Patterns in Whole Numbers

Q.

Get 100 using four 9's and some of the symbols like +, -, *, /

Q.

Choose the correct HTML tag to make a text italic

1. (a)

2. (b)

3. (c)

4. (d)

Q. Which of the following numbers cannot be represented as a triangle using dots?

1. 10
2. 15
3. 3
4. 12

Q.

Question 19
By using dot (.) patterns, which of the following numbers can be arranged in all the three ways namely a line, a triangle and a rectangle?
(A) 9
(B) 10
(C) 11
(D) 12

Q.

Where would the number $\sqrt{3}$ lie on the number line?

1. between 0 and 1

2. between 1 and 2

3. between 2 and 3

4. None of the above

Q.

49 dots can be arranged to form a square.

1. True

2. False

Q. Every number can be arranged in the shape of a ________ made up of dots.

1. Rectangle
2. Line
3. Square
4. Triangle

Q. Find the product of 20 x 255 x 50 by suitable arrangement.

1. 25025
2. 25500
3. 255000
4. 252500

Q.

Which of the following numbers will represent a set of square numbers?

1. 1, 2, 3

2. 4, 9, 16

3. 5, 7, 8

4. 9, 11, 12

Q.

What are triangular numbers?

Q. By looking at the following pattern,
Solve 91 x 11 x 5.

91 x 11 x 1 = 1001
91 x 11 x 2 = 2002
91 x 11 x 3 = 3003

1. 5000
2. 5005
3. 4004
4. 5004

Q. Evaluate the following expression using patterns:
148 - 99

1. 50
2. 49
3. 48
4. 43

Q.
(i) Can a rectangular number also be a square number?
(ii) Can a triangular number also be a square number?

Q. Which of the following numbers can be shown as squares when arranged in elementary shapes made up of dots?

1. 
   2
2. 
   4
3. 
   6
4. 
   9

Q.

By suitable rearrangement , find the product of :

$8x40x25x125$

Q. Which of the following inequalities represents the given number line?

1. $-5<x\le 5$
2. $-5<x<5$
3. $-5\le x<5$
4. $-5\le x\le 5$

Q.

In an imaginary universe, all the numbers are represented using dots. Each number is represented by that many dots as the value of the number. These dots are then joined by a straight line. The number 2 when represented in this world, would only form a ___.

1. line Segment

2. rectangle

3. triangle

4. point

Q.

What is the absolute value of

(45-55)-(8)+(7)?

Q.

Using properties of multiplication, find the product of the following:
$2\times 6851\times 50$

Q. Simplify:

(1) (−8) + (−3)
(2) 13 − 15
(3) 6 − (−19)
(4) 10 + (−7)

Q. The numbers of elements of triangle ? Explain

Q. Evaluate the following expression using patterns:
$35\times 9999$

1. 369965
2. 349935
3. 34935
4. 349965

Q.

117 + 9 = 117 + 10 - 1 = 127 - 1

1. True

2. False

Q. Without adding, find the sum:
(i) (1 + 3 + 5 + 7 + 9 + 11 + 13)
(ii) (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19)
(iii) (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23)

Q. By looking at the following pattern,
Solve 91 x 11 x 5.

91 x 11 x 1 = 1001
91 x 11 x 2 = 2002
91 x 11 x 3 = 3003

Q.

In the pattern given:

if we consider a single figure, each row in that figure has ___ number of squares.

1. odd and even

2. None of the above

3. odd

4. even

Q.

If white button represents +1 and black button represents +1. Find the net value of all the buttons shown:

1. +1

2. -1

3. 0

4. 7

Q. By looking at the following pattern,
Solve 91 x 11 x 5.

91 x 11 x 1 = 1001
91 x 11 x 2 = 2002
91 x 11 x 3 = 3003

Q. Add:

(6) −37, +22

Q. Write how the following numbers are read and also find their values.

(5) 55²