# Class 8 Maths Chapter 9 Test Paper Set 2 Pdf Download CBSE

Test Paper Of Class 8 Maths Chapter 9 Algebraic Expressions and Identities set 2 pdf download

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**Chapter 9 Test Paper (02)**

**Class 8 Maths Chapter 9 Algebraic Expressions and Identities Test Paper Set-2 Text Form:-**

**PGRMS Education**

**SAMPLE PAPER (2)CLASS: 8 MAX. MARKS :30SUBJECT: MATHEMATICS TIME: 1:30 HOURCH: 9 (Algebraic Expressions and Identities)General Instructions:**

I. All questions are compulsory.

II. This question paper contains 14 questions divided into four Sections A, B, C and D.

III. Section A has 5 questions of 1 mark each. Section B has 4 questions 2 marks each. Section C has 3 questions of 3 marks each. and Section D has 2 questions of 4 marks each.

IV. Use of Calculators is not permitted.

**Section β A**

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

1. Which of the following is an identity?

(a) (p + q)^{2} = p^{2} + q^{2} (b) p^{2} β q^{2} = (p β q)^{2}

(c) p^{2} β q^{2} = p^{2} + 2pq β q^{2} (d) (p + q)^{2} = p^{2} + 2pq + q^{2}

2. Which of the following is correct?

(a) (a β b)^{2} = a^{2} + 2ab β b^{2}

(b) (a β b)^{2} = a^{2 }β 2ab + b^{2}

(c) (a β b)^{2} = a^{2} β b^{2} (d) (a + b)^{2} = a^{2} + 2ab β b^{2}

3. Which of the following is a binomial?

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(a) 7 Γ a + a (b) 6a^{2} + 7b + 2c

(c) 4a Γ 3b Γ 2c (d) 6 (a^{2} + b)

4. Volume of a rectangular box (cuboid) with length = 2ab, breadth = 3ac and height = 2ac is

(a) 12a^{3}bc^{2} (b) 12a^{3}bc

(c) 12a^{2}bc (d) 2ab +3ac + 2ac

5. a^{2} β b^{2} is equal to

(a) (a β b)^{2} (b) (a β b) (a β b)

(c) (a + b) (a β b) (d) (a + b) (a + b)

**Section β B**

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

(i) x/2 + y/2β xy

(ii) 0.3a β 0.6ab + 0.5b

7. (a) Add (i) a β b + ab, b β c + bc, c β a + ac

(b) Subtract 3xy + 5yz β 7zx from 5xy β 2yz β 2zx + 10xyz

8. Obtain the product of

(i) xy, yz, zx

(ii) a, β a^{2}, a^{3}

9. Simplify a (a^{2}+ a + 1) + 5 and find its value for (i) a = 0,

(ii) a = 1

(iii) a = β 1.

**Section β C**

10. Find the product.

(a) (y β 8) and (3y β 4)

(b) (a^{2}+ 5) (b^{3}+ 3) + 5

(c) (a^{2}+ b) (a + b^{2})

11. Simplify.

(a) (x + y)(2x + y) + (x + 2y)(x β y)

(b) (1.5x β 4y)(1.5x + 4y + 3) β 4.5x + 12y

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

(a) (1.1m β 0.4) (1.1m + 0.4)

(b) (4x + 5) (4x + 1)

(c) (2x + 5y) (2x + 3y)

**Section β D**

13. Simplify.

(a) (9p β 5q)^{2} + 180pq = (9p + 5q)^{2}

(b) (m^{2 }β n^{2}m)^{2} + 2m^{3}n^{2}

(c) 9.7 Γ 9.8

(d) 998^{2}

14. (a) If a + b = 25 and a^{2} + b^{2 }= 225, then find ab.

(b) What should be added to 4c (β a + b + c) to obtain 3a (a + b + c) β 2b(a β b + c)?