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Squares and cubes to 20

Need a squares and cubes within reach? Print it for the wall, then hand off to the practice sheets below.

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Squares and cubes — free printable reference chart

Reference chart

Squares and cubes to 20

The square and the cube of every number from 1 to 20
NumberSquaredNumberCubed
1111
2428
39327
416464
5255125
6366216
7497343
8648512
9819729
10100101,000
11121111,331
12144121,728
13169132,197
14196142,744
15225153,375
16256164,096
17289174,913
18324185,832
19361196,859
20400208,000
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What's on this chart

The factors chart says 36 is 1, 2, 3, 4, 6, 9, 12, 18, and 36. The prime chart says 36 is not prime. Neither says the thing a child checking a right triangle or simplifying a square root needs, which is that 36 is six sixes — and until squares are recognized on sight, every one of those questions starts with a multiplication that has nothing to do with what was being asked.

Why this chart helps

Recognizing them is what the chart is for, and the range is chosen for that. Squares to 400 cover every Pythagorean triple a child will meet, every perfect square inside a fraction worth simplifying, and the whole of the area work that comes with them. Cubes climb far faster — 2, 8, 27, 64 — and by 20 they are in the thousands, which is itself worth a child's attention.