Free interactive flashcards

Learn squares from 11 to 99

Build instant recall for every two-digit square. memStep introduces the numbers in manageable groups, asks you to type each answer, and brings difficult cards back until they stick.

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89 two-digit squares
2× correct to learn
Later spaced reviews

How memStep works

Small steps, active recall, lasting memory

Seeing an answer feels familiar; producing it builds recall. That is why every card asks you to type the number yourself.

01

Learn in order

Begin with a related group so each new fact has a clear place and pattern.

02

Recall it twice

Type the answer correctly twice before the card moves into learned status.

03

Review later

Learned cards return in shuffled review rounds so the memory remains flexible.

Complete reference

Squares from 11 to 99

Use the chart to check a value, then practise recalling it without looking.

11² 121
12² 144
13² 169
14² 196
15² 225
16² 256
17² 289
18² 324
19² 361
20² 400
21² 441
22² 484
23² 529
24² 576
25² 625
26² 676
27² 729
28² 784
29² 841
30² 900
31² 961
32² 1024
33² 1089
34² 1156
35² 1225
36² 1296
37² 1369
38² 1444
39² 1521
40² 1600
41² 1681
42² 1764
43² 1849
44² 1936
45² 2025
46² 2116
47² 2209
48² 2304
49² 2401
50² 2500
51² 2601
52² 2704
53² 2809
54² 2916
55² 3025
56² 3136
57² 3249
58² 3364
59² 3481
60² 3600
61² 3721
62² 3844
63² 3969
64² 4096
65² 4225
66² 4356
67² 4489
68² 4624
69² 4761
70² 4900
71² 5041
72² 5184
73² 5329
74² 5476
75² 5625
76² 5776
77² 5929
78² 6084
79² 6241
80² 6400
81² 6561
82² 6724
83² 6889
84² 7056
85² 7225
86² 7396
87² 7569
88² 7744
89² 7921
90² 8100
91² 8281
92² 8464
93² 8649
94² 8836
95² 9025
96² 9216
97² 9409
98² 9604
99² 9801

Understand, then remember

Patterns for calculating two-digit squares

These shortcuts make unfamiliar squares easier to reconstruct while you build automatic recall.

Multiples of 10 — Obvious.

For numbers like 10, 20, ..., 90: square the first digit and append two zeros.
(10n)2 = n2 × 100

Example

702 = 72 × 100 = 4900
902 = 92 × 100 = 8100

Ending in 5

For numbers like (10n + 5), multiply the first digit by the next and append 25.
(10n + 5)2 = 100n(n + 1) + 25

Example

252 = 2 × 3 = 6 → 625
652 = 6 × 7 = 42 → 4225

First ones

Works for numbers from 11 to 19.
(10 + n)2 = 100 + 20n + n2

Example

112 = 100 + 20 + 1 = 121
182 = 100 + 160 + 64 = 324

Around 50

Useful for numbers between 41 and 59.
(50 ± n)2 = 2500 ± 100n + n2

Example

472 = 2500 - 300 + 9 = 2209
532 = 2500 + 300 + 9 = 2809

90s

Works for numbers between 91 and 99.
(100 - n)2 = 10000 - 200n + n2

Example

912 = 10000 - 1800 + 81 = 8281
982 = 10000 - 400 + 4 = 9604

Mirror 25

A symmetry trick around 25.
(25 + x)2 = (25 - x)2 + 100x

Example

262 = 576 + 100 = 676
242 = 262 - 100 = 676 - 100 = 576

Nice Ones

Some squares are round, symmetrical, or simply easy to remember.

Example

382 = 1444
632 = 3969
882 = 7744
832 = 6889
222 = 484

Mirror 50

Uses symmetry around 50.
(50 + x)2 = (50 - x)2 + 200x

Example

632 = 372 + 2600 = 1369 + 2600 = 3969
392 = 612 - 2200 = 3721 - 2200 = 1521

Minus 50

Shift numbers down by 50 and adjust the square.
(x + 50)2 = x2 + 100x + 2500

Example

732 = 232 + 2300 + 2500 = 529 + 4800 = 5329
642 = 142 + 1400 + 2500 = 196 + 3900 = 4096

Powers of 2

Squares that are also powers of two.

Example

162 = 256 = 28
322 = 1024 = 210
642 = 4096 = 212

Even Numbers

Reduce the problem by halving the number.
n2 = 4 × (n / 2)2

Example

322 = 162 × 4 = 256 × 4 = 1024
362 = 182 × 4 = 324 × 4 = 1296

Questions

Frequently asked questions

What is the fastest way to learn squares from 11 to 99?

Learn a small, ordered group at a time, type every answer from memory, and revisit learned squares after a delay. Calculation patterns help when an answer is not yet automatic.

Do I need to memorize every square at once?

No. memStep breaks the deck into related groups and moves on only after each number has been recalled correctly twice.

Can I practise without creating a password?

Yes. Starting creates a private access link for your progress. You can optionally attach an email address for recovery.

Ready to make the answers stick?

Start with the first small group. Your progress is saved automatically as you learn.