Understanding rotation of arbitrary points

Understand how we can derive a formula for the rotation of any point around the origin.

Understanding spectra

Color is a property of light. Test your understanding of this concept and how light can be represented in with a spectral power distribution.

Using colons and semicolons

Identify whether to use colons or semicolons in sentences!

Using Le Chatelier's principle

Practice using Le Chatelier's principle to predict what happens to a reaction when a stress is applied

Skill check: Using limits

Check your understanding of limits in the contexts of continuity, asymptotes, and the squeeze theorem

Using optical traps to manipulate single DNA strands


Using ultrasounds to measure blood flow velocity

Questions related to ultrasound and blood flow velocity

Ancient Greek catapults and medical packs

This passage will test your knowledge on vectors and scalars

Volume of cones

Practice applying the volume formulas for cones.

Volume of spheres

Practice applying the volume formulas for spheres.

Weighted average intuition

First let's make sure you are comfortable with this construction.

Weighted averages

Calculate what weighting used in a weighted average of two points.

Weighted subdivision

Understanding what happens in subdivision with different weights

Weighted average of three points

Now it's your turn to prove you can calculate the weighted average. Later on we can let the computer do these calculations for us (phew!)

Where did agriculture come from?

Test your knowledge of early agriculture!

Rollercoasters are energy at work!

This passage will test your knowledge on work and energy

Work and energy questions

Questions pertaining to work and energy

Writing equilibrium constant expressions

Practice writing equilibrium constant expressions when given a balanced equation

Write fractions as whole numbers

Represent fractions as whole numbers and whole numbers as fractions.

Your heart does work: A relationship of pressure and volume

Questions related to PV diagrams
