Precalculus Quiz

15 questions · free · new questions every attempt · Updated September 26, 2026

Precalculus prepares students for calculus by strengthening trigonometry, functions and exponential and logarithmic thinking. This quiz focuses on quick fluency: converting between degrees and radians, recalling exact trig values, using SOH-CAH-TOA, and handling logs and sequences without a calculator.

What this quiz covers

• Converting between degrees and radians
• Exact values of sin, cos and tan for special angles
• Right-triangle trigonometric ratios
• Evaluating logarithms
• Terms of a geometric sequence
• Discriminants and vertices of parabolas

How to prepare

Memorise the unit circle values for 30°, 45° and 60° and derive the others by symmetry. To convert degrees to radians multiply by π/180. Sketch a right triangle for every ratio question and label opposite, adjacent and hypotenuse before you compute.

Sample questions with answers

These five questions show the style. Your quiz above will have different numbers each time.

1. Convert 120° to radians.
   Show answer

   2π/3. Multiply by π/180: 120 × π/180 = 2π/3.

2. Convert π/4 radians to degrees.
   Show answer

   45°. Multiply by 180/π: π/4 → 45°.

3. What is cos(30°)?
   Show answer

   √3/2. cos(30°) = √3/2 is one of the standard exact values.

4. In a right triangle the opposite side is 8, the adjacent side is 15 and the hypotenuse is 17. What is sin(θ)?
   Show answer

   8/17. sin = opposite ÷ hypotenuse (SOH).

5. Evaluate log₃(9).
   Show answer

   2. 3² = 9, so the logarithm is 2.

Frequently asked questions

Keep practising

Algebra 1 Quiz15 questionsGeometry Quiz15 questionsAlgebra 2 Quiz15 questions

Reviewed September 26, 2026 by the SolveCalcPro editorial team. Questions are generated from tested formulas. Spot a mistake? Tell us.