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GED GED-Mathematical-Reasoning Exam Syllabus Topics:

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

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


2. Exhibit.

If ray XA is rotated 185° clockwise about X, its endpoint will then be closest to which of the points on the circle?

A) F
B) B
C) C
D) E
E) D


3. The weight of a can of soup is listed as 10.8 ounces, or 306 grams. A larger can of the same soup weighs 18.8 ounces.
Which of the following is closest to the weight, in grams, of the larger can of soup?

A) 520
B) 560
C) 530
D) 550
E) 540


4. An art gallery has 27 paintings for sale, each at a different price. The median price of the paintings is $250.
How many of the paintings have a price higher than $300?

A) 14
B) 13
C) Not enough information is given.
D) 12
E) 10


5. Exhibit.

What is the minimum length, in inches, of chain needed to reach from the anchor to the end of the sign?

A) 51
B) 47
C) 49
D) 39
E) 43


Solutions:

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

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