The Mathematics Test consists of two parts: Part I examines a test-taker’s ability to solve problems with complex calculations in realistic settings. The Casio fx-260 scientific calculator is provided to aid with calculations for this part of the test. The calculator is not provided for Part II, which examines a test-taker’s ability to solve problems using estimation, mental math, and paper and pencil.

Cognitive Levels and Content Areas

Both parts of the Mathematics Test contain 25 items that are drawn from the following content areas and skills:

• Representing and using numbers in a variety of equivalent forms (integer, fraction, decimal, percent, exponential, and scientific) in real world and mathematical problem situations
• Using number sense for whole numbers, fractions, decimals, integers, and rational numbers
• Analyzing, explaining, and applying ratios, proportions, and percents in a wide variety of situations
• Using order relations for whole numbers, fractions, decimals, integers, and rational numbers
• Selecting the appropriate operation to represent problem situations
• Relating the basic arithmetic operations to one another
• Computing with whole numbers, fractions, decimals, and integers (with a calculator, with no restrictions, and mentally or with pencil and paper with certain restrictions)
• Using, analyzing, and explaining procedures for making estimates with whole numbers, fractions, decimals, percents, and square roots
• Using estimation to solve problems and to assess the reasonableness of the answer

• Modeling and solving problems using the concepts of perpendicularity, parallelism, congruence, and similarity of geometric figures
• Using spatial visualization to describe and analyze geometric figures
• Using the Pythagorean Theorem and similarity to model and solve problems
• Finding, using, and interpreting the slope of a line, the y-intercept of a line, and the intersection of two lines
• Using coordinates to design and describe geometric figures or translations/rotations of geometric figures
• Identifying and selecting appropriate units of metric and customary measures
• Converting and estimating units of metric and customary measure
• Solving and estimating solutions to problems involving length, perimeter, area, surface area, volume, angle measurement, capacity, weight, and mass
• Using uniform rates in problem situations
• Reading and interpreting scales, meters, and gauges
• Predicting the impact of changes in linear dimension on the perimeter, area, and volume of figures

• Constructing, interpreting, and drawing inferences from tables, charts, and graphs
• Making inferences and convincing arguments that are based on data analysis
• Evaluating arguments that are based on data analysis, including distinguishing between correlation and causation
• Representing data graphically in ways that make sense and are appropriate to the context
• Applying measures of central tendency (mean, medium, mode) and analyzing the effect of changes in data on these measures
• Using an informal line of best fit to predict from data
• Applying and recognizing the role of sampling and the impact of bias on statistical claims
• Making predictions that are based on experimental or theoretical probabilities, including listing possible outcomes
• Using and interpreting a frequency distribution of outcomes
• Comparing and contrasting different sets of data on the basis of measures of central tendency and dispersion

• Analyzing and representing situations involving variable quantities with tables, graphs, verbal descriptions, and equations
• Recognizing that a variety of problem situations may be modeled by the same function or type of function
• Converting between different representations, such as tables, graphs, verbal descriptions, and equations
• Creating and using algebraic expressions and equations to model situations and solve problems
• Evaluating formulas and functions
• Solving equations and systems of linear equations
• Recognizing and using direct and indirect variation
• Analyzing tables and graphs to identify and generalize patterns and relationships
• Analyzing and using functional relationships to explain how a change in one quantity results in change in the other quantity, including linear, quadratic, and exponential functions

Test items also examine a test-taker’s capabilities at the following cognitive levels:

• Selecting and applying appropriate procedures correctly
• Verifying and justifying the correctness of a procedure using concrete models or symbolic methods
• Extending or modifying procedures to deal with factors inherent in problem settings
• Using numerical algorithms
• Reading and producing graphs and tables
• Executing geometric constructions
• Rounding numbers appropriately, including rounding up/down to represent a whole number answer as appropriate in a problem situation
• Ordering lists of numbers

• Recognizing concepts
• Labeling concepts
• Generating examples and/or counter examples of concepts
• Interrelating models, diagrams, and representatives of concepts
• Identifying and applying principles
• Knowing and applying facts and definitions
• Comparing, contrasting, and integrating related concepts and principles
• Recognizing, interpreting, and applying signs, symbols, and terms
• Interpreting assumptions and relations

• Recognizing and formulating problems
• Determining the sufficiency and consistency of data
• Using strategies, data, models, and relevant math
• Generating, extending, and modifying procedures
• Judging the reasonableness and correctness of solutions

Math Web Links

Algebra.Help (http://algebrahelp.com) This site has lots of lessons and worksheets. Lessons are listed under Algebra Basics, Basic Word Problems, and Proportion Basics. The lessons are long and detailed. Worksheets have answer spaces for each problem. At the end of each worksheet, click Check Worksheet to find the correct answers.

Department of Core Mathematics at Free-Ed.Net (http://www.free-ed.net/catalog/deptmain.asp?newColl=7&newDept=1) The Office of Arithmetic & Pre-Algebra on this site contains 14 useful lessons. The Office of Algebra and the Office of Geometry both have useful introductory lessons.

Funbrain (http://funbrain.com/) This site is aimed at children, but it has useful mathematical games. Click Numbers to get started. The Shape Surveyor Geometry Game gives a good review of area and perimeter in your choice of easy, medium, hard, or "super brain" levels. Click Start Digging to get the questions. Click Check It! to get answers.

Mathematics (http://math.about.com) This site has many banners but lots of useful information. The glossary is well done. You can have answers to worksheets e-mailed to you if you supply your address.

Mrs. Glosser’s Math Goodies (http://mathgoodies.com) This site has banners advertising airfares, but it also has useful lessons on statistics, pre-algebra, probability, percent, circumference and area of circles, and perimeter and area of polygons.

Quia Mathematics (http://quia.com/dir/math/) This site offers matching games, flashcards, and lists of terms. In the directory select All Activities and By Title to get a complete list of the 48 topics.

Regents Exam Prep Center (http://regentsprep.org/Regents/math/math-a.cfm) Some of the material on this site is too advanced for GED preparation, but much is useful. The site includes lessons (L), practice (P), and teacher resources (T). Look for familiar topics under Numbers & Numeration, Operations, Modeling/Multiple Representation, and Measurement.