SSC CGL Math, particularly Algebra, is a difficult yet scoring section for many aspirants. The real challenge is to solve the concepts quickly in a timed exam, even though they are not hard to understand. How, then, do top scorers get through algebra so quickly? The answer lies in formula modifications, visual patterns, and ingenious shortcuts. Let’s look at some tactics that could completely change how you study for the SSC CGL Math test.
Why You Need Algebra Shortcuts for SSC CGL Math?
First, understand that algebra in SSC CGL is not about lengthy derivations and complex proofs. It entails applying well-known identities rapidly and spotting patterns immediately. When working on a paper that asks you to answer 100 questions in 60 minutes, these shortcuts can save you a lot of time.
1. Know Your Identities and Use Them Smartly
The following three identities are frequently found in SSC CGL Math Algebra questions:
- (a+b)2=a2+2ab+b2
- (a−b)2=a2−2ab+b2
- a2−b2=(a+b)(a−b)
Quick Tip: If the question seems to be a2 + b2, make sure they have given (a + b)2 or (a – b)2. You can skip the direct squaring if the sum or difference is already known.
2. Consider factorization when you see a3+b3/a+b
Instead of expanding cubes, use: a3+b3=(a+b)(a2−ab+b2)
Quick Tip: Eliminate the common term (a + b) from the denominator whenever it occurs. Saves 30 seconds with ease.
3. Enter Values to Remove Variables
This is one of the most underutilized hacks in SSC CGL Math Algebra.
Example:
If the question is:
If a+b=5 and ab= 6, find a2+b2
You can use : a2+b2=(a+b)2−2ab=25−12=13
However, simply assume values if the question gets more complex. Try a = 2, b = 3, or the other way around. In MCQs that are elimination-based, this is effective 80% of the time.
4. In Equations, Spot Symmetry
If the expression is like: a2+b2/ab
When they say a + b or ab, you can almost always simplify by plugging in simple values or using known identities. Try a = b = 1 or 2, for example, to observe patterns that appear.
5. Utilize Complementary Methods for Cubing and Squaring
If the question involves: (a+b)3or (a−b)3
Just memorize: (a+b)3=a3+b3+3ab(a+b)
Thus, when you see a3 + b3 and ab(a + b) given, do not manually expand. Replace and address directly. SSC CGL Math Tiers 1 and 2 commonly contain these.
Summary –
| Trick | Shortcut |
|---|---|
| Identities | Apply directly, avoid expansion |
| Factorization | Recognize patterns and cancel terms |
| Variable Substitution | Try values like a = 1, b = 2 |
| Symmetry | Look for a = b type clues |
| Cubic/Square Expansions | Use formula, don’t derive |
Final Thoughts!
Regardless of whether you are preparing for Tier 1 or Tier 2, you must become proficient in algebra in SSC CGL Math. However, it isn’t about solving problems like a mathematician. It entails spotting patterns, applying identities immediately, and then moving on to the next question.
Use NetPractice to Improve Your SSC CGL Math Proficiency!
It’s great to practice tricks, but it’s even better to test them in an exam-like setting. Use the NetPractice app to practice algebra problems, review your answers, and get immediate, helpful feedback. Not more practice, but more intelligent practice.
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