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0013 Concepts and Principles of Numbers and Operations
0014 Concepts and Procedures of Measurement
0015 Geometry and Related Problems
0016 Probability and Statistics
0017 Concepts and Principles of Algebra
0018 Mathematical Reasoning, Problem-Solving, and Communication Skills
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Mathematics Competencies Tested on the ILTS

The math test covers five major skill areas defined by several descriptive statements. Descriptive statements describe in greater detail the types of knowledge and skills covered in each skill area. An outline showing the major skill areas and each descriptive statement is shown below.

0014 Solve Problems Involving Integers, Fractions, Decimals, and Units of Measurement

  • Solve Problems Involving Integers, Fractions, and Decimals, Including Percentages

  • Solve Problems Involving Ratios and Proportions

  • Solve Problems Involving Units of Measurement, Including US Customary and Metric Measurements, and Conversions, including Scientific Notation (eg, 605 X 108)

  • Use Estimation Skills to Solve Problems

0015 Apply Mathematical Reasoning Skills to Analyze Patterns and Solve Problems

  • Draw Conclusions Using Inductive Reasoning

  • Draw Conclusions Using Deductive Reasoning

  • Identify Errors in Mathematical Explanations

0016 Solve Problems Involving Algebra and Geometry

  • Graph Numbers or Number Relationships

  • Find the Value of the Unknown in a Given One-Variable Equation

  • Express One Variable in Terms of a Second Variable in Two-Variable Equations

  • Solve Problems Involving Lines and Angles

  • Solve Problems Involving Two- and Three-Dimensional Geometric Figures (eg, Perimeter and Area Problems, Volume and Surface Area Problems)

0017 Understand Concepts and Procedures Related to Data Analysis and Statistics

  • Interpret Information from Tables, Line Graphs, Bar Graphs, Histograms, Pictographs, and Pie Charts (Percentiles see below)

  • Recognize Appropriate Representations of Various Data in Graphic Form (Discrete and Continuous)

  • Demonstrate an Understanding of Fundamental Statistical Concepts (eg, Mean, Correlation, Standard Deviation)

  • Interpret Graphic and Nongraphic Representations of Frequency Distributions, Percentiles, Central Tendency, Variability, and Correlation

  • Demonstrate knowledge of basic concepts of probability using a variety of representations (e.g., word problems, Venn diagrams, tree diagrams).

0018 Solve Applied Problems Using a Combination of Mathematical Skills (Including Word Problems Involving One and Two Variables)

  • Apply Combinations of Mathematical Skills to Solve a Series of Related Problems

  • Identify an Equation to Solve Word Problems Involving One and Two Variables

  • Apply Number Concepts and Geometric Principles to Solve Practical Problems

  • Apply Statistical Principles to Analyze Patterns and Trends in Data