Choose the convention
Use nonnegative remainders
for this Euclidean challenge.
Remainder Challenge
Six questions. One clear convention. Share the practice.
Build a six-question challenge
Questions-only challenge restored. Your attempts stay in this page.
Find integer q and r for each a so a = 5 × q + r, with 0 ≤ r < 5.
Edit a dividend or generate a new set. Keep the answer key separate.
| No. | Dividend a | Quotient q | Remainder r |
|---|
Check my answers privately
Your entries are excluded from the shared link, questions worksheet and image.
Make the most of your challenge
Keep answers separate
Share the questions first;
save the key for checking.
Check the identity
Verify a = b × q + r and
the allowed remainder range.
Questions, Answered.
Why does this challenge use nonnegative remainders?
One declared convention makes every answer checkable: a = b × q + r, with 0 ≤ r < |b|. A different programming-language remainder convention may give a different signed remainder.
Where is the separate answer key?
Use Download answer key PDF in the builder. The questions PDF, CSV, image and shared link omit answers and your private attempts.
Can I change the dividends or divisor?
Yes. Edit any dividend, change the nonzero divisor, or generate 1–12 new questions. Current downloads use the values shown in the builder.