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Table of squares of numbers from 1 to 100

The square of a number is that number raised to the second power, that is, multiplied by itself: n² = n × n. For example, 7² = 7 × 7 = 49. The table of squares helps you quickly find the result of squaring and solve problems in algebra, geometry, and physics.

What do you need?

📊 Complete table of squares from 1 to 100 — Complete table of squares from 1 to 100 — on this page
📥 Download table as PNG — Download table as PNG — for printing
🔢 Multiplication table — Multiplication table — basic table
📈 Extended multiplication table up to 20
📚 How to learn the multiplication table quickly

About this reference

Values are calculated using the formula n² = n × n and verified with modern computational libraries.
The table is compiled according to the standard methodology of teaching mathematics in secondary school.
The material was prepared by a mathematics teacher and is intended for schoolchildren, students, and teachers.

Download the table of squares

📥 Download the table of squares in PNG

The file is suitable for printing on A4 paper and using as a cheat sheet during lessons and exams.

Table of squares of numbers from 1 to 100

Each block contains 10 consecutive numbers and their squares. The values of numbers are highlighted in red, the exponent in green, the result in blue.

1^{2} = 1

2^{2} = 4

3^{2} = 9

4^{2} = 16

5^{2} = 25

6^{2} = 36

7^{2} = 49

8^{2} = 64

9^{2} = 81

10^{2} = 100

11^{2} = 121

12^{2} = 144

13^{2} = 169

14^{2} = 196

15^{2} = 225

16^{2} = 256

17^{2} = 289

18^{2} = 324

19^{2} = 361

20^{2} = 400

21^{2} = 441

22^{2} = 484

23^{2} = 529

24^{2} = 576

25^{2} = 625

26^{2} = 676

27^{2} = 729

28^{2} = 784

29^{2} = 841

30^{2} = 900

31^{2} = 961

32^{2} = 1 024

33^{2} = 1 089

34^{2} = 1 156

35^{2} = 1 225

36^{2} = 1 296

37^{2} = 1 369

38^{2} = 1 444

39^{2} = 1 521

40^{2} = 1 600

41^{2} = 1 681

42^{2} = 1 764

43^{2} = 1 849

44^{2} = 1 936

45^{2} = 2 025

46^{2} = 2 116

47^{2} = 2 209

48^{2} = 2 304

49^{2} = 2 401

50^{2} = 2 500

51^{2} = 2 601

52^{2} = 2 704

53^{2} = 2 809

54^{2} = 2 916

55^{2} = 3 025

56^{2} = 3 136

57^{2} = 3 249

58^{2} = 3 364

59^{2} = 3 481

60^{2} = 3 600

61^{2} = 3 721

62^{2} = 3 844

63^{2} = 3 969

64^{2} = 4 096

65^{2} = 4 225

66^{2} = 4 356

67^{2} = 4 489

68^{2} = 4 624

69^{2} = 4 761

70^{2} = 4 900

71^{2} = 5 041

72^{2} = 5 184

73^{2} = 5 329

74^{2} = 5 476

75^{2} = 5 625

76^{2} = 5 776

77^{2} = 5 929

78^{2} = 6 084

79^{2} = 6 241

80^{2} = 6 400

81^{2} = 6 561

82^{2} = 6 724

83^{2} = 6 889

84^{2} = 7 056

85^{2} = 7 225

86^{2} = 7 396

87^{2} = 7 569

88^{2} = 7 744

89^{2} = 7 921

90^{2} = 8 100

91^{2} = 8 281

92^{2} = 8 464

93^{2} = 8 649

94^{2} = 8 836

95^{2} = 9 025

96^{2} = 9 216

97^{2} = 9 409

98^{2} = 9 604

99^{2} = 9 801

100^{2} = 10 000

How to read the table: find a number in any block — its square is shown next to it. For example, 12² = 144, 25² = 625, 99² = 9801.

Examples of using the table of squares

Example 1. Find 16²

Find the number 16 in the table — its square is 256.

Answer: 16² = 256.

Example 2. Find 43²

In the table we see: 43² = 1849.

Answer: 43² = 1849.

Example 3. Find 87²

In the table: 87² = 7569.

Answer: 87² = 7569.

Why the table of squares is needed

It allows you to quickly find the squares of numbers without a calculator.
It is used to solve equations, problems on area, and the Pythagorean theorem.
It helps when working with square roots: using the table, you can find which number squared equals a given value.
It saves time on exams and tests.
It trains memory and develops mental arithmetic skills.

Key patterns of squares

A square cannot be negative: any number squared is ≥ 0.
Squares of numbers ending in 5 always end in 25: 15² = 225, 25² = 625, 35² = 1225.
Square of a sum: (a + b)² = a² + 2ab + b².
Square of a difference: (a − b)² = a² − 2ab + b².
Difference of squares: a² − b² = (a − b)(a + b).

How to memorize the table of squares

Rely on "anchor" values: 10² = 100, 20² = 400, 30² = 900, 50² = 2500, 100² = 10000.
Use the square of a sum formula: 12² = (10 + 2)² = 100 + 40 + 4 = 144.
Practice regularly for 10–15 minutes a day using the online multiplication trainer.

📚 See also:

• Multiplication table from 1 to 10
• Extended multiplication table up to 20
• How to learn the multiplication table quickly
• Table of powers
• Bradis table
• Online trainer "Multiplication table"

Frequently asked questions

What is a table of squares?

A table of squares is a reference table in which for each number from 1 to 100 its square is shown, that is, the result of multiplying the number by itself. For example, 7² = 49.

How do you use the table of squares?

Find the required number in the table — its square is shown next to it. If you need to find a number by its square, move in the reverse order: for example, if the square is 144, the number is 12.

Why is the table of squares needed at school?

The table of squares is used for fast calculation, solving equations, problems on area and the Pythagorean theorem, and when working with square roots. It helps save time on exams.

How can I memorize squares of numbers quickly?

Rely on anchor values (10² = 100, 20² = 400, 30² = 900, 50² = 2500) and use the square of a sum formula: 12² = (10 + 2)² = 100 + 40 + 4 = 144. Practice regularly for 10–15 minutes a day.

Where can I download the table of squares for printing?

You can download the table of squares in PNG format via the links in the "Download the table of squares" section. The files are suitable for printing on A4.

Compiled by: Alexey Pavlov, mathematics teacher.
Source: standard school mathematics curriculum, classic tables of squares.
Last updated: 11.10.2026.

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