What is the Mathematical Induction Quiz?
The Mathematical Induction Quiz is a free 4-choice web app for practicing proof by induction at a high-school level.
Original questions focus on the structure of induction: checking the first case, assuming P(k), building P(k+1), and avoiding common proof mistakes.
Practice from basics to advanced proof patterns
Courses cover base steps, induction hypotheses, sum formulas, inequalities, divisibility, recursive sequences, strong induction, proof blanks, and proof error checks.
Hints change dynamically for each question and include original SVG diagrams such as domino-style induction, sum-step blocks, divisibility decompositions, inequality chains, and sequence arrows.
Course lineup
- 10-question induction basics
- 20-question sums and formulas
- 20-question square and cube sums
- 20-question inequalities
- 20-question divisibility
- 20-question sequences and recurrences
- 20-question strong induction
- 30-question proof blanks
- 50-question proof error checks
- 100-question comprehensive challenge
Unofficial original learning app
This app is designed as an unofficial study tool. It does not reproduce textbook, workbook, entrance exam, mock exam, or official material. Questions, choices, explanations, diagrams, and text are independently created.
What learners can practice here
The app separates the proof into small decisions: what to check first, what to assume as P(k), what P(k+1) should look like, and how to use the induction hypothesis.
Visual hints support common patterns such as adding the next term in a sum, splitting a divisibility expression into known multiples, comparing inequalities, and substituting a recurrence relation.
Useful for class review and short home study
Each round is short enough for quick review. Students can use it before writing full proofs, and teachers or parents can use the records to see which proof steps need more practice.
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