Perfect Squares and Perfect Cubes Worksheet with Answer Key

What's on the worksheet

1. Write the whole number that makes each statement true.
2. Use each prime factorization to tell if the number is a perfect square, cube, both or neither.
   2^2 \times 7^22^3 \times 7^35^62^4 \times 3^33^2 \times 11^2
3. Sort numbers into perfect square only, cube only, both, and neither.
4. List perfect squares between 300 and 400 and perfect cubes between 100 and 1,000.
5. Word problem: count blue and clear panes in a square window.
6. Word problem: count painted faces on small cubes in a large cube dipped in paint.
7. Find the sum of odd numbers from 1 to 21 and show it with a growing square of dots.
8. Test Jack's claim about doubling the side of a square.