Exponents and radicals
Perfect squares and cubes worksheets
Create 18 questions on squares, cubes, square roots or cube roots. Set a base or root magnitude range from 1 to 20 and choose powers, roots or both.
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Square roots chart from 1 to 2500
Print a square roots chart showing the 50 perfect squares from 1² to 50² and their principal roots. Choose Letter or A4 and a printed language.
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Print the reference handout
Find a perfect square and read its principal square root. Use the chart to check familiar squares and spot square factors inside larger radicands.
Download all 50 perfect-square equalities in one reference. This chart has no separate answer key.
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Reference handoutA4
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A reference to use alongside practice
The chart pairs the perfect squares from 1 through 2500 with their principal roots, 1 through 50. Cover one side to recall a fact, or use the full chart when extracting a square factor.
Its content is fixed. You can choose the paper size, printed language and a short page note without creating a different set of facts.
Learning objective
What this activity builds
Recognize perfect squares and connect each nonnegative square root with its squared value.
Worked example
What is the principal square root of 1764?
42.
42 × 42 = 1764. The square-root symbol names the nonnegative root; solving x² = 1764 would instead give both −42 and 42.
Teaching notes
Make the practice count
- Cover one side of an equality and recall the missing value.
- Locate the nearest two perfect squares to estimate a root.
- Use familiar square factors when simplifying a nonperfect root.
- Keep square-root evaluation separate from solving a squared-variable equation.
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A useful next step
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