Adding Odd Natural Numbers

Q.

There are _________ natural numbers between $n^2$ and ${(n+1)}^2$.

Q.

The sum of the first 16 odd natural numbers is ___.

1. 286

2. 246

3. 296

4. 256

Q. Study the following pattern.
$1=1^2$
$1+3=2^2$
$1+3+5=3^2$
$1+3+5+7=4^2$
and so on.
What is the sum of the first 10 odd numbers?

1. 20
2. 100
3. 10
4. 200

Q. Find the following products by using properties of multiplication

972×8+972×2

Q. 957×10×583-483×9570

Q.

The sum of first $n$ consecutive odd natural numbers is equal to $n^2$.

1. True

2. False

Q.

12 x (45 + 30) = _______ .

1. (12 x 45) + (12 x 30)

2. (12 x 45) x (12 x 30)

3. 12 x 65

4. 12 x 45 x 30

Q.

Find the values of the following:

A. 497* 37+ 497*13

Q.

Can you explain me how to do distributive property on multiplication over addtion and multiplication over subtraction

Q. Using special methods find 389×999

1. 378611

2. 388621

3. 388611

4. 387611

Q. Non-square natural numbers between ${16}^2$ and ${17}^2$ =

1. 2×16
2. 2×17
3. 42
4. 42+1

Q.

189 x 9 = 189 x (______ - 1)

1. 99

2. 100

3. 10

4. 9

Q. Using special methods find 45082×99999

1. 4508589718
2. 4508154918
3. 8618154918
4. 4508155868

Q.

Is the sum of the first five odd numbers, an odd number $?$

Q. Sum of ${}^{\prime }{n}^{\prime }$ odd number of consecutive numbers is divisible by ${}^{\prime }{n}^{\prime }$. Explain the reason

Q. 1 + 3 + 5 + 7 + 9 + 11 =

1. $2^2$
2. $4^2$
3. $6^2$
4. $8^2$

Q. Without addition, find : $1+3+5+7+9+11+13+15+17+19$

Q.

(794*9)+(794*991)

Simplify using distributive law

Q.

190 + 21 = ?

1. 400
2. 211
3. 1111
4. 201

Q.

(230 + 9) (400 - 1) is equal to

1. 399 x 9

2. 399 x 230

3. 399 + 239

4. 239 x 399

Q. The sum of first $n$ consecutive odd numbers is equal to

1. $n$
2. $n^2$
3. $n^3$

Q. Using Distributive property how will we simplify:199 x 26743 - ( - 26743 )

Q.

212×424+212×366+212×240

Explain With Solution

Q. 1 + 3 + 5 + 7 + 9 + 11 =

1. $4^2$
2. $2^2$
3. $6^2$
4. $8^2$

Q. 1834 + 99 =

1. 2833
2. 1933
3. 1843
4. 1833

Q. Non-square natural numbers between ${16}^2$ and ${17}^2$ =

1. 2×16
2. 2×17
3. 42
4. 42+1

Q.

(a) 137 and −354 (b) − 52 and 52

(c) − 312, 39 and 192 (d) − 50, − 200 and 300

Q. 1 + 3 + 5 + 7 + 9 + 11 =

1. $2^2$
2. $4^2$
3. $6^2$
4. $8^2$

Q. 1 + 3 + 5 + 7 + 9 + 11 =

1. $4^2$
2. $8^2$
3. $2^2$
4. $6^2$

Q. 1 + 3 + 5 + 7 + 9 + 11 =

1. $2^2$
2. $4^2$
3. $6^2$
4. $8^2$