Perfect Square Number Chart

Print the perfect squares from 1 × 1 to 30 × 30 on one page.

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NumberSquareNumberSquareNumberSquare111112121441241214422484391316923529416141962457652515225256256361625626676749172892772986418324287849811936129841101002040030900A perfect square is a whole number times itself: 7 × 7 = 49.
Perfect square number chart, 1 to 30 One upright page on Letter or A4: each number from 1 to 30 beside its square, 1 to 900, in three pairs of columns and ten tall rows. The 30 squares are every perfect square from 1 to 900.
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How it works

This perfect square number chart lists each number from 1 to 30 beside its square, 1 to 900. Other sheets turn it round into square roots, run on to 100 squared and list the perfect cubes to 15.

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Print the chart

Press Print the chart. It prints on one page, on Letter or A4. The chart to 100 ends at 10,000, and a short one writes out 1 × 1 to 12 × 12, the diagonal of a times table.

Square roots and cubes

The square roots chart reads the other way: find 576, read 24. Three sheets cover cubes: 1 to 15 cubed with the multiplication written out, squares and cubes side by side, and cube roots.

Patterns in the squares

The gaps between squares are the odd numbers in order: 1, 4, 9 and 16 are 3, 5 and 7 apart. The square of a number that ends in 5 ends in 25: 225, 625, 1,225.

  • A perfect square numbers chart with the squares left out is in the fill-in group. The filled chart is its answer sheet.

Questions and answers

What are the perfect squares from 1 to 100?

There are ten: 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100. They are the squares of the numbers 1 to 10.

What is a perfect square?

A whole number you get by multiplying a whole number by itself. 49 is a perfect square because 7 × 7 = 49. 50 is not, because no whole number times itself makes 50.

Is 0 a perfect square?

Yes. 0 × 0 = 0, so 0 is the square of a whole number. This chart starts at 1 × 1.

How do you know if a number is a perfect square?

Its square root is a whole number. A quick first check is the last digit: a number that ends in 2, 3, 7 or 8 is never a perfect square.

What are the perfect cubes from 1 to 1,000?

There are ten: 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1,000, the cubes of 1 to 10. Of these, 1, 64 and 729 are also perfect squares.

All 10 sheets

Perfect squares 3

  • Perfect square number chart, 1 to 30 One upright page on Letter or A4: each number from 1 to 30 beside its square, 1 to 900, in three pairs of columns and ten tall rows. The 30 squares are every perfect square from 1 to 900.
  • Perfect squares chart, 1 to 100 Each number from 1 to 100 beside its square, in four pairs of columns with a heavier line after every fifth row. The last square is 10,000.
  • Perfect squares chart, 1 × 1 to 12 × 12 Twelve tall rows with the multiplication written out, 1 × 1 = 1 to 12 × 12 = 144. These are the answers on the diagonal of a 12 by 12 times table.

Square roots and a pattern 2

  • Perfect squares as sums of odd numbers, 1 to 100 The ten perfect squares up to 100, each written as the odd numbers added in order from 1: 16 = 1 + 3 + 5 + 7. The square of a number is the sum of that many odd numbers.
  • Square roots chart: the perfect squares to 900 The first chart turned round: find a perfect square from 1 to 900 on the left of a pair, read its square root on the right. √576 = 24.
Show all 10 sheets (5 more)

Perfect cubes and cube roots 3

  • Cube roots chart: the perfect cubes to 3,375 The first 15 perfect cubes, 1 to 3,375, each beside its cube root, in three pairs of columns and five tall rows. The cube root of 1,000 is 10.
  • Perfect cubes chart, 1 to 15 Each number from 1 to 15 with the multiplication written out and its cube: 5 × 5 × 5 = 125, up to 15 × 15 × 15 = 3,375.
  • Squares and cubes chart, 1 to 15 Three columns: the number, its square and its cube, 1 to 15. 64 is on the chart twice, as 8 squared and as 4 cubed, and so is 1.

Charts to fill in 2

  • Perfect squares chart to fill in, 1 to 30 A name line and the numbers 1 to 30 with an empty box beside each for its square. The chart of 1 to 30 is the answer sheet.
  • Square roots to fill in: 20 perfect squares in mixed order A name line and the perfect squares from 1 to 400 in mixed order, each with an empty box for its square root. The square roots chart is the answer sheet.

How this list was compiled: Own work. Every square, cube and root was computed and then read back a second, separate way on October 16, 2026. What a perfect square and a perfect cube are, the last digits a square can end in and the sum of odd numbers are from the Wikipedia articles Square number and Cube (algebra), read that day. Licence: own work

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