Institutions can select the skills to be included in the studentsâ€™ assessment. Students are only tested on selected skills. Quantiative Foundations consists of one or more questions to assess each skill and instructional web pages to teach and review each skill.

- Calculate a number raised to an integer power
- Calculate a
^{0} - Calculate a number raised to a rational number power
- Apply standard order of operations
- Calculate factorial of a whole number
- Calculate |a| of a number
- Understand summation notation
- Understand scientific notation on a calculator
- Understand f(x) notation
- Understand g(f(x)) notation
- Understand case-defined function

- Different ways of writing multiplication
- Different ways of writing division
- Apply distributive property
- Apply associate property
- Solve a linear equation (numerical answer)
- Solve a linear equation (answer is expression)
- Combine terms in an expression (add or multiply)
- Simplify an expression involving division
- Apply a/(b/c) = (ac)/b
- Apply a/sqrt(b) = (a)sqrt(b)/b
- Express a simple word problem as a linear equation
- Express a word problem involving rates as a linear equation
- Solve two simultaneous linear equations (numerical answer)
- Multiply two polynomial expressions
- Solve two simultaneous nonlinear equations
- Interpret inequality expression
- Solve a linear inequality with only positive coefficients
- Solve a linear inequality with negative coefficients
- Apply commutative property
- Recognize if there is no solution to two simultaneous linear equations

- Recognize whether a function is linear
- Determine the sign of a linear function's slope
- Determine the linear function through 2 points
- Identify a plot of a polynomial equation
- Identify a plot of a exponential equation
- Distinguish between positive and negative exponents in a plot of an exponential equation
- Plot a point on a graph (Cartesian coordinates)

- Solve for n in x
^{n}= b, where n is an integer - Calculate x in x
^{n}= b, where n is an integer - Apply log(a
^{x}) = x log a - Apply log(ab) = log(a) + log(b)
- Apply log(a/b) = log(a) - log(b)
- Apply (a
^{x})(a^{y}) = a^{(x+y)} - Apply (a
^{x})/(a^{y}) = a^{(x-y)} - Apply x
^{(-a)}= 1/(x^{a}) - Know that e is a number between 2 and 3
- Express a word problem as an exponential equation
- Calculate common log of a number that is a power of 10
- Apply log base b of a = log a / log b

- Recognize a derivative as the slope of a tangent line to a curve
- Identify regions of a function where derivative is negative, positive, or zero
- Recognize different notations for the derivative
- Calculate the value of a derivative at a specific value
- Identify regions of a function where its second derivative is negative, positive, and zero
- Define inflection point
- Define convex and concave
- Calculate a partial derivative
- Recognize different notations for the partial derivative
- Apply the product rule
- Apply the quotient rule
- Calculate the derivative of ln(x)
- Calculate the derivative of e to the x power
- Apply the chain rule
- Solve a rate problem
- Solve a min/max problem