The Square Number Maze

Grade 8 · Games · Page 1 of 2

Name Date
DIRECTIONS: Step only on perfect squares (a whole-number square root). Go across or down.
The wrong ones are within 3 of a square. Know your squares to 22².
START42↓√25✗34√498380
1612363440255227
212170199287257√25
√25617214614739812
√40012232632798170
√36112219222182FINISH256
Done for you 42 = 16 ✓ → 16 = 4 × 4 ✓.  √25 = 5 ✗ not that way. Carry on from there.

The Square Number Maze — Questions

Grade 8 · Games · Page 2 of 2

Write the squares you stepped on, each with its root.
42 (4) → 16 (4) →
  1. Which was the largest square number on your route, and what is its root?
  2. Pick a square you could NOT step on. Name the two perfect squares it sits between.
  3. A right-angled triangle has short sides of 5 and 12. The square on the long side is 169. How long is it, and how did the maze help?