Best Maths Tricks for SSC to Solve Questions 5 Times Faster
SSC stands for STAFF SELECTION COMMISSION. This body conducts Exams at different levels and for various qualification aspirants. Every year lacs of students apply for SSC for a government job. For every SSC exam, Quantitative Aptitude is an important topic. If the candidates do not use the short tricks, they will not be able to solve the maths questions in time and it will be very difficult to crack the exam.
So, we are sharing the best maths tricks for SSC to solve questions 5 times faster which will be very useful for every SSC exam. First, let us know about the type of exam.
Table of Content |
How Many Types of Examination in SSC
- Combined Graduate Level Examination (CGL)
- Combined Higher Secondary Level (10+2) Examination (CHSL)
- Multitasking (Non-Technical) Staff Examination (MTS)
- Sub-Inspector in Delhi Police and Central Armed Police Forces Examination (CPO)
- Stenographer Grade ‘C’ & ‘D’ Examination
- General Duty Examination (SSC GD)
Candidates can take the help of Physics Wallah Classes for the preparation of all the above-mentioned exams. It is India's most trusted learning platform. Here students are helped in every way by keeping them in the priority.
Best Maths Tricks for SSC Exams
Square Root Trick
For this, candidates must remember this table. (Hoping you are aware of squares up to 25).
Unit Digit of Question | Unit Digit of Answer |
1 | 1 or 9 |
4 | 2 or 8 |
5 | 5 |
6 | 4 or 6 |
9 | 3 or 7 |
For Example
Q. 1 9801
Here, the unit digit is 1 so the answer’s unit digit should be 1 or 9.
Now candidate needs to find out the nearby square root of 98.
Since it is between 81 & 100 and the square roots of these are 9 & 10.
You always choose the lower number in this case it is 9.
Now you have two answers either 91 or 99.
In the last step, you will find which number is nearest to 98.
81 or 100?
The answer is 100 (the higher one)
So, your final answer is 99 (the higher one).
Note: If the unit digit of a question is 2,3,7,8 then it will never be a perfect square root.
Perfect Square Trick
For this trick candidates must aware of squares up to 25.
Trick-
You always need to find out the non-perfect square even if the question asked about the perfect square & then you will eliminate these options. (Because there is no fixed Rule to find out the perfect square)
Rule 1. If the unit digit of a question is 2,3,7,8 then it will be a non-perfect square.
Rule 2. If the last 2 digits are not the same as the last 2 digits of the square from 1 to 24, it will be a non-perfect square.
Rule 3. If the digit sum of that number is 2,3,5,6,8, then it will be a non-perfect square.
Rule 4. If the unit digit is 6 and is preceded by an even number, then it will be a non-perfect square.
Note 1. Apply these Rule sequences to find out a non-perfect square.
Note 2. Always remember, if a number follows any one of these Rules, it is 100% sure that number will be a non-perfect square.
Note 3. Very rarely it will happen that you will be able to eliminate only 2 options, in this case, no trick will work. You have to solve by division method only.
Q1. Find the perfect square.
- 298116
- 211682
- 389129
- 570536
Solution.
Option (2) will be eliminated first because it has 2 in its unit digit place (Refer to Rule 1).
Option (1) (3) & (4) are not following Rule 1 & 2 because in these options the last 2 digits are 16, 29 & 36 & it also appears in the square of 4, 23 & 6 (Refer to Rule 2).
but that doesn’t mean that they will be perfect squares so, you will try other Rules to find out a non-perfect square.
Apply Rule 3 on option (1)
Digit Sum for 298116 = 2+9+8+1+1+6 = 27 then 2+7 = 9 (This is digit sum) Since it is 9 so it is not following a Rule 3 so it may be a perfect square.
Apply Rule 3 on option (3)
389129 = 32 then 3+2 = 5 (it is a non-perfect square as per Rule 3)
Apply Rule 3 on option (4)
570536 = 26 then 2+6 = 8 (it is also a non-perfect square as per Rule 3)
We have got 3 options here which are non-perfect squares so remaining option (b) will be our answer.
Square Trick
- For 2 Digit Numbers
Example: (36)2
Solution
Step-1 Multiply all digits including power
362 = 36
Step-2 write down the main number square like in two digits.
32 = 09
62 = 36
0 9 3 6 (Step-2) + 3 6 (Step-1) |
Add this in fix position
1296 (This is the answer)
Note: The number from step 1 is always to be added to step 2 except in the first place.
For Example (87)2
6 4 4 9 (Step-2) + 1 1 2 (Step-1) |
Answer = 7569
- For 3 Digit Numbers
This short trick can also be used to find a square of a two-digit number.
Example: (216)2
Solution.
First of all, you find out the nearest number to the given number whose unit digit is zero. But If you get any multiple numbers of 50 then it will be more beneficial.
In this case, you may choose 220 but will not, here you will take 200.
So, this number (200) is 16 less than 216.
Now write like this
(216-16)(216+16) | 162
200232 | 256
Rule 1. We will try to remove these zeros that come on the left side, for this, we will divide here with 100. If we have one zero on the left side so will divide with by 10 and so on.
Rule 2. When we divide 100 on the left side then the right side should have only two 2 digits and remain will be added as carry to the left side. If we divide with 10, then the right side should be 1 digit and the remaining will be carried forward to the left side.
Rule 3. If we have only one digit on the right side then we will add zero before this.
Rule 4. Now multiple left side numbers add carry from the right side (If not ignore) and right down right side digits normally.
200232 | 256 (200232)/100 | 256 (2 will go to left side) 2232 | 256 464 | 256 (464+2) | 56 46656 (This is the answer) |
Cube Trick
For this trick candidates must aware of cubes up to 10.
Example: (45)3
Step-1
Write in this form
43 | 425 | 452 | 53 = 64 | 80 | 100 | 125
Step-2
Double the two middle numbers and add to the original numbers
64 | (80+160) | (100+200) | 125 = 64 | 240 | 300 | 125
Step-3
Now from the right side take the first digit of each number and keep adding the remaining digits to the second number in the form of carry.
Take 5 in unit place and forward 12 to the 2nd number. 64 240 (300+12) 5 64 240 312 5 (Take 2 out & forward 31 as carry) 64 (240+31) 25 64 271 25 (Take 1 out & forward 27 as carry) (64+27) 125 91125 (Answer) |
Cube Root Trick
For this trick candidates must aware of cubes up to 10.
Also, Remember this table.
Unit Digit of Question | Unit Digit of Answer |
1 | 1 |
4 | 4 |
5 | 5 |
6 | 6 |
9 | 9 |
2 | 8 |
8 | 2 |
3 | 7 |
7 | 3 |
Step-1. From the above table right down the unit digit of cube root.
Step-2. Forget the unit, ten and hundred digits of that number and find the cube root of the number which is nearest to but smaller than the remaining number.
Example: 3493039
Solution:
Unit digit will be 9. (From the table)
Forget about 039, Consider 493 only
The number which is lower than 493 and has a cube root is = 343
And, its cube root is 7.
So, final answer will be 79.
Try this method, you will be able to get the answer in just a few seconds.
Conclusion
These tricks are very important for Quantitative Aptitude (QA) of all exams. For exams like SSC, it is very important to score good marks in Mathematics and for this these tricks will help a lot. Candidates can use these tricks to solve QA questions quickly.
Frequently Asked Questions (FAQs)
Q1. How can I score good in SSC maths?
Ans. To score well in maths, the most you need is practice. Use short tricks to solve math problems. Focus more on tough topics like: Algebra, Trigonometry, Percentage
Q2. How can I increase my speed in SSC math?
Ans. You can use these methods to increase the speed:
- Use Short Tricks
- Avoid Simplification Mistakes
- Practice Option Elimination
- Practice as much as you can
- Analyze Previous Year’s Papers
- Revise Formulas Daily
Q3. Is SSC easy to crack?
Ans. Yes, SSC is an easy exam, but only if you follow a right strategy and stick to your daily schedule. There are many candidates who have cleared this exam in 1 year preparation.