SSC CGL Maths Chapter 2: Squares and Cube Roots: If you’re preparing for the SSC CGL exam, then mastering Squares and Cube Roots is a must! Not only do these questions appear frequently, but with the right tricks, you can solve them in seconds. This blog post will break down the concepts, formulas, shortcut tricks, and give you fun examples to make learning super easy and enjoyable.
🔍 What You’ll Learn in Chapter 2:
Square and Cube Basics
Square Roots and Cube Roots
Shortcut Tricks to Save Time
Common Patterns in SSC Exams
Practice Questions with Answers
🧠 Key Concepts:
✅ What is a Square?
A square is when a number is multiplied by itself.
📌 Example:
72=7×7=497^2 = 7 \times 7 = 49
✅ What is a Square Root?
The number which, when multiplied by itself, gives the original number.
📌 Example:
49=7\sqrt{49} = 7
✅ What is a Cube?
A number multiplied by itself three times.
📌 Example:
33=3×3×3=273^3 = 3 \times 3 \times 3 = 27
✅ What is a Cube Root?
A number which, when multiplied three times, gives the original number.
📌 Example:
273=3\sqrt[3]{27} = 3
⚡ Shortcut Tricks for Fast Calculation:
🎯 Trick 1: Square End Digits
If a number ends in 2, 3, 7, or 8, it can never be a perfect square.
🎯 Trick 2: Cube Root by Ending Digit
Just memorize cube numbers up to 20 — you’ll easily identify cube roots by their last digit.
📌 Example: 13313=11\sqrt[3]{1331} = 11 (because 11³ = 1331)
🎯 Trick 3: Algebraic Identity for Speed
Use the identity:
(a+b)2=a2+2ab+b2(a + b)^2 = a^2 + 2ab + b^2
Great for calculating squares of two-digit numbers!
🎓 Must-Memorize Squares (1–25)
🎓 Must-Memorize Cubes (1–15)
💡 Fun Examples:
Q1. What is the square of 14?
🟢 Answer: 142=19614^2 = 196
Q2. Find the cube root of 512.
🟢 Answer: 5123=8\sqrt[3]{512} = 8
Q3. Which of the following is a perfect square?
A) 50 B) 64 C) 82 D) 91
🟢 Answer: B) 64
📝 SSC CGL Practice Tips:
Revise squares and cubes daily.
Use flashcards or memory games to remember 1–25 squares and 1–15 cubes.
Attempt 100+ MCQs regularly with a timer to improve speed.
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