HiSET Practice Tests

Practice Tests

Topics

• Numbers and Operations on Numbers

  • Properties of operations with real numbers

    • Rational numbers

    • Irrational numbers

  • Rewriting expressions

    • Radicals

    • Rational exponents and the properties of exponents

  • Solve problems using scientific notation

    • Addition and subtraction

    • Multiplication and division

  • Using reasoning to solve problems

    • Quantitative reasoning

    • Units

  • Measurement limitations

    • Precision

  • Multi-step real-world and mathematical problems

    • Proportional relationships

• Measurement and Geometry

  • Congruence and similarity criteria for triangles

    • Solve problems

    • Prove relationships in geometric figures

  • Properties of polygons and circles

    • Angle measure, central angles, and inscribed angles

    • Perimeter and circumference

    • Arc length and area of a sector

    • Area

  • Understand right triangles

    • Apply the Pythagorean Theorem

    • Special triangles

  • Understand transformations in the plane

    • Reflections

    • Translations

    • Rotations

    • Dilations

  • Equations of circles

    • Circumference

    • Area

  • Properties of lines

    • Midpoint of line segments

  • Problems involving right triangle trigonometry

    • Sine

    • Cosine

    • Tangent

  • Use volume formulas to solve problems

    • Cylinders

    • Pyramids

    • Cones

    • Spheres

  • Apply concepts of density in modeling situations

    • Area

    • Volume

• Data Analysis, Probability, and Statistics

  • Summarize and interpret data presented verbally, tabularly, and graphically

    • Make predictions and solve problems based on data

    • Recognize possible associations and trends in data

    • Identify lines of best fit

  • Find probabilities

    • Single events

    • Compound events

    • Approximate the probability of a chance event

    • Probability models and how to find the probabilities of events

  • Use measures of center to draw inferences about populations

    • Summarizing numerical data sets

    • Calculation of measures of center

  • Use statistics and data to gain information about a population

    • Generalizing information about a population from a sample of the population

• Algebraic Concepts

  • Interpret parts of an expression

    • Terms

    • Coefficients

  • Perform arithmetic operations

    • Polynomials

    • Rational expressions

  • Understand and apply concepts of expressions

    • Factor a quadratic expression to reveal the zeros of the function it defines

  • Understand and apply concepts of equations

    • Solve equations and inequalities in one variable

    • Linear equations

    • Quadratic equations

    • Rational and radical equations

    • Rearrange formulas/equations to highlight a quantity of interest

  • Functions and function notation

    • Evaluate functions for inputs in their domains

    • Interpret statements that use function notation in terms of a context

    • Write a function that describes a relationship between two quantities

    • Domain and range of a function

    • Functional relationship between two quantities

  • Zeroes of polynomials

    • Identification

    • Use the zeros to construct a rough graph of a function

  • Rate of change of a function

    • Calculate and interpret rate of change over a specified interval

    • Estimate rate of change from a graph

• Mathematical Process Categories

  • Understand Mathematical Concepts and Procedures

    • Identify examples and counterexamples of concepts

  • Analyze and Interpret Information

    • Make inferences or predictions based on data or information

  • Synthesize Data and Solve Problems

    • Reason quantitatively

    • Evaluate the reasonableness of solutions

• Language Arts: Reading

  • Literary Texts

    • Comprehension

      • Analyzing individual words and phrases

      • Meaning of words and phrases

      • Understanding paraphrase and re-statements of information

    • Inference and Interpretation

      • Applying information to the text

      • Drawing conclusions

      • Inferences about characters or subjects

      • Interpreting nonliteral language

      • Making inferences

    • Analysis

      • Author or Speaker's Point of View

      • Distinguishing between facts, observations, assumptions, and conclusions

      • Literary and argumentative techniques

      • Main idea, Topic, and Theme

      • Recognizing features of style, structure, tone, and mood

    • Synthesis and Generalization

      • Drawing conclusions and making generalizations

      • Making predictions

  • Informational Texts

    • Analysis

      • Main idea, Topic, and Theme

      • Author or Speaker's Point of View

      • Distinguishing between facts, observations, assumptions, and conclusions

      • Recognizing features of style, structure, tone, and mood

      • Literary and argumentative techniques

    • Comprehension

      • Understanding paraphrase and re-statements of information

      • Meaning of words and phrases

      • Analyzing individual words and phrases

    • Inference and Interpretation

      • Making inferences

      • Drawing conclusions

      • Inferences about characters or subjects

      • Interpreting nonliteral language

    • Synthesis and Generalization

      • Drawing conclusions and making generalizations

      • Comparing and Contrasting

• Organization of Ideas

  • Choosing effective opening, transitional, and closing sentences

  • Evaluating relevance

  • Analyzing Paragraph Structure

• Language Facility

  • Recognizing subordination and coordination, parallelism, and modifier placement

  • Effective sentence combination

  • Idiomatic Usage

  • Maintaining consistency in Style and Tone

  • Analyzing nuance in word meaning and denotation

• Writing Conventions

  • Verb, pronoun, and modifier forms

  • Grammatical Agreement

  • Recognizing fragments and run-on sentences

  • Capitalization, punctuation, and spelling