Test Paper Of Class 7 Maths Chapter 12 Algebraic Expression

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**Chapter 12 Test Paper (03)**

## Class 7 Maths Chapter 12 algebraic Expression Test Paper Set-3 Text Form:-

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**SAMPLE PAPER (03)**

** CLASS: 7 MAX. MARKS :30 SUBJECT: MATHEMATICS TIME: 1:30 HOUR CH: 12 (Algebraic Expressions)**

**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 of 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 ā A**

**In Questions 1 to 5, there are four options, out of which one is correct. Write the correct answer.**

**1. **The factors of the term āxy^{2} are

(a) x Ć y Ć y (b) ā 1 Ć y Ć y

(c) ā 1 Ć x Ć y (d) ā 1 Ć x Ć y Ć y

2. The terms of expression 4x^{2} ā 3xy are:

(a) 4x^{2} and ā3xy (b) 4x^{2} and 3xy

(c) 4x^{2} and āxy (d) x^{2} and xy

3. Identify the binomial out of the following:

(a) 3xy^{2} + 5y ā x^{2}y (b) x^{2}y ā 5y ā x^{2}y

(c) xy + yz + zx (d) 3xy^{2} + 5y ā xy^{2}

4. The value of 3x^{2} ā 5x + 3 when x = 1 is

(a) 1 (b) 0 (c) ā1 (d) 11

5. The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?

(a) 2x + 16 (b) 6x + 9 (c) 8x + 3 (d) 8x + 12

**Section ā B**

6. Identify the numerical coefficients of terms (other than constants) in the following expressions:

(i) 5 ā 3t^{2} (ii) 1 + t + t^{2} + t^{3 } (iii) 3.14 r^{2} (iv) 2(l + b)

7. Classify into monomials, binomials and trinomials.

(i) x + y ā xy (ii) 100 (iii) ab ā a ā b (iv) 5 ā 3t

8. State whether a given pair of terms is of like or unlike terms.

(iii) ā 29x, ā 29y (iv) 14xy, 42yx

(v) 4m^{2}p, 4mp^{2} (vi) 12xz, 12x^{2} z^{2}

9. Get the algebraic expressions in the following cases using variables, constants and arithmetic operations

(i) The number z multiplied by itself.

(ii) One-fourth of the product of numbers p and q.

**Section ā C**

10. Add:

(i) 3mn, ā 5mn, 8mn, ā 4mn

(ii) t ā 8tz, 3tz ā z, z ā t

(iii) ā 7mn + 5, 12mn + 2, 9mn ā 8, ā 2mn ā 3

11. Subtract:

(i) ā x2 + 10x ā 5 from 5x ā 10

(ii) 5a^{2} ā 7ab + 5b^{2} from 3ab ā 2a^{2} ā 2b^{2}

(iii) 4pq ā 5q^{2} ā 3p^{2} from 5p^{2} + 3q^{2} ā pq

12. When a = 0, b = ā 1, find the value of the given expressions:

(i) 2a + 2b (ii) 2a^{2} + b^{2} + 1 (iii) 2a^{2}b + 2ab^{2} + ab

**Section ā D**

13. If A = 3x^{2} ā 4x + 1, B = 5x^{2} + 3x ā 8 and C = 4x^{2} ā 7x + 3, then find:

(i) (A + B) ā C

(ii) B + C ā A

14. Find the values of following polynomials at m = 1, n = ā1 and p = 2:

(a) m + n + p

(b) m^{2} + n^{2} + p^{2}

(c) m^{3} + n^{3} + p^{3}

(d) mn + np + pm