Applied Math
What the WorkKeys Applied Math Test Measures
There are five levels of difficulty. Level 3 is the least complex, and Level 7 is the most complex. The levels build on each other, each incorporating the skills assessed at the previous levels. For example, at Level 5, individuals need the skills from Levels 3, 4, and 5.
Level
Characteristics of Items
Skills
3
- Translate easily from a word problem to a math equation
- All needed information is presented in logical order
- No extra information
- Solve problems that require a single type of mathematics operation using whole numbers
- Add or subtract negative numbers
- Change numbers from one form to another using whole numbers, fractions, decimals, or percentages
- Convert simple money and time units
4
- Information may be presented out of order
- May include extra, unnecessary information
- May include a simple chart, diagram, or graph
- Solve problems that require one or two operations
- Multiply negative numbers
- Calculate averages, simple ratios, simple proportions, or rates using whole numbers and decimals
- Add commonly known fractions, decimals, or percentages
- Add up to three fractions that share a common denominator
- Multiply a mixed number by a whole number or decimal
- Put the information in the right order before performing calculations
5
- Problems require several steps of logic and calculation
- Decide what information, calculations, or unit conversions to use to solve the problem
- Look up a formula and perform single-step conversions within or between systems of measurement
- Calculate using mixed units
- Divide negative numbers
- Find the best deal using one- and two-step calculations and then compare resultss
- Calculate perimeters and areas of basic shapes
- Calculate percent discounts or markups
6
- May require considerable translation from verbal form to mathematical expression
- Generally require considerable setup and involve multiple-step calculations
- Use fractions, negative numbers, ratios, percentages, or mixed numbers
- Rearrange a formula before solving a problem
- Use two formulas to change from one unit to another within the same systems of measurement
- Use two formulas to change from one unit in one system of measurement to a unit in another system of measurement
- Find mistakes in questions that belong at Levels 3, 4, and 5
- Find the best deal and use the result for another calculation
- Find areas of basic shapes when it may be necessary to rearrange the formula, convert units of measurement in the calculations, or use the result in further calculations
- Find the volume or rectangular solids
- Calculate multiple rates
7
- Content or format may be unusual
- Information may be incomplete or implicit
- Problems often involve multiple steps of logic and calculation
- Solve problems that include nonlinear functions and/or that involve more than one unknown
- Find mistakes in Level 6 questions
- Convert between systems of measurement that involve fractions, mixed numbers, decimals, and/or percentages
- Calculate multiple areas and volumes of spheres, cylinders, or cones
- Set up and manipulate complex ratios or proportions
- Find the best deal when there are several choices
- Apply basic statistical concepts
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All Recruitment Sustainment Program (RSP) soldiers, Reserve Officers’ Training Corps (ROTC) candidates, all currently serving Army National Guard and all currently serving Airmen are eligible for FREE testing.
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