# Class 8 Maths Chapter 9 Test Paper Set 3 Pdf Download CBSE

Test Paper Of Class 8 Maths Chapter 9 Algebraic Expressions and Identities set 3 pdf download

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**Chapter 9 Test Paper (03)**

**Class 8 Maths Chapter 9 Algebraic Expressions and Identities Test Paper Set-3 Text Form:-**

**PGRMS Education**

**SAMPLE PAPER (3)CLASS: 8 MAX. MARKS :30SUBJECT: MATHEMATICS TIME: 1:30 HOURCH: 9 (Algebraic Expressions and Identities)**

**Section β A**

**In Questions 1 to 10, there are four options, out of which one is correct. Write the correct answer.**

1. a ( b + c) = ab + ac is

(a)commutative property (b) distributive property

(c) associative property (d) closure property

2. The sum of β7pq and 2pq is

(a) β9pq (b) 9pq

(c) 5pq (d) β 5pq

3. Sum of a β b + ab, b + c β bc and c β a β ac is

(a) 2c + ab β ac β bc (b) 2c β ab β ac β bc

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(c) 2c + ab + ac + bc (d) 2c β ab + ac + bc

4. Product of 6a2 β 7b + 5ab and 2ab is

(a) 12a^{3}b β 14ab^{2} + 10ab (b) 12a^{3}b β 14ab^{2} + 10a^{2}b^{2}

(c) 6a2 β 7b + 7ab (d) 12a2b β 7ab2 + 10ab

5. Square of 9x β 7xy is

(a) 81x^{2} + 49x^{2}y^{2} (b) 81x^{2} β 49x^{2}y^{2}

(c) 81x^{2} + 49x^{2}y^{2 }β126x^{2}y (d) 81x^{2} + 49x^{2}y^{2} β 63x^{2}y

**Section β B**

6. Identify the terms, their coefficients for each of the following expressions.

(i) 4x^{2}y^{2} β 4x^{2}y^{2}z^{2}+ z^{2}

(ii) 3 β pq + qr β rp

7. (a) Add (iii) 2p^{2}q^{2}β 3pq + 4, 5 + 7pq β 3p^{2}q^{2}

(c) Subtract 4p^{2}q β 3pq + 5pq^{2} β 8p + 7q β 10 from 18 β 3p β 11q + 5pq^{2} pq^{2}+ 5p^{2}q

8. Obtain the volume of rectangular boxes with the following length, breadth and height respectively.

(iii) xy, 2x^{2}y, 2xy^{2}

(iv) x Γ x^{2}Γ x^{3}Γ x^{4}

9. (a) Simplify 3x (4x β 5) + 3 and find its values for

(i) x = 4

(ii) x =10.

**Section β C**

10. Find the product.

(a) (2.5l β 0.5m) and (2.5l + 0.5m)

(b) (p^{2} β q^{2}) (2p + q)

(c) (a + 3b) and (x + 5)

11. Simplify.

(a) (a + b + c)(a + b β c)

(b) (a + b) (2a β 3b + c) β (2a β 3b)

(c) (m + n) (m^{2} β mn + n^{2}) = m^{3} + n^{3}

12. Use a suitable identity to get each of the following products.

(a) (a^{2}+ b^{2}) (β a^{2} + b^{2})

(b) (2a^{2} + 9) (2a^{2} + 5)

(c) (6x β 7) (6x + 7)

**Section β D**

13. Simplify.

(a) (4pq + 3q)^{2} β (4pq β 3q)^{2} = 48pq^{2}

(b) (2.5p β 1.5q)^{2}β (1.5p β 2.5q)^{2}

(c) 103 Γ 104

(d) 99^{2}

14 (a) If a^{2} + b^{2 }= 74 and ab = 35, then find a + b.

(b) The height of a triangle is x^{4 }+ y^{4} and its base is 14xy. Find the area of the triangle.