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Mathematics Test for Praxis I: Pre-Professional Skills Test Study Guide (page 2)

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Updated on Jul 5, 2011

The PPST Mathematics test measures those mathematical skills and concepts that an educated adult might need. Many of the problems require the integration of multiple skills to achieve a solution. This test covers several types of questions, and several types of math. Before you start reviewing math concepts, you should familiarize yourself with the test.

Numbers and Operations

• Order: These questions require an understanding of order among integers, fractions, and decimals.
• Equivalence: These questions require an understanding that numbers can be represented in more than just one way.
• Numeration and place value: These questions require an understanding of how numbers are named, place value, and order of value.
• Number properties: These questions require an understanding of the properties of whole numbers.
• Operation properties: These questions require an understanding of the properties (commutative, associative, and distributive) of the basic operations (addition, subtraction, multiplication, and division).
• Computation: These questions require an ability to perform computations, change the result of a computation to fit the context of a problem, and recognize what is needed to solve a problem.
• Estimation: These questions require an ability to estimate and to determine the validity of an estimate.
• Ratio, proportion, and percent: These questions require an ability to solve problems dealing with ratio, proportion, and percent.
• Numerical reasoning: These questions require the ability to interpret statements that use logical connectives or quantifiers, use reasoning to determine whether an argument is valid or invalid, and identify a generalization or an assumption.

Algebra

• Equations and inequalities: These questions require an ability to solve simple equations and inequalities and to guess the result of changing aspects of a problem.
• Algorithmic thinking: These questions require an ability to understand an algorithmic view. In other words, you must follow procedure, understand different ways to solve a problem, identify or evaluate a procedure, and recognize patterns.
• Patterns: These questions require an ability to understand patterns in data, including variation.
• Algebraic representations: These questions require an ability to understand the relationship between verbal or symbolic expressions and graphical displays.
• Algebraic reasoning: These questions require the ability to interpret statements that use logical connectives or quantifiers, use reasoning to determine whether an argument is valid or invalid, and identify a generalization or an assumption.

Geometry and Measurement

• Geometric properties: These questions require an ability to use geometric properties and relationships in real-life applications.
• The xy-coordinate plane: These questions require you to use coordinate geometry to represent geometric concepts.
• Geometric reasoning: These questions require the ability to interpret statements that use logical connectives or quantifiers, use reasoning to determine whether an argument is valid or invalid, and identify a generalization or an assumption.
• Systems of measurement: These questions require an ability to demonstrate basic understanding of the U.S. customary and metric systems of measurement. You should be able to convert from one unit to another and recognize correct units for making measurements.
• Measurement: These questions require an ability to recognize the measurements needed to solve a problem. You must also be able to solve for area, volume, and length, including using formulas, estimation, and rates, and comparisons.

Data Analysis and Probability

• Data interpretation: These questions require an ability to read and interpret displays of information, including bar graphs, line graphs, pie charts, pictographs, tables, scatterplots, schedules, simple flowcharts, and diagrams. You must also have the ability to recognize relationships and understand statistics.
• Data representation: These questions require an understanding of the correspondence between data sets and their graphical displays.
• Trends and inferences: These questions require an ability to recognize, compare, contrast, and predict based on given information and an ability to make conclusions or inferences from given data.
• Measures of central tendency: These questions involve mean, median, mode, and range.
• Probability: These questions require an ability to evaluate numbers used to express simple probability and to figure the probability of a possible outcome.

Computer versus Paper

There are small differences between the Praxis I written and computer-based tests: