Squares, Cubes, Square Roots and Powers Table: 1 to 30 Squares and 1 to 15 Cubes for SSC Maths

Almost every SSC maths chapter (simplification, number series, algebra, mensuration) needs squares, cubes and roots quickly. If you know them, you save 10 to 20 seconds in many questions. This squares, cubes and roots table for SSC gives the squares up to 30, the cubes up to 15, the powers of 2, 3 and 5, the common square roots and the shortcut for squares of numbers ending in 5.

Squares from 1 to 30

Cubes from 1 to 15

Powers of 2, 3 and 5

Common Square Roots

Shortcut: Square of a Number Ending in 5

For a number n5, the square is n × (n + 1) followed by 25.

Solved Examples

Example 1. Find √784.
28 × 28 = 784, so the root is 28.

Example 2. Find √1296.
36² = 1296, so the root is 36.

Example 3. Find the cube root of 2197.
13³ = 2197, so the cube root is 13.

Example 4. Find the square of 75.
7 × 8 = 56 and then 25, so 5625.

Tip to Find a Square Root

• The last digit of a square can only be 0, 1, 4, 5, 6 or 9.
• If the number ends in 4, the root ends in 2 or 8. If it ends in 6, the root ends in 4 or 6. If it ends in 1, the root ends in 1 or 9. If it ends in 9, the root ends in 3 or 7.
• Find the two squares between which the number lies, for example 784 lies between 27² and 29².

Quick Tips

• Learn the squares up to 30 by heart.
• Learn the cubes up to 15.
• Use the n(n + 1) | 25 shortcut for numbers ending in 5.
• Check the last digit to find a square root quickly.

Quick Revision Points

• The last digit of a perfect square is 0, 1, 4, 5, 6 or 9.
• 25² = 625 and 15³ = 3375.
• 2^10 = 1024.
• √2 = 1.414 and √3 = 1.732.
• n5 squared = n(n + 1) followed by 25.

Practice Questions With Answers

1. Find 17².
   Answer: 289
2. Find 23².
   Answer: 529
3. Find √961.
   Answer: 31
4. Find 14³.
   Answer: 2744
5. Find the cube root of 3375.
   Answer: 15
6. Find 65².
   Answer: 4225
7. Find 2^9.
   Answer: 512
8. What is the approximate value of √2?
   Answer: 1.414
9. Find √1764.
   Answer: 42
10. Find 25³.
    Answer: 15625

How to Practise This Chapter

Write each formula on a card, with a solved example on the back, and revise the cards every day. Then test yourself with our practice papers and the previous year papers page. See all guides on the Formula Guide page, and also read the Mathematics notes and Quantitative Aptitude notes. The previous guide is Data Interpretation and the next guide is SI Units and Physical Quantities.

Frequently Asked Questions

What is the square of 25?

625.

What is the cube of 12?

1728.

What is the square root of 144?

12.

What is the cube root of 2197?

13.

How do I find the square of a number ending in 5?

Multiply the first part by the next number and write 25 at the end.

What is the value of √3?

About 1.732.

What is 2 to the power 10?

1024.

Which digits can be the last digit of a square?

0, 1, 4, 5, 6 and 9.

How far should I learn the squares?

Up to 30 is the best for SSC exams.

Is this asked in SSC exams?

The values are used in almost every maths question.

How can I learn the table fast?

Revise 10 values daily and write them from memory.

What is 35 squared?

1225.