Ncert Class 8 – Maths – WorkSheet -Questions – Exercise SET E

Single Correct Type Questions

1. An algebraic expression that contains only two
   terms is called
   (A) Monomial (B) Binomial
   (C) Trinomial (D) None of these
2. The algebraic expression 2x + 3y + 4 is
   (A) Monomial (B) Binomial
   (C) Trinomial (D) None of these
3. In which of the following, the two expressions are
   like terms?
   (A) 6x and 6y (B) 7x and 9x
   (C) 6x and 6x²
   (D) 7x and 7xy
4. If we subtract 4a – 7ab + 3b + 12 from
   12a – 9ab + 5b – 3, then the answer is
   (A) 8a – 2ab + 2b – 15 (B) 8a + 2ab + 2b + 15
   (C) 8a + 2ab + 2b – 15 (D) 8a – 2ab – 2b – 15
5. Multiplication of monomials x², x³, x⁴
   (A) x⁹
   (B) x⁵
   (C) x⁷
   (D) x⁶

Multi Correct Type Questions

6. Which of the following is a monomial?
   (A) 4x²
   (B) xyz
   (C) 4 + x²
   (D) x + y + 3
7. Which of the following is a like term as 8xy?
   (A) 8 (B) xy
   (C) 7xy (D) 2xy
8. In a polynomial, the Exponents of the variables are
   always.
   (A) Integers
   (B) Non-negative integers
   (C) Whole numbers
   (D) Non-positive integers
9. 9x²yz /xy is equal to
   (A) 2yz (B) 9xz
   (C) 3xz (D) 9x2z
   
   

Case Based Questions:

If 2x⁴ – 3x³ – 3x² + 7x – 3 is divided by x² – 2x + 1 then

11. What is the quotient?
    (A) 2x² +x – 3 (B) 2x²– x +3 (C) x²– x + 3 (D) 2x²– x – 3
12. What is the remainder?
    (A) 1 (B) 0
    (C) 2 (D) x + 1
13. The quotient is a
    (A) Binomial (B) Monomial
    (C) Trinomial (D) None of these

Assertion & Reason Type Questions

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of
Assertion (A).
(B) Both Assertion (A) and Reason (R) are true but reason (R) is not the correct explanation
of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.
(D) Assertion (A) is false but Reason (R) is true.

1.Assertion: 2x², 9x² are like terms.
Reason: Like terms are terms that have the same variables and powers.

2.Assertion: 5 terms are there in the expression 5xy +9yz + 3zx + 5x – 4y.

Reason: An algebraic expression consists of a group of terms separated by operators, which are either plus signs or minus signs

Descriptive

1. There are 6x + 8y shelves in a book shop and each shelve there are 8x + 6y books. How many books are there in the book shop?

2. Perform the following divisions of [(–qxy + pyz – xyz) ÷ (–xyz)]

3.Find the last digit of 24³³ when it is expanded?

4. The area of a square is 576 cm² . Find the length of its side and diagonal.

5.The dimensions of a cuboid are in the ratio 3 : 2 : 1. Its volume is 1296 m³ . Find the dimensions.

6. Anna left for city A from city B at 6 : 20 A.M. She travelled at the spped of 80 Km/hr for 2 hours 15
minutes. After that the speed reduced to 60 km/hr. If the distance between the two cities is 350 km, at what time did Anna reach city A?

7. Two scooterists cover the same distance at the speeds of 60 km/hr and 54 km/hr. Find the distance covered by each of them when one takes 25 minutes longer than the other.