. Luis, who is 15 years old, lives in Clayton.
What is the probability Luis will be among those selected for the jury pool next month?
A) 0
B)

C)

D)

E) Not enough information is given.

A) Option E
B) Option B
C) Option C
D) Option A
E) Option D


3. Juan is taking a computer software class to improve his job skills. His employer will pay for the course if Juan's average test grade in the class is 90% or higher. On the first three tests, Juan's grades were 86%, 88%, and 95%.
What is the minimum grade Juan must earn on his fourth and final test so that his employer will pay for the class?

A) 92%
B) 94%
C) 90%
D) 91%
E) 93%


4. Exhibit.

Keomi entered the parking garage at 9:30 A.M. and left at 30 P.M. the same day.
What did she have to pay for parking?

A) $ 9
B) $ 8
C) $ 4
D) $ 5
E) $10


5. Exhibit.

Each bag of topsoil that Kyle wants to purchase will cover an area of 2.25 square feet. What is the minimum number of bags he should purchase to cover the garden area?

A) 16
B) 8
C) 10
D) 9
E) 20


Solutions:

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

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