What is the High School Math II Inequality Proof Quiz?
This is a free web quiz for practicing original inequality proof questions in a 4-choice format.
The app is designed for high school students around Grade 11 to Grade 12 who want to review proof strategies such as making a difference, factoring into a square, using positivity, and checking equality conditions.
Original questions, not copied from textbooks or exams
All questions, options, explanations, diagrams, and wording in this quiz are independently created for this app.
The questions are based on general mathematical facts and standard proof methods, but they do not reproduce textbook examples, workbook exercises, entrance exam questions, mock tests, official PDFs, class handouts, or publisher materials.
Course lineup
- 10-question basics: nonnegative squares
- 20-question difference transformations
- 20-question factoring and identities
- 20-question AM-GM and positive numbers
- 20-question reciprocals and fractions
- 20-question absolute values and squares
- 20-question Cauchy-type identities
- 30-question quadratic and discriminant proofs
- 50-question conditional inequality proofs
- 100-question comprehensive proof practice
Dynamic hints with original diagrams
Hints change depending on the question. The app shows original SVG diagrams for square transformations, positive fractions, AM-GM, Cauchy-type identities, quadratic completion, and equality conditions.
My Page stores challenge history, best records, and often missed questions, making repeated review easier.
What students can practice here
This quiz focuses on the small decisions that make inequality proofs easier: which side to subtract, where to make a square, when to use a positive denominator, and how to read the equality condition.
Because each question is short and 4-choice, it works well for warm-up practice before class, review after homework, or quick preparation before a regular school test.
For teachers and families
The app is built so that students can try many original proof patterns without needing to copy long solutions. A teacher can use it as a quick check of proof strategy, and families can use it to see which proof types need more review.
The quiz does not replace writing a full proof on paper. Instead, it helps students choose the correct first move, understand the reason behind a transformation, and then practice writing the proof in their own words.
Unofficial notice
This site is not an official website of any ministry, testing organization, school, university, publisher, cram school, or examination body. It is not authorized, certified, supervised, or affiliated with such organizations.
The questions, options, explanations, diagrams, and text materials are independently created. If you believe there is a rights issue, please contact us through the form below.
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