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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

SectionWeightObjectives
Topic 1: Algebra, Functions, and Patterns30%- Equations
- Patterns
- Inequalities
- Slope of a Line
- Solving for Variables
- Ratios and Proportions
Topic 2: Measurement and Geometry20%- Length, Perimeter, Circumference
- Area and Volume
- The Coordinate Plane
Topic 3: Data Analysis, Statistics, and Probability20%- Mean, Median, Mode, Range
- Charts and Graphs
- Probability
Topic 4: Quantitative Problem Solving- Word Problems
Topic 5: Number Operations and Number Sense20%- Fractions and Decimals
- Exponents
- Integers
- Order of Operations
- Squares and Square Roots

GED Mathematical Reasoning Sample Questions:

1. Exhibit.

The boards on the surface of an outdoor deck are often placed at a 45° angle for decorative appeal. The hypotenuse of a 45°-45°-90° right triangle is found by multiplying the length of a leg by √2 . To the nearest tenth of a foot, how long must a board be to cover the diagonal of the square deck shown at the left?

A) 14.1
B) 13.8
C) 13.2
D) 12.6
E) 11.9


2. 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) 10
B) 9
C) 20
D) 16
E) 8


3. The number of games in a shipment must be a multiple of 25 and 40. What is the FEWEST number of games that could be in the shipment?

A) 120
B) 800
C) 200
D) 75
E) 50


4. The ratio of trucks to cars sold at Marathon Motors during the year is about 2 to 5. If the company sold about 500 cars last year, about how many trucks did it sell?

A) 250
B) 300
C) 200
D) 700
E) 500


5. Exhibit.

If bicyclist B were to travel at his same rate of speed for 10 hours, how many miles would he travel?


Solutions:

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

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