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Square & Cubes: Reference Chart

Introduction

This reference page brings together essential Squares and Cubes in a clear, structured, and interactive format. It helps students build strong number sense by quickly recalling squares and cubes—an essential skill for mental math, algebra, and speed-based math worksheets across the site.

Compact Squares and Cubes Memory Table

This compact table lists squares from 1 to 30 and cubes from 1 to 10 in a concise layout. It is designed for quick memorization and revision, covering the most frequently used square and cube values that students encounter in school math and mental calculation worksheets.

Quick Reference - Squares (1 to 30) and Cubes (1 to 10)

Squares
Cubes
12=1
112=121
212=441
13=1
22=4
122=144
222=484
23=8
32=9
132=169
232=529
33=27
42=16
142=196
242=576
43=64
52=25
152=225
252=625
53=125
62=36
162=256
262=676
63=216
72=49
172=289
272=729
73=343
82=64
182=324
282=784
83=512
92=81
192=361
292=841
93=729
102=100
202=400
302=900
103=1k

Interactive Squares and Cubes Table (1 to 50)

This interactive table displays numbers from 1 to 50, arranged in 5 columns and 10 rows. Students can control what they see using radio buttons:

  • Squares – shows only square values
  • Cubes – shows only cube values
  • Both – shows squares and cubes together for each number

This flexibility helps learners focus on one concept at a time or compare squares and cubes side by side.

Squares - 1 to 50

Squares - 1 to 50
12=1
112=121
212=441
312=961
412=1681
22=4
122=144
222=484
322=1024
422=1764
32=9
132=169
232=529
332=1089
432=1849
42=16
142=196
242=576
342=1156
442=1936
52=25
152=225
252=625
352=1225
452=2025
62=36
162=256
262=676
362=1296
462=2116
72=49
172=289
272=729
372=1369
472=2209
82=64
182=324
282=784
382=1444
482=2304
92=81
192=361
292=841
392=1521
492=2401
102=100
202=400
302=900
402=1600
502=2500

Interactive Squares and Cubes Table (51 to 100)

This table extends the same interactive experience to numbers from 51 to 100, again arranged in 5 columns and 10 rows.

Using the same radio button options—Squares, Cubes, or Both—students can progressively build familiarity with higher values, which is especially useful for advanced practice and competitive exam preparation.

Squares - 51 to 100

Squares - 51 to 100
512=2601
612=3721
712=5041
812=6561
912=8281
522=2704
622=3844
722=5184
822=6724
922=8464
532=2809
632=3969
732=5329
832=6889
932=8649
542=2916
642=4096
742=5476
842=7056
942=8836
552=3025
652=4225
752=5625
852=7225
952=9025
562=3136
662=4356
762=5776
862=7396
962=9216
572=3249
672=4489
772=5929
872=7569
972=9409
582=3364
682=4624
782=6084
882=7744
982=9604
592=3481
692=4761
792=6241
892=7921
992=9801
602=3600
702=4900
802=6400
902=8100
1002=10k

Our Complete Resources on Squares and Cubes

Quick Maths Worksheets

  1. Practice Finding Squares 51²-59², 151²-159², 251²-259²: Practice finding squares of numbers like 51²–59², 151²–159², 251²–259², and beyond. Apply the mental maths trick online with 100 interactive problems!

  2. Practice Finding Squares Using (a + b)²: Practice drill on 3-step trick for finding the squares of numbers up to 300 based on the classic algebraic identity (a + b)² = a² + 2ab + b²

  3. Practice Finding Squares Using (a + d)(a - d) + d²: Practice squaring numbers up to 200 using (a + d)(a − d) + d². Solve 150 problems mentally from left to right. Linked blog explains the trick visually.

High School Maths Worksheets

  1. Squares and Cubes as Tables: Memorize the squares (up to 30) and cubes (up to 10) and test yourself with this tabular form maths worksheet. It has options like reversed and shuffled

  2. Square or Cube the Numbers and Add Them Together: This worksheet engages you more by mixing the squares and cubes with simple maths addition. You can choose up to 5 rows of this combination

  3. Quick Additions and Subtractions with Squares and Cubes: This worksheet takes you to the next level with the mix of the squares and cubes with maths addition and subtraction.

Quick Maths Tricks on Finding Squares

  1. Finding Squares 51²-59², 151²-159², 251²-259²: Learn an easy mental maths trick to find squares of numbers like 51² to 59², 151² to 159², 251² to 259², and more. Includes an interactive flowchart

  2. Finding Squares of Numbers Ending in 5: Master the superfast maths trick for the squares of numbers ending in 5. Detailed blog with examples & practice worksheets. Level up your mental maths skills!

  3. Finding Squares Using (a + d)(a - d) + d²: Learn the another maths trick for finding the squares of numbers based on the algebraic identity (a + d)(a - d) + d². This is a left-to-right approach.

  4. Finding Squares Using (a + b)²: Discover a lightning-fast 3-step maths trick for finding the squares of numbers up to 300 based on the classic algebraic identity (a + b)² = a² + 2ab + b²