Patterns

Q.

A gardener has $1000$ plants. He wants to plant these in such a way that the number of rows and the number of columns remain same. Find the minimum number of plants he needs more for this.

Q.

Find the next number in the series $2,3,6,18,108,...$.

Q. The number on the opposite face of 3 in a dice is _______.

1. 5
2. 6
3. 4
4. 2

Q.

What is the square root of the number $676$.

Q.

What is non square numbers ?

Q. Find the number of non-square natural numbers between ${16}^2$ and ${17}^2$.

1. 32

Q.

There is/are ___ perfect square/squares between 50 and 70.

Q.

The product of any $r$ consecutive natural numbers is always divisible by

1. $r!$

2. $r^2$

3. $r^n$

4. none of these

Q.

What is a net of a solid figure?

Q. How many matchsticks are needed to make 5 squares if to make a square 4 matchsticks are needed, to make 2 squares 8 matchsticks are needed, to make 3 squares 12 matchsticks are needed and so on?

1. 20
2. 24
3. 16
4. 12

Q. There are non-square natural numbers between the squares of 4 and 5.

1. three
2. six
3. eight
4. ten

Q.

The tenth triangular number is ___.

1. 60

2. 45

3. 55

4. 36

Q. Solve the following using the associative property.
(a) 87 + 64 + 36
(b) 367 + 243 + 57
(c) 63 + 82 + 8
(d) 918 + 712 + 82
(e) 713 + 87 + 200
(f) 47 + 313 + 53

Q. What type of number is obtained by adding two consecutive triangular numbers?

Q.

Can a moment be negative?

Q.

The number 5 can be arranged as

1. a line, a rectangle, a square and a triangle

2. a line

3. a line and a square

4. a square and a triangle

Q. _____ is the smallest triangular number.

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

Q. Match the following to complete each of the patterns.

1. M
2. 5DE
3. 18

Q. The number 12 can be represented by a rectangle in ___ different ways.

1. 1
2. 2
3. 3
4. 4

Q.

49 dots can be arranged to form a square. Is it true or false?

1. True

2. False

Q.

The number 144 can be represented by 12x12 square grid . Which of the following can also be represented on a square grid ?

a) 70 b) 39

c) 50 d) 81

Q.

Which number has no line of symmetry?

1. 7

2. 8

3. 3

4. zero

Q. Observe the following pattern and find the next step.

$1\times 8+1=9$
$12\times 8+2=98$
$123\times 8+3=987$

1. $123\times 8+5=98765$
   
2. $1234\times 8+4=9876$
   
3. $1234\times 7+6=9876$
4. $12345\times 8+5=98765$

Q. Find the value of ${1111}^2$ if:

$1^2=1$
${11}^2=121$
${111}^2=12321$

1. $1234321$
2. $123454321$
3. $1235321$
4. 54321

Q.

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

1. 1, 2, 3

2. 5, 7, 8

3. 9, 11, 12

4. 4, 9, 16

Q.

30 can be arranged as ______

1. Square

2. Rectangle

3. Line and rectangle

4. Line and triangle

Q.

A number pattern is given by the rule $T=2n+1$, where $T$ is the term in the number pattern, and $n$ is the number of the term. Write down the $1000th$ term of the pattern.

Q. The sum of two consecutive natural numbers is always a/an ___ number.

1. even
2. prime
3. composite
4. odd

Q. Find the value of the following, using suitable properties
(a) 406 $\times$ 516
(b)8 $\times$ 291 $\times$ 125

1. 2, 09, 496
2. 291000
3. 292000
4. 2, 09, 486

Q.

On her way to meet her friends, Sonali saw an ambulance and wondered as to why the word 'AMBULANCE ' is written in the manner depicted in the image. Explain the reason why it is written so. (2 marks)