RBSE Class 6 Maths Important Questions Chapter 11 Algebra

Rajasthan Board RBSE Class 6 Maths Important Questions Chapter 11 Algebra Important Questions and Answers.

RBSE Class 6 Maths Chapter 11 Important Questions Algebra

Multiple Choice Questions

Question 1.
5P equals to :
(a) 5 + P
(b) 5 × P
(c) 5 - P
(d) 5 + P
Answer:
(b) 5 × P

Question 2.
3 more than twice a number can be represented as:
(a) 2x + 3
(b) 3x + 2
(c) 2x - 6
(d) 2x - 3
Answer:
(a) 2x + 3

Question 3.
Which of the following is an equation?
(a) x + 7
(b) 2y + 3 = 7
(c) 2p < 10
(d) 12x
Answer:
(b) 2y + 3 = 7

Question 4.
10 - x means:
(a) 10 is subtracted x times
(b) x is subtracted 10 times
(c) x is subtracted from 10
(d) 10 is subtracted from x
Answer:
(c) x is subtracted from 10

Question 5.
If the perimeter of a rectangular heptagon is x then the length of each of its sides is :
(a) x + 7
(b) x - 7
(c) 7x
(d) x ÷ 7
Answer:
(d) x ÷ 7

Question 6.
Aparna i x years of age now, 7 years after her age will be :
(a) x - 7 years
(b) x + 7 years
(c) 7 - x years
(d) 7x years
Answer:
(b) x + 7 years

Question 7.
I think of a number and adding 13 to it, I get 27. The equation for this is :
(a) x - 27 =13
(b) x - 13 = 27
(c) x + 27 = 13
(d) x + 13 = 27
Answer:
(d) x + 13 = 27

Question 8.
In arithmetic, 3 × 5 is 15 but in algebra a x 6 means :
(a) 15
(b) ab
(c) a + b
(d) a ÷ b
Answer:
(b) ab

Fill in the Blanks

Question 1.
Variable means that it can take ....................... (fixed/different)
Answer:
different

Question 2.
t minutes are equal to ..................... seconds.
Answer:
60t

Question 3.
If x takes the value 3, then the value of x + 5 is .........................
Answer:
8

Question 4.
If the present age of Ramandeep is n years, then his age after 7 years will be ...........................
Answer:
n + 7 years

Question 5.
Number of pencils bought for ₹ x at the rate of ₹ 2 per pencil is ...........................
Answer:
x ÷ 2

State whether True or False

Question 1.
x + 4 is an algebraic expression.
Answer:
True

Question 2.
x + 5 can be simplified as 5x.
Answer:
False

Question 3.
6 subtracted from the product of 3 and x is 3x - 6.
Answer:
True

Question 4.
5 mm is equal to cm.
Answer:
True

Very Short Answer Type Questions

Question 1.
Think of a number. Multiply it by 5. Add 6 to the result. Subtract y from this result. What is the result?
Answer:
Let the number be JC.
On multiplying the number by 5, we get: 5x
Further, adding 6 to 5x, we get: 5x + 6
Finally, on subtracting y from 5x + 6,
we get: 5x + 6 - y

Question 2.
Rahul score 80 marks in English and x marks in Hindi. What is his total scores in the two subjects?
Answer:
Marks obtained in English = 80
Marks obtained in Hindi = x
Total marks obtained = 80 + x

Question 3.
Rohit covers x centimetres in one step. How much distance does he covers in y steps?
Answer:
It is given that Rohit covers x cm in one step.
Therefore, distance covered by him in y steps = x × y = xy cm

Short Answer Type Questions

Question 1.
One apple weights 75 gram and one orange weighs 40 gram. Determine the weight of JC apples and y oranges.
Answer:
Weight of an apple = 75 grams
Weight of an orange = 40 grams
Weight of x apples = 75 × x = 75x grams
Weight ofy oranges = 40× y = 40y grams
Total weight of x apples andy oranges = (75x + 40y) grams.

Question 2.
Mona's father is thrice as old as Mona. After 12 years, his age will be twice that of his daughter. Find their present ages.
Answer:
Let Mona's present age = x years
Mona's father's present age = 3x years
After 12 years Mona's age will be = x + 12 years
Mona's father's age after 12 years = (3x + 12) years
Now, 3x + 12 = 2 (x + 12)
⇒ 3x + 12 = 2x + 24
⇒ 3x - 2x = 24 - 12
(Transposing 2x to LHS and 12 to RHS)
⇒ x = 12
Hence, Mona's present age = 12 years
Mona's father's age = 12 × 3 = 36 years