Proof worksheets
Proof worksheets give students in Discrete Mathematics focused practice in proof. This page has 1 free printable sets, grouped by grade, and every set includes a computed answer key that is never wrong. Print them or save as a PDF, no login needed.
What's inside
- Consider the claim P(n): 1 + 2 + ... + n = n(n + 1)/2, for all integers n ≥ 1 (the sum of the first n positive integers). Verify the base case n = 1: what value do the left side and the right side each take?
- For the claim P(n): 1 + 2 + ... + n = n(n + 1)/2: compute the left side for n = 6 by adding the terms directly, and confirm it matches the formula.
- In the inductive step for P(n): 1 + 2 + ... + n = n(n + 1)/2, we assume P(k) and add the next term k + 1 to reach n = k + 1. For k = 5: what is the value of the added term, and what is the new total?
- Consider the claim P(n): 1 + 3 + 5 + ... + (2n - 1) = n², for all integers n ≥ 1 (the sum of the first n odd numbers). Verify the base case n = 1: what value do the left side and the right side each take?
- For the claim P(n): 1 + 3 + 5 + ... + (2n - 1) = n²: compute the left side for n = 6 by adding the terms directly, and confirm it matches the formula.
- In the inductive step for P(n): 1 + 3 + 5 + ... + (2n - 1) = n², we assume P(k) and add the next term (2(k + 1) - 1) to reach n = k + 1. For k = 7: what is the value of the added term, and what is the new total?
Sample questions. Each set (A, B, C…) has fresh numbers and a computed answer key.
Discrete Mathematics Proof
Frequently asked questions
Are these proof worksheets free?
Yes. Every worksheet on ChalkBee is free to view and print or save as a PDF, with no login required, and the answer key is free too. Pro removes the watermark and adds differentiated sets, worksheet packs and unlimited custom generation.
Do the worksheets have answer keys?
Yes, free, on every sheet. The answers are computed in code from the exact questions on the page, and the key prints on a page of its own so the student sheet stays clean.
What grades do proof worksheets cover?
Proof worksheets on this page cover Discrete Mathematics. There are 1 printable sets in total, grouped by grade so you can pick the right level.
How do I print or download them?
Open any set, then use your browser's print option to print it or to save it as a PDF. The pages are laid out to print cleanly on standard letter or A4 paper.