GEDeducare Academy 2016 Math


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Louise Badenhorst



The GED® Mathematical Reasoning Test focuses on two major content areas: quantitative problem solving and algebraic problem solving. 

Given these priorities, the GED® Mathematical Reasoning Test adheres to the following parameters:

  • Approximately 45 percent of the content in the test focuses on quantitative problem solving, and approximately 55 percent focuses on algebraic problem solving.

  • The test includes items that test procedural skill and fluency as well as problem solving.

  • The contexts within which problem solving skills are measured were taken from both academic and workforce contexts.

  • Approximately 50 percent of the items are written to a Depth of Knowledge cognitive complexity level of 2.

  • Approximately 30 percent of the items are aligned to a Mathematical Practice standard in addition to a content indicator.

  • The statistics and data interpretation standards are also measured in the GED® Social Studies and Science Tests.

  • Candidates are provided with an on-screen calculator, the Texas Instruments TI-30XS Multiview scientific calculator, for use on most of the items on the 2014 GED® Mathematics Test. They are also given a calculator and reference sheet.

As of Friday, February 21, 2014, the standard time allowance on the GED® test - Mathematical Reasoning was increased by 25 minutes.

  • The time allowance for GED Ready™ - Mathematical Reasoning was also increased by 13 minutes.

  • Students who took either of these tests before February 21 received an email from GED Testing Service with instructions for receiving a free retake.


Term 1

1. Math Basics

1.1 Lesson 1: Operations Basics

  1. Addition and Subtraction
  2. Associative Property
  3. Distributive Property
  4. Exponents and Roots
  5. Integers, Decimals, and Fractions
  6. Multiplication and Division
  7. Order of Operations

1.2 Lesson 2: Factors and Multiples

  1. Greatest Common Factor
  2. Least Common Multiple
  3. Multiples
  4. Multiples and Least Common Multiples
  5. Prime Numbers, Factoring, and Prime Factorization

1.3 Lesson 3: Unit Conversions

  • Rates and Unit Rates


2. Fractions

2.1Lesson 1: Fraction Basics

  1. Changing Mixed Numbers to Improper Fractions
  2. Converting Improper Fractions to Mixed Numbers
  3. Fractions of a Whole
  4. Improper Fractions and Mixed Numbers
  5. Ordering Fractions
Term 2

2.2Lesson 2: Fraction Operations

  1. Adding and Subtracting Fractions
  2. Converting Improper Fractions to Mixed Numbers and Decimals
  3. Converting Mixed Numbers to Decimals and Improper Fractions
  4. Converting Percentages to Decimals and Fractions
  5. Multiplying and Dividing Fractions


3. Decimals

3.1 Lesson 1: Decimal Basics

  1. Decimals
  2. Ordering Decimals

3.2 Lesson 2: Decimal Operations

  1. Adding and Subtracting Decimals
  2. Changing a Number from Standard Form to Scientific Notation
  3. Converting Decimals to Fractions and Percentages
  4. Converting Decimals to Improper Fractions and Mixed Numbers
  5. Dividing Decimals
  6. Multiplying Decimals
  7. Scientific Notation


4. Solving Equations

4.1 Lesson 1: Equation Basics

  1. Absolute Value
  2. Arithmetic Sequences
  3. Solving an Equation Using Four Basic Operations
  4. Solving Equations Using Addition and Subtraction
  5. Solving Equations Using Multiplication and Division
  6. Solving Equation with Absolute Value
Term 3

4.2 Lesson 2: Inequalities

  1. Equations and Inequalities
  2. Graphing Solutions to Linear Inequalities
  3. Linear Inequalities
  4. Solving Absolute Value Inequalities
  5. Solving Inequalities Using All four Basic Operations

4.3 Lesson 3: Linear System of Equations

  1. Comparison of Methods for Solving System of Equations
  2. Linear Equations Basics
  3. System of Linear Equations
  4. System of Equations Basics

4.4 Lesson 4: Graphing of Linear Equations and Functions

  1. Changing Constants in Graphs of Functions: Linear Functions
  2. Changing Constants in Graphs of Functions: Quadratic Equations
  3. Graphing Absolute Value Equations
  4. Graphing Linear Equations
  5. Graphing the Inverse of a Function
  6. Graphs of Functions
  7. Solutions of a Quadratic Equation on a Graph
  8. Using a Graph

4.5 Lesson 5: Word Problems

  1. Right Triangle Word Problems
  2. Word Problems and Addition
  3. Word Problems and Division
  4. Word Problems and Multiplication
  5. Word Problems and Subtraction
Term 4

5. Geometry

5.1 Lesson 1: Angle Basics

  1. Angles
  2. Geometric Symbols: Angles

5.2 Lesson 2: Triangles

  1. Area and Perimeter of a Triangle
  2. Measurements for Similar Triangles
  3. Measurements for Similar Triangles – Continued
  4. Measurements for Similar Triangles – Continued II
  5. Proof that a Triangle is 180 Degrees
  6. Similar Triangles

5.3 Lesson 3: Circles

  1. Area and Circumference of a Circle
  2. Finding Measurements for Parts of a Circle
  3. Unit Circles and Standard Position

5.4 Lesson 4: Volume and Surface Area of 3D Shapes

  1. 3D Geometric Shapes
  2. Volume and Surface Area of a Cube
  3. Volume and Surface Area of a Pyramid
  4. Volume and Surface Area of a Rectangular Solid
  5. Volume and Surface Area of a Circular Cone
  6. Volume and Surface Area of a Circular Cylinder
  7. Volume and Surface Area of a Sphere


6. Probability, Statistics, Percentages, Ratios, and Proportions

6.1 Lesson 1: Probability

  • Theoretical and Experimental Probability

6.2 Lesson 2: Percentages, Ratios, and Proportions

  1. Calculation of a Percentage
  2. Computation with Percentages
  3. Finding the Percentage Decrease
  4. Finding the Percentage Increase
  5. Percentages
  6. Proportions
  7. Proportions and Percents
  8. Proportions in the Real World
  9. Ratios and Percentages

Algebra, Functions, and Patterns

Patterns are a simpler mathematical application, and involve detecting and foretelling a sequence of figures accurately. Functions and Algebra are frequently paired together, as high school students typically learn about functions as part of their Pre-Algebra curriculum. Functions are a type of equation that seek to assess how two numbers connect based on a given variable. Variables are a distinct part of Algebra, which can be defined as a mathematical system driven by variables, equations, and numeric associations.


Number Operations and Number Sense

The Number Operations and Number Sense section of the Mathematical Reasoning test evaluates how well you can identify the numbers you see, and how well you can solve basic arithmetic problems. For the latter, you’ll have to utilize division, addition, multiplication, and subtraction. With the former, you’ll be expected to demonstrate that you know what numbers mean when you see them—what they’re for, how much they’re worth, and how different numbers compare with each other. This knowledge category is the simplest subject you’ll find on this part of the exam.


Data Analysis, Statistics, and Probability

Statistics represents the mathematical process used for making logical predictions based on the numbers involved. It goes hand in hand with Probability, which is used to predict the frequency of a given event. Data analysis is exactly as it says on the tin—your ability to interpret numerical data presented to you.


Measurement and Geometry

Geometry deals with the study and calculation of shapes. With Geometry-based questions, you’ll find subject matter related to angles, points, and much more. Measurement involves Geometry on a three-dimensional basis, and will likely ask you to find quantities such as perimeters, areas, distances, and volumes, among other things. Here is where you’ll likely have to refer to your formula sheet quite a bit, as well as do some drawing to get to your answers.


While this study guide isn’t 100 percent comprehensive, we hope it will be of great help to you as you prepare for this important next step in your academic and/or professional careers.












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