Answer key: Pythagorean theorem (Grade 5)
Companion answer key for the printable worksheet "Pythagorean theorem (Grade 5)" — Common Core CCSS.MATH.5.OA.A.1, Medium difficulty. Use it to spot-check during the lesson or grade afterward.
Sample answers
| # | Question type | Sample answer |
|---|---|---|
| 1 | 33 + 34 | 67 |
| 2 | 46 + 48 | 94 |
| 3 | 14 + 7 | 21 |
| 4 | 26 + 3 | 29 |
| 5 | 4 + 42 | 46 |
| 6 | 9 + 29 | 38 |
| 7 | 32 + 33 | 65 |
| 8 | 47 + 17 | 64 |
How to grade this worksheet
This answer key is intentionally short — eight items or fewer — so you can spot-check during the lesson rather than waiting until the end. For Math worksheets at the medium level, we recommend the following grading flow.
- Pencil-only spot check. Walk by every five minutes and circle (lightly) any item that looks off. Do not announce the score.
- Self-grade. When the student finishes, hand them this answer key and let them grade their own work in pen. Self-grading produces about 30% better retention than parent-grading at this age.
- Two-question debrief. Pick the two items they missed and ask: "Walk me through what you tried." Their explanation usually reveals whether it was a careless error or a genuine concept gap.
- Log the score. Note the score, the date, and the standard code (
CCSS.MATH.5.OA.A.1) in your portfolio. Three data points across a month is enough to know if the standard is mastered.
If the student misses more than half of the items, do not reteach the same way. Switch modalities — manipulatives, a drawn diagram, a verbal walk-through — and revisit a fresh worksheet on the same standard the next morning.