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The COMPASS Mathematics Tests are organized around five principal content domains:
numerical skills/prealgebra, algebra, college algebra, geometry, and trigonometry. To ensure
variety in the content and complexity of items within each domain, COMPASS includes
mathematics items of three general levels of cognitive complexity: basic skills, application, and
analysis. A basic skills item can be solved by performing a sequence of basic operations. An
application item involves applying sequences of basic operations to novel settings or in complex
ways. An analysis item requires students to demonstrate a conceptual understanding of the
principles and relationships relevant to particular mathematical operations. Items in each of the
content domains sample extensively from these three cognitive levels.
Students are permitted to use calculators on all current Windows® and Internet versions of
COMPASS Mathematics Tests. Calculators must, however, meet ACT's specifications,
which are the same for COMPASS and the ACT Assessment. These specifications are
updated periodically and can be found at ACT's website at
http://www.act.org/aap/taking/calculator.html
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Numerical Skills/Prealgebra Placement Test
Questions in the Numerical Skills/Prealgebra Placement Test range in content from basic
arithmetic concepts and skills to the knowledge and skills considered prerequisites for a first
algebra course. The Numerical Skills/Prealgebra Placement Test includes items from more than a
dozen content areas; however, a majority of the questions come from the following categories:
1. Operations with Integers
2. Operations with Fractions
3. Operations with Decimals
4. Positive Integer Exponents, Square Roots, and Scientific Notation
5. Ratios and Proportions
6. Percentages
7. Averages (Means, Medians, and Modes)