Algebra as Patterns

Q.

Given below is a pattern made using squares. Observe the pattern and find the number of squares in the next figure in the sequence. Also find the general form which represents the number of squares in the sequence.

1. The pattern doesn’t follow with the next set of squares

2. $16,n^2$

3. $25,n^2$

4. $25,2n+1$

Q.

Look at the given numbers
10, 20, 30, 40, 50, 60, 70, 80, 90.
What is the general algebraic expression to write the given numbers?

1. 2n (n = 1, 2, 3, 4, ………)

2. 4n (n = 1, 2, 3, 4, ……)

3. 5n (n = 1, 2, 3, 4, ……9)

4. 10n (n = 1, 2, 3, 4, ……9)

Q.

In a video game, you have to earn coins. If you get a gold coin, you gain 20 points, but if by mistake you get hold of a red coin, you lose 5 points. Suppose you got 19 gold coins and 7 red coins, what’s your total score?

1. 345

2. 325

3. 335

4. 355

Q.

Which of the given expressions represents the pattern 1, 4, 7, 10, 13..... ?

1. 3n+1

2. 3n+2

3. 3n-2

4. 3n

Q. Express the statement in algebraic form:
$12$ times of $x$ is less than $5z$.

Q. A restaurant charges $30 for 2 pizzas. How much would the restaurant charge for 4 pizzas?

1. 20 dollars
2. 15 dollars
3. 30 dollars
4. 60 dollars

Q. If 10 burgers are sold for 4 dollars, how many dollars are needed to buy 20 burgers?

1. 40
2. 14
3. 8
4. 4

Q.

If five matchsticks are needed to make a model of 2, then the number of matchsticks needed to make $2n+1$ such models is

1. $2n+1$

2. $2(2n+1)$

3. $2(5n+1)$

4. $5(2n+1)$

Q.

The given two algebraic patterns have the same value for n = 3

1. $3^n$

2. $n^3$

1. Yes

2. No

Q.

The given algebraic expressions have same values for n =2.

1. $2^n$

2. $n^2$

1. No

2. Yes

Q.

The following two algebraic patterns have the same value for n = 3:

1. $3^n$

2. $n^3$

1. Yes

2. No

Q.

State whether these two algebraic patterns have same values or not for n =3:

1. $3^n$

2. $n^3$

1. Can't say

2. May be right

3. Yes

4. No

Q.

In the figure (b) , write down the expression for the number of matchsticks in the nth shape.

Q.

Find the total number of match sticks required to make $n$ such letters as shown.

1. $2n$

2. $5n$

3. $3n$

4. $4n$

Q. Rina, while waiting for her friend Tina, started playing with matchsticks. By the time Tina reached, she made the figure “$262226$” using the matchsticks. Tina accidentally steps on the pattern and all the matchsticks got spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted?

1. $21$
2. $26$
3. $32$
4. $36$

Q. Rina, while waiting for her friend Tina, started playing with matchsticks. As the wait time was more, Rina makes the figure 262226 using the matchsticks by the time Tina reaches. Tina accidentally steps on the pattern and all the matchsticks were spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted?

1. $26$
2. $21$
3. $32$
4. $36$

Q.

Given below is a pattern made using squares. Observe the pattern and tell the number of squares in the next figure in the sequence. Also, find the general form which represents the number of squares in the sequence.

1. The pattern doesn’t follow with the next set of squares.

2. $16,n^2$

3. $25,2n+1$

4. $25,n^2$

Q.

Which of the given expressions represents the pattern 1, 5, 9, 13, 17, .....?

1. $3n-3$

2. $3n-2$

3. $4n-2$

4. $4n-3$

Q.

Match the following figures according to the number of matchsticks required to make them.

1. 1-c; 2-b; 3-a

2. 1-c; 2-a; 3-d

3. 1-a; 2-d; 3-c

4. 1-a; 2-b; 3-c

Q.

State whether these two algebraic patterns have same values or not for n =3:

1. $3^n$

2. $n^3$

1. No

2. May be right

3. Yes

4. Can't say

Q. Remo draws a line using chalk and divides the board into two parts. In the upper part, he writes some random numbers, while in the bottom part, he writes the numbers related to the first part, thus forming a series.
Find the number that will come in place of '?'.

1. 81
2. 88
3. 121
4. 90

Q. Rina, while waiting for her friend Tina, started playing with matchsticks. As the wait time was more, Rina makes the figure “$262226$” using the matchsticks by the time Tina reaches. Tina accidentally steps on the pattern and all the matchsticks were spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted. Can you help her?

1. $21$
2. $26$
3. $32$
4. $36$

Q.

In the pattern given:

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

1. odd

2. even

3. None of the above

4. prime

Q. Sentence A is complete, while sentence B is not. Complete sentence B, making it as similar as possible to sentence A.
(A) He is so short that he cannot be a soldier.
(B) He is too __________________.

Q.

Rina, while waiting for her friend Tina, started playing with matchsticks. By the time Tina reached, she made the figure “$262226$” using the matchsticks. Tina accidentally steps on the pattern and all the matchsticks got spread all over. Rina was upset with this and wanted to find the number of matchsticks she wasted?

1. $26$

2. $21$

3. $32$

4. $36$

Q.

Express algebraically.

$5°C$ colder than $t°C$

Q.

The pattern formed by all even numbers is represented by the expression

1. $n$

2. $2n$

3. $2n+2$

4. $2n+1$

Q. The equation represented by the following algebraic set of tiles is:

1. 2 + 3x = 8
2. 4 + 3x = 8
3. 4 + 3x = 8
4. 4x = 8

Q. Rina wanted to make the number “$262226$” using matchsticks. How many matchsticks are required to make the given number?

Q. Find the respective patterns for these sequences:
a = 1, 2, 3, 4...
b = 0, 2, 4, 6, 8...