The Learning Liaisons: GK Math Practice Questions

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It shouldn’t be hard to find great practice material for the FTCE General Knowledge Mathematics Subtest. We understand the pain of learning math, especially if you’ve struggled with math for a long time.

After helping 6000 teachers pass the FTCE GK Math test, we know we can help you pass too. Use this FTCE GK Math video channel to access over 300 test-aligned practice questions and video solutions. With this question bank, you can clear up the confusion and gain the knowledge, skill, and attitude needed to pass on your next attempt!

Use these practice problems in 3 easy steps:
1. Pick a competency and skill
2. Open and pause the video so you can try the problem out
3. Press “play” when you’re ready and learn how it’s done!

Avoid the confusion of practicing with the wrong test preparation material and pass the FTCE GK Math test by signing up today.

FTCE GK Math Competencies and Skills Blueprint:

Competency 1—Knowledge of number sense, concepts, and operations
1. Compare real numbers and identify their location on a number line.
2. Solve real-world problems involving the four operations with rational numbers.
3. Evaluate expressions involving order of operations.

Competency 2—Knowledge of geometry and measurement
1. Identify and classify simple two- and three-dimensional figures according to their mathematical properties.
2. Solve problems involving ratio and proportion (e.g., scaled drawings, models, real-world scenarios).
3. Determine an appropriate measurement unit and form (e.g., scientific notation) for real-world problems involving length, area, volume, or mass.
4. Solve real-world measurement problems including fundamental units (e.g., length, mass, time), derived units (e.g., miles per hour, dollars per gallon), and unit conversions.

Competency 3—Knowledge of algebraic thinking and the coordinate plane
1. Determine whether two algebraic expressions are equivalent by applying properties of operations or equality.
2. Identify an algebraic expression, equation, or inequality that models a real-world situation.
3. Solve equations and inequalities (e.g., linear, quadratic) graphically or algebraically.
4. Determine and solve equations or inequalities, graphically or algebraically, in real-world problems.
5. Graph and interpret a linear equation in real-world problems (e.g., use data to plot points, explain slope and y-intercept, determine additional solutions).
6. Identify relations that satisfy the definition of a function.
7. Compare the slopes of two linear functions represented algebraically and graphically.

Competency 4—Knowledge of probability, statistics, and data interpretation
1. Analyze data presented in various forms (e.g., histograms, bar graphs, circle graphs, pictographs, line plots, tables) to solve problems.
2. Analyze and evaluate how the presentation of data can lead to different or inappropriate interpretations in the context of a real-world situation.
3. Calculate range, mean, median, and mode of data sets.
4. Interpret the meaning of measures of central tendency (i.e., mean, median, mode) and dispersion (i.e., range, standard deviation) in the context of a real-world situation.
5. Analyze and evaluate how the selection of statistics (e.g., mean, median, mode) can lead to different or inappropriate interpretations in the context of a real-world situation.
6. Solve and interpret real-world problems involving probability using counting procedures, tables, and tree diagrams.
7. Infer and analyze conclusions from sample surveys, experiments, and observational studies.

  • Update 10 4.7 Inferences for Surveys, Observations, and Experiments

    14 videos

  • Update 9 - 4.1 Various Forms of Data

    10 videos

  • Update 8: Skill 1.2 (Quantitative Reasoning)

    10 videos

    Skill 1.2 on the FTCE General Knowledge Math Test:
    Quantitative Reasoning

    This week's update includes word problems that stump most people. However, you can use these problems and solutions to learn the right way to solve these problems.

    1. Open the video
    2. Pause it, and time yourself ...

  • Update 7: July 2nd

    10 videos

    Check out our next addition of problems on comparing slopes! You'll learn how to compare lines shown on the graph and also described with equations and points!

    Remember to pause the video to give yourself a bigger learning opportunity!

  • June 25th, 2019
    10 videos

    June 25th, 2019

    10 videos

    Check out this week's update on Standard Deviation! You won't have any worries once you know the tricks behind crushing these problems!

  • June 20th, 2019
    11 videos

    June 20th, 2019

    11 videos

    Watch this week's update on simplifying rational expressions!
    Also, be sure to check out our new GK Math Practice Test #1 so you can see what areas you need to work on without having to take the test for real!
    https://thelearningliaisons.com/course?courseid=gk-math-test-1

  • June 12th, 2019

    8 videos

  • May 30th, 2019
    15 videos

    May 30th, 2019

    15 videos

    Hammer down equations and inequalities GK Math practice so you can continue on the path toward acing your test!

  • May 23rd, 2019
    15 videos

    May 23rd, 2019

    15 videos

    Tackle the GK Math Skill you'll see on the test and learn a few secrets to getting a certain problem right all the time!

  • May 11th, 2019
    10 videos

    May 11th, 2019

    10 videos

    Competency 2 Skill 3: Measurement
    Questions: 10

    Questions in this update include:
    - Estimation
    - Area
    - Surface Area
    - Volume
    - Conversions

  • Competency 1.1 – Order Numbers

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    1. Compare real numbers and identify their location on a number line.

    If you would li...

  • Competency 1.2 – Fraction & Percent Word Problems

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    2. Solve real-world problems involving the four operations with rational numbers.

    If...

  • Competency 1.3 – Evaluate Expressions

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    3. Evaluate expressions involving order of operations.

    If you would like more in-dept...

  • Competency 2.1 – Shapes

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    1. Identify and classify simple two- and three-dimensional figures according to their ma...

  • Competency 2.2 – Ratios & Proportions

    26 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    2. Solve problems involving ratio and proportion (e.g., scaled drawings, models, real-wo...

  • Competency 2.3 – Measurement

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    3. Determine an appropriate measurement unit and form (e.g., scientific notation) for re...

  • Competency 2.4 – Rates

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    4. Solve real-world measurement problems including fundamental units (e.g., length, mass...

  • Competency 3.1 – Equivalent Expressions

    17 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    1. Determine whether two algebraic expressions are equivalent by applying properties of ...

  • Competency 3.2 – Building Equations, Expressions, & Inequalities Word Problems

    3 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    2. Identify an algebraic expression, equation, or inequality that models a real-world si...

  • Competency 3.3 – Solve Equations & Inequalities

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    3. Solve equations and inequalities (e.g., linear, quadratic) graphically or algebraical...

  • Competency 3.4 – Solve Equations & Inequalities Word Problems

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    4. Determine and solve equations or inequalities, graphically or algebraically, in real-...

  • Competency 3.5 – Graph and Interpret Linear Equations

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    5. Graph and interpret a linear equation in real-world problems (e.g., use data to plot ...

  • Competency 3.6 – Functions

    4 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    6. Identify relations that satisfy the definition of a function.

    If you would like mo...

  • Competency 3.7 – Comparing Slopes

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    7. Compare the slopes of two linear functions represented algebraically and graphically....

  • Competency 4.1 – Various Forms of Data Word Problems

    3 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    1. Analyze data presented in various forms (e.g., histograms, bar graphs, circle graphs,...

  • Competency 4.2 – Evaluate Presentation of Data Word Problems

    3 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    2. Analyze and evaluate how the presentation of data can lead to different or inappropri...

  • Competency 4.3 – Mean, Median, and Mode

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    3. Calculate range, mean, median, and mode of data sets.

    If you would like more in-de...

  • Competency 4.4 – Interpret Measures of Central Tendency Word Problems

    10 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    4. Interpret the meaning of measures of central tendency (i.e., mean, median, mode) and ...

  • Competency 4.5 – Analyze Selections of Measures of Central Tendency

    3 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    5. Analyze and evaluate how the selection of statistics (e.g., mean, median, mode) can l...

  • Competency 4.6 – Probability & Counting

    16 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    6. Solve and interpret real-world problems involving probability using counting procedur...

  • Competency 4.7 – Making Inferences from Surveys, Experiments, & Observations

    3 videos

    This playlist provides practice questions and video solutions that test the skills needed for this competency/skill.

    Per the Florida Department of Education, this competency covers the following skills:

    7. Infer and analyze conclusions from sample surveys, experiments, and observational stu...