KhanAcademyExercises

Test your knowledge.

Practice identifying and interpreting particulate models of reactions in this set of free questions designed for AP Chemistry students.

Practice identifying outliers using the 1.5*IQR rule.

Practice calculating the test statistic in a one-sample t test for a mean

Practice determining what conclusions we can draw from a study based on it being an observational study or an experiment.

Practice using the Central limit theorem to determine when sampling distributions for differences in sample means are approximately normal.

Practice calculating the mean and standard deviation of sampling distributions for differences in sample means.

Practice using the large count condition to determine when sampling distributions for differences in sample proportions are approximately normal.

Practice calculating the mean and standard deviation of a binomial random variable.

Practice identifying which sampling method was used in statistical studies, and why it might make sense to use one sampling method over another.

Practice thinking about how influential points can impact a least-squares regression line and what makes a point “influential.”

Given figures composed of 2 triangles, complete or find the error in the proof that the triangles are congruent.

Translate between surface integrals of flux and triple integrals of divergence using the Divergence Theorem.

Given a surface, boundary curve, and 3D vector field, convert between surface integrals and line integrals using Stokes’ theorem. (Or is Stokes’ theorem not applicable in this case?)

Find a boundary curve to a surface and determine its orientation with respect to the orientation of the surface.

Given a closed path and a vector field, what is the integral representing the flux out of the region using the normal form of Green’s theorem?

Given a double integral, simplify it into a line integral using Green’s Theorem.

Given a region (or curve), is it simply connected (or simple, closed, and piecewise-smooth)? Yes, no, or there’s not enough information to tell.

Given a parameterized surface, find the surface area.

Given a surface in 3D, find the area element at a certain point.