NCERT Science & Mathematics Kit Use Videos In Gujarati

NCERT માન્ય ગણિત - વિજ્ઞાન કીટ સાધન પરિચય - ૧

NCERT માન્ય ગણિત - વિજ્ઞાન કીટ સાધન પરિચય - ૨

NCERT માન્ય ગણિત - વિજ્ઞાન કીટ સાધન પરિચય - ૩

                          

     NCERT Approved Maths Kit

     NCERT Approved Science Kit Part 1

     NCERT Approved Science Kit Part 2

How to Improve Mathematics?? Is there any solution??

Here is the solution...
Easy Tips to Improve Mathematics:

Play math games: Math games are good tools for honing your math skills and are designed to let you have fun while doing it. Some recommended online math games (that are in line with the new Common Core standards) include.

Make math part of your life: Incorporate math equations into your daily routine to help keep your skills sharp and to help you recognize the many ways that math exists all around you

Learn about the big picture: It’s easy to become frustrated with math when all you’re doing is memorizing a formula that, at base, means nothing to you. But if you work to truly understand the principles behind the formula, your understanding of math can become deeper and more productive.

Create good study habits: Your study habits have a huge influence on your success in math. And it’s not just about the quantity of study time, it’s about the quality.

Read purposefully: When sitting down to read a math section in the textbook, read strategically

Master one concept before moving on to the next: In math, each topic builds upon the next, so, much like reading, it’s difficult if not impossible to make forward progress if you haven’t mastered all of the necessary steps.

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Get Speed in Maths of Competitive Exam By Short Tricks...

Trick-1..

Trick of number 9

Take the nine digits in order and remove the 8: 12345679.
Then multiply by 9:
12345679*9 = 111111111

now tries multiplication by the multiples of 9:

12345679*18 = 222222222
12345679*27 = 333333333
12345679*36 = 444444444
12345679*45 = 555555555
12345679*54 = 666666666
12345679*63 = 777777777
12345679*72 = 888888888 

12345679*81 = 999999999

Trick-2..

Trick for Calculate Reminder On Dividing The Number By 27 And 37

Consider number 34568276, we have to calculate the reminder on dividing this number by 27 and 37 respectively.
make triplets as written below starting from units place
34.........568..........276
now sum of all triplets = 34+568+276 = 878
divide it by 27 we get reminder as 14
divide it by 37 we get reminder as 27 

For Example,

other examples for the clarification of the rule
let the number is 2387850765
triplets are 2...387...850...765
sum of the triplets = 2+387+850+765 = 2004
on revising the steps we get
2......004
sum = 6
divide it by 27 we get reminder as 6
divide it by 37 we get reminder as 6

Trick-3..

Trick for Calculate Reminder On Dividing The Number By 3

Method: - first calculate the digit sum, then divide it by 3, the reminder in this case will be the required reminder

For example: - 1342568
let the number is as written above
its digit sum = 29 = 11 = 2
so reminder will be 2 

For Example,

34259677858
digit sum of the number is 64 = 10 = 1
reminder is 1

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Short Mathematics Tricks

Squaring

In this simple trick we need to modify the equation and make the units digit zero. After all it is easy to multiply when units digit is zero.

For example - Find square of 43

= (43+3) × (43-3) + (3×3)
=(46×40) + 9
= (460×4) + 9
= 1840 + 9 = 1849

Multiplication with 5

Simply multiply the number by 10 and then divide it by 2.

For example 99×5= 990/2= 495

Multiplication with 99

Multiply the number with 100 and then minus same number from the result. Let's take an example
Multiply 32×99 = 3200 - 32 = 3168

Square root

Best method to find square root of large numbers is by dividing the number into parts. Let's take an example
Find square √ 1936
√ 1936 = √ 4 × √ 484 = √ 4 × √ 4 × √ 121 = 2×2×11 = 44

Time and Work

Every question in in time and work chapter can be solved easily by finding efficiency of workers or subject (such as pipes).

For example - A takes 10 days to complete a job. B takes 20 days to complete the same job. In how many days they will complete the job if they work together ?
A's efficiency = 100/10 = 10% per day
B's efficiency = 100/20 = 5% per days
A and B can do 15% of the work in a day if they work together. So they can do the whole job in 100/15 = 6.66 days or 6 days and 18 hours.

Estimation

That's the most important technique. This is not a secret that every successful candidate is using this technique during exams.

Example - 112 × 92
Simply 112 × 9 = 1008
Add a zero 10080 and then add 224 to 10080.
Answer is 10304

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Script for Time And Work Rules

If A can do a piece of work in n days, then Time And Work Rules
The work done by A in one day = 1/n

If A is twice as good a workman as B, then A will take half of the time taken by B to complete a piece of work.

If A and B together can do a piece of work in x days, B and C together can do in y days and C and A together can do in z days, then the same work can be done.

This rule can be used in almost every problems.

If M₁ persons can do W₁ work in D₁ days and M₂ persons can do W₂ works in D₂days then we can say
M₁D₁W₂ = M₂D₂W₁

If the persons work T₁ and T₂ hours per day respectively then the equation gets modified to
M₁D₁T₁W₂ = M₂D₂T₂W₁

If the persons has efficiency of E₁ and E₂ respectively then,
M₁D₁T₁E₁W₂ = M₂D₂T₂E₂W₁

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Script for Useful maths tricks for competitive exam

How to find a CUBE ROOT of number

13824
Step 1: Now to find the unit place of the cube root always remember the following points
1.If the Last digit of a cube root is 8 than the unit digit will be 2.
2.If the Last digit of a cube root is 2 than the unit digit will be 8.
3.If the Last digit of a cube root is 3 than the unit digit will be 7.
4.If the Last digit of a cube root is 7 than the unit digit will be 3.
5.If the Last digit of a cube root is other than 2,3,7,8 than put the same number as the unit digit.
Now the unit digit will be 4

Step 2: Now strike the last 3 digits of the given number.
13824

Step 3: Now find the nearest square of the first 2 digit from the left
Now the nearest cube is 8

Step 4: now 8 is the cube root of 2
Therefore the ten’s place digit is 2
So the answer will be 24

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Script for Useful maths formula for competitive exam

Useful maths formula for competitive exam

Algebra:

● Laws of Indices:

(i) a^m ∙ aⁿ = a^{m + n}

(ii) a^m/aⁿ

(iii) (a^m)ⁿ = a^mn

(iv) a⁰ = 1 (a ≠ 0).

(v) a^{- n} = 1/aⁿ

(vi) ⁿ√a^m = a^m/n

(vii) (ab)^m = a^m ∙ bⁿ.

(viii) (a/b) ^m = a^m/bⁿ

(ix) If a^m = b^m (m ≠ 0), then a = b.

(x) If a^m = aⁿ then m = n.

● Arithmetical Progression (A.P.):

(i) The general form of an A. P. is a, a + d, a + 2d, a+3d,.....

where a is the first term and d, the common difference of the A.P.

(ii) The nth term of the above A.P. is t_n = a + (n - 1)d.

(iii) The sum of first n terns of the above A.P. is s = n/2 (a + l) = (No. of terms/2)[1st term + last term] or, S = ⁿ/₂ [2a + (n - 1) d]

(iv) The arithmetic mean between two given numbers a and b is (a + b)/2.

(v) 1 + 2 + 3 + ...... + n = [n(n + 1)]/2.

(vi) 1² + 2² + 3² +……………. + n² = [n(n+ 1)(2n+ 1)]/6.

(vii) 1³ + 2³ + 3³ + . . . . + n³ = [{n(n + 1)}/2 ]².

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Learn easy maths tricks with fun

Easy Maths Tricks with fun

Now, Learn Maths with fun by your fingers. If you have problems remembering the multiplication table of 9, try this finger math trick:

• Open both of your hands, extending your fingers, in front of you.
• To multiply 9 by 5, fold down your fifth finger from the left.
• Get the answer to 9 by 5 by counting your fingers on either side of the bent finger and combining them: 4 and 5 makes 45.
• To multiply 9 by 6, fold down your sixth finger from the left, and on.
• Get the answer to 9 by 6 by counting your fingers on either side of the bent finger and combining them: 5 and 4 makes 54.

Now you can quickly remember the multiplication table of 9 all the way up to 9 times 10 with fun.

Play the same for the below multiplications

1 × 9 = ?

2 × 9 = ?

3 × 9 = ?

4 × 9 = ?

5 × 9 = ?

6 × 9 = ?

7 × 9 = ?

8 × 9 = ?

9 × 9 = ?

10 × 9 = ? Like this get many ideas of maths and score in the competitive exam with kachhua... Kachhua can help you to prepare well in competitive exam by providing online material , video lectures and regular online tests(provided with Auto result and Daily solution)... click the below link for preparation of Mathematics with kachhua.. Advance Maths Maths (Only Daily Test) Do Online preparation of std. 6 to 10 on your mobile or PC... Click the below links and fill the form for online preparation of std. 6 to 10...  Standard 6 Standard 7 Standard 8 Standard 9 Standard 10 Click Here For other competitive exams like TALATI, GPSC, UPSC, IBPS, CCC, SSC etc.

Script for numerical ability of competitive exams

Important formulas of maths for competitive exams

• n(n + 1)(2n + 1) is always divisible by 6.

• 32n leaves remainder = 1 when divided by 8

• n3 + (n + 1 )3 + (n + 2 )3 is always divisible by 9

• 102n + 1 + 1 is always divisible by 11

• n(n2– 1) is always divisible by 6

• n2+ n is always even

• 23n-1 is always divisible by 7

• 152n-1 +1 is always divisible by 16

• n3 + 2n is always divisible by 3

• 34n – 4 3n is always divisible by 17

• n! + 1 is not divisible by any number between 2 and n.(where n! = n (n – 1)(n – 2)(n – 3)…….3.2.1).

for example, 5! = 5.4.3.2.1 = 120 and similarly 10! = 10.9.8…….2.1= 3628800

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