Algebra(6th Grade > Mathematics ) Questions and answers for exam Preparation

6th Grade > Mathematics

ALGEBRA MCQs

Total Questions : 96 | Page 2 of 10 pages

Question 11. Raju's age is 5 more than twice of Ram's age. If Ram's age is represented by

x

, then the expression which represents Raju's age is ________.

2x
2x + 5
5x+2
2x−5

Discuss Question

Answer: Option B. -> 2x + 5
:
B
Given Ram's age is

x

.
Twice of Ram's age is

2 x

∴

5 more than twice Ram's age is

2 x + 5

which gives Raju's age.

Question 12. Find the value of: [4 MARKS]
(i)

p + q + 3 r

w h e n p = 1, q = 5, r = 2

(ii)

2 a + 4 b + 5 c

w h e n a = 5, b = 10, c = 20

(iii)

3 a - 2 b

w h e n a = 8, b = 10

(iv)

5 x + 3 y - 6 z

w h e n x = 3, y = 5, z = 4

Discuss Question

:
Each option: 1 Mark
(i)

p + q + 3 r, w h e n p = 1, q = 5, r = 2

p + q + 3 r = 1 + 5 + 3 (2) = 12

(ii)

2 a + 4 b + 5 c, w h e n a = 5, b = 10, c = 20

2 a + 4 b + 5 c = 2 (5) + 4 (10) + 5 (20)

= 10 + 40 + 100 = 150

(iii)

3 a - 2 b, w h e n a = 8, b = 10

3 a - 2 b = 3 (8) - 2 (10)

= 24 - 20 = 4

(iv)

5 x + 3 y - 6 z, w h e n x = 3, y = 5, z = 4

5 x + 3 y - 6 z = 5 (3) + 3 (5) - 6 (4) = 15 + 15 - 24

= 30 - 24 = 6

Question 13. The coefficient of term

x y^{2}

in expression

4 x y^{2} + x^{3} - x^{5} + 2 x y^{2}

is ______.

Discuss Question

Answer: Option D. -> 6
:
D
Since

4 x y^{2}

and

2 x y^{2}

are like terms, the given expression can be written as follows.

4 x y^{2} + x^{3} - x^{5} + 2 x y^{2} = 6 x y^{2} + x^{3} - x^{5}

Therefore, thecoefficient of

x y^{2}

is 6.

Question 14. Which of the following is a variable?

Number of days in a week
5
Temperature of a place in a day at different times
Number of months in a year

Discuss Question

Answer: Option C. -> Temperature of a place in a day at different times
:
C
The temperature of a place in a day at different times will be different. So it is a variable.
The number of days in a week and the number of months in a year always remain the same. So these are constants.
5 has a fixed value. So it is a constant.

Question 15. If the sum of successor and predecessor of a number is 14, then the number should be _____.

Discuss Question

Answer: Option C. -> 7
:
C
Let the number be

x

.
Therefore, the successor of number is

x

+ 1 and the predecessor is

x

- 1.
Given that thesum of successor and predecessor is 14.

∴ x + 1 + x - 1 = 14 \Rightarrow 2 x = 14 \Rightarrow x = \frac{14}{2} \Rightarrow x = 7

So, the number should be 7.

Question 16. Value of

2 x y

when

x = 4

and

y = 0

is _________.

Discuss Question

Answer: Option A. -> 0
:
A

2 x y = 2 \times x \times y

On substituting the values of

x

and

y

, we get

2 x y = 2 \times 4 \times 0 = 8 \times 0 = 0

Question 17. The variable in the expression

(9 x + 32) \div 9

is ___.

Discuss Question

:
Variable is the unknown quantity which can have different values at different instances and they are usually represented by alphabets. In above expression,