# FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide

• Course type: Self-paced
• Available Lessons: 75
• Average Lesson Length: 8 min
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• FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide Practice Test
• This course can be found in: FTCE Test Prep

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### Course Summary

This self-paced study course addresses all the topics you'll find on the FTCE General Knowledge Mathematics subtest. Use our bite-sized video lessons and mini quizzes to check your understanding of the concepts and make sure you're ready for test day. This Study.com course was last updated in 2018.
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#### 10 chapters in FTCE General Knowledge Test (GK) (828): Mathematics Subtest Practice & Study Guide

Course Practice Test

Check your knowledge of this course with a 50-question practice test.
• Comprehensive test covering all topics
• Detailed video explanations for wrong answers
Week {{::cp.getGoalWeekForTopic(1, 10)}}
Ch 2. FTCE: Number Sense and Math Operations {{cp.topicAssetIdToProgress[11439].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What are the Different Types of Numbers?
Score: {{cp.lessonAssetIdToProgress[655].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[655].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Comparing and Ordering Decimals
Score: {{cp.lessonAssetIdToProgress[11277].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11277].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Performing Operations with Decimals
Score: {{cp.lessonAssetIdToProgress[207229].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[207229].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Comparing and Ordering Fractions
Score: {{cp.lessonAssetIdToProgress[10615].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10615].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Performing Basic Operations with Fractions
Score: {{cp.lessonAssetIdToProgress[460833].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[460833].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Using the Number Line to Compare Decimals, Fractions, and Whole Numbers
Score: {{cp.lessonAssetIdToProgress[18550].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18550].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - How to Perform Addition: Steps & Examples
Score: {{cp.lessonAssetIdToProgress[17867].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17867].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - How to Perform Subtraction: Steps & Examples
Score: {{cp.lessonAssetIdToProgress[17868].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17868].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Perform Multiplication: Steps & Examples
Score: {{cp.lessonAssetIdToProgress[17869].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17869].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - How to Perform Division: Steps & Examples
Score: {{cp.lessonAssetIdToProgress[17870].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17870].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Solving Word Problems: Steps & Examples
Score: {{cp.lessonAssetIdToProgress[18685].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18685].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - What Is The Order of Operations in Math? - Definition & Examples
Score: {{cp.lessonAssetIdToProgress[10611].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10611].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(2, 10)}}
Ch 3. FTCE: Data Analysis & Visualization {{cp.topicAssetIdToProgress[604325].percentComplete}}% complete
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Lesson 1 - Creating & Interpreting Histograms: Process & Examples
Score: {{cp.lessonAssetIdToProgress[17698].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17698].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Reading & Interpreting Bar Graphs
Score: {{cp.lessonAssetIdToProgress[43734].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[43734].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Circle Graph: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[9140].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9140].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Reading & Interpreting Pictographs
Score: {{cp.lessonAssetIdToProgress[46842].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[46842].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Line Plot in Math? - Definition & Examples
Score: {{cp.lessonAssetIdToProgress[21767].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21767].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - How to Calculate Mean, Median, Mode & Range
Score: {{cp.lessonAssetIdToProgress[2388].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2388].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Calculating the Mean, Median, Mode & Range: Practice Problems
Score: {{cp.lessonAssetIdToProgress[16174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[16174].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Calculating the Standard Deviation
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Week {{::cp.getGoalWeekForTopic(3, 10)}}
Ch 4. FTCE: Probability {{cp.topicAssetIdToProgress[11443].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Use the Fundamental Counting Principle
Score: {{cp.lessonAssetIdToProgress[22088].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[22088].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Organizing and Understanding Data with Tables & Schedules
Score: {{cp.lessonAssetIdToProgress[18418].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18418].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Contingency Table: Statistics, Probability & Examples
Score: {{cp.lessonAssetIdToProgress[9153].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[9153].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Frequency & Relative Frequency Tables: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[17694].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17694].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Tree Diagrams in Math: Definition & Examples
Score: {{cp.lessonAssetIdToProgress[21730].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[21730].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Probability of Independent and Dependent Events
Score: {{cp.lessonAssetIdToProgress[2391].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2391].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Probability of Simple, Compound and Complementary Events
Score: {{cp.lessonAssetIdToProgress[2390].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2390].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Either/Or Probability: Overlapping and Non-Overlapping Events
Score: {{cp.lessonAssetIdToProgress[2392].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2392].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(5, 10)}}
Ch 6. FTCE: Algebraic Thinking {{cp.topicAssetIdToProgress[11442].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - What is a Variable in Algebra?
Score: {{cp.lessonAssetIdToProgress[11049].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11049].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Expressing Relationships as Algebraic Expressions
Score: {{cp.lessonAssetIdToProgress[11050].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11050].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Evaluating Simple Algebraic Expressions
Score: {{cp.lessonAssetIdToProgress[11051].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11051].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Practice Simplifying Algebraic Expressions
Score: {{cp.lessonAssetIdToProgress[11055].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11055].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(6, 10)}}
Ch 7. FTCE: Equations and Inequalities {{cp.topicAssetIdToProgress[604329].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Problem solving using Linear Equations
Score: {{cp.lessonAssetIdToProgress[11427].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11427].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Solving Linear Equations: Practice Problems
Score: {{cp.lessonAssetIdToProgress[11425].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11425].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Linear Inequality: Solving, Graphing & Problems
Score: {{cp.lessonAssetIdToProgress[4691].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[4691].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Solving Linear Inequalities: Practice Problems
Score: {{cp.lessonAssetIdToProgress[11430].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[11430].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - What is a Linear Function? - Definition & Examples
Score: {{cp.lessonAssetIdToProgress[4999].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[4999].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - Writing & Evaluating Real-Life Linear Models: Process & Examples
Score: {{cp.lessonAssetIdToProgress[14503].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14503].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Interpreting the Slope & Intercept of a Linear Model
Score: {{cp.lessonAssetIdToProgress[16791].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[16791].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - What is a Quadratic Equation? - Definition & Examples
Score: {{cp.lessonAssetIdToProgress[17863].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17863].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - How to Solve a Quadratic Equation by Graphing
Score: {{cp.lessonAssetIdToProgress[81439].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[81439].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - Using Quadratic Formulas in Real Life Situations
Score: {{cp.lessonAssetIdToProgress[69938].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[69938].bestScoreQuestions}}  Take Quiz Optional
Lesson 11 - Graphing & Solving Quadratic Inequalities: Examples & Process
Score: {{cp.lessonAssetIdToProgress[14829].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[14829].bestScoreQuestions}}  Take Quiz Optional
Lesson 12 - Using Quadratic Functions to Model a Given Data Set or Situation
Score: {{cp.lessonAssetIdToProgress[27184].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[27184].bestScoreQuestions}}  Take Quiz Optional
Lesson 13 - Comparing Linear, Quadratic & Exponential Models
Score: {{cp.lessonAssetIdToProgress[221411].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[221411].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(7, 10)}}
Ch 8. FTCE: Geometry and Spatial Sense {{cp.topicAssetIdToProgress[11441].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - Area of Complex Figures
Score: {{cp.lessonAssetIdToProgress[10607].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10607].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - How to Calculate the Volumes of Basic Shapes
Score: {{cp.lessonAssetIdToProgress[174].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[174].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Properties of Shapes: Rectangles, Squares and Rhombuses
Score: {{cp.lessonAssetIdToProgress[2400].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2400].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Properties of Shapes: Quadrilaterals, Parallelograms, Trapezoids, Polygons
Score: {{cp.lessonAssetIdToProgress[10602].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10602].bestScoreQuestions}}  Take Quiz Optional
Lesson 5 - Overview of Three-dimensional Shapes in Geometry
Score: {{cp.lessonAssetIdToProgress[20055].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[20055].bestScoreQuestions}}  Take Quiz Optional
Lesson 6 - The Pythagorean Theorem: Practice and Application
Score: {{cp.lessonAssetIdToProgress[2403].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[2403].bestScoreQuestions}}  Take Quiz Optional
Lesson 7 - Properties of Congruent and Similar Shapes
Score: {{cp.lessonAssetIdToProgress[10603].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10603].bestScoreQuestions}}  Take Quiz Optional
Lesson 8 - Calculations with Ratios and Proportions
Score: {{cp.lessonAssetIdToProgress[10625].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[10625].bestScoreQuestions}}  Take Quiz Optional
Lesson 9 - Practice Problems for Calculating Ratios and Proportions
Score: {{cp.lessonAssetIdToProgress[17719].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[17719].bestScoreQuestions}}  Take Quiz Optional
Lesson 10 - How to Read and Interpret Scale Drawings
Score: {{cp.lessonAssetIdToProgress[18597].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18597].bestScoreQuestions}}  Take Quiz Optional
Week {{::cp.getGoalWeekForTopic(8, 10)}}
Ch 9. FTCE: Measurement {{cp.topicAssetIdToProgress[11440].percentComplete}}% complete
Course Progress Best Score
Lesson 1 - How to Convert Units in the Metric System
Score: {{cp.lessonAssetIdToProgress[18596].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[18596].bestScoreQuestions}}  Take Quiz Optional
Lesson 2 - Using Measurement to Solve Real-World Problems
Score: {{cp.lessonAssetIdToProgress[60890].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[60890].bestScoreQuestions}}  Take Quiz Optional
Lesson 3 - Converting Numbers to Scientific Notation
Score: {{cp.lessonAssetIdToProgress[32985].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[32985].bestScoreQuestions}}  Take Quiz Optional
Lesson 4 - Changing Units in the Customary System of Measurement
Score: {{cp.lessonAssetIdToProgress[15025].bestScoreCorrect}}/{{cp.lessonAssetIdToProgress[15025].bestScoreQuestions}}  Take Quiz Optional

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Practice Tests in this course
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