Matchstick Patterns

Q. Generalise the given pattern using match sticks as an algebraic expression, by finding the number of match sticks required to make the nth term.

1. 6n
2. 3n - 3
3. 3n + 3
4. 2n + 3

Q. 12, 23, 34, ...
The next three numbers in the given pattern are ​​​​​​​

1. 45, 58 and 69
2. 35, 36 and 37
3. 45, 56 and 67

Q. How many natural numbers lie between $2^2$ and $3^2$?

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

Q.

XXX + LXX = ?

1. XXXX

2. C

3. D

4. XXVI

Q. Generalise the given pattern of match sticks and express it in algebraic form.

1. 6n - 1
2. 5n - 1
3. 5n + 1
4. 6n + 1

Q. Find the number of natural numbers between $7^2$ and $9^2$.

1. 30
2. 29
3. 31
4. 32

Q. Write the algebraic expression to represent the statement "6 taken away from thrice of a".

Q. Find the next term of the pattern 111/3, 333/9, 555/15, 777/21.

1. 999/27
2. None of the above
3. 666/18
4. 888/24

Q. Find the next term of the pattern 111/3, 333/9, 555/15, 777/21.

1. None of the above
2. 666/18
3. 888/24
4. 999/27

Q. Find the number of natural numbers between $7^2$ and $9^2$.

1. 29
2. 30
3. 31
4. 32

Q.

Find the algebraic expression to express the following number series :

7, 12, 17, 22, 27, 32, …… (n = 1, 2, 3...)

1. 5n

2. 4n + 2

3. 5n + 2

4. 5n - 2

Q. Find the next term of the pattern 111/3, 333/9, 555/15, 777/21.

1. 999/27
2. 666/18
3. None of the above
4. 888/24

Q. Which digitwill be next in the given sequence?
3 1 4 5 9 5 5 ?

Q. How many matchsticks are required to make 10th figure?

1. 51
2. 46
3. 41
4. 36

Q. How many natural numbers lie between $2^2$ and $3^2$?

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

Q. Fibonacci numbers Take 10 numbers as shown below:
a, b, (a + b), (a + 2b), (2a + 3b), (3a + 5b), (5a + 8b), (8a + 13b), (13a + 21b), and (21a + 34b). Sum of all these numbers = 11(5a + 8b) = 11 × 7th number.
Taking a = 8, b = 13; write 10 Fibonacci numbers and verify that sum of all these numbers = 11 × 7th number.

Q.

Identify the pair(s) of like terms among the given options.

1. Like: 4xy, 3yx

2. Like: 4xy, 8x²

3. Unlike: 4xy, 8x²

4. Unlike: 3yx, 8x²

Q. Write the algebraic expression for the nth term of the number pattern 13, 23, 33, 43, .....