Test Paper Of Class 7 Maths Chapter 12 Algebraic Expression

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**Chapter 12 Test Paper (04)**

## Class 7 Maths Chapter 12 algebraic Expression Test Paper Set-4 Text Form:-

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**SAMPLE PAPER (04)**

** CLASS: 7 MAX. MARKS :30 SUBJECT: MATHEMATICS TIME: 1:30 HOUR CH: 7 (PERIMETER AND AREA)**

**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. An algebraic expression containing three terms is called a

(a) monomial (b) binomial

(c) trinomial (d) All of these

2. Factors of ā5x^{2} y^{2} z are

(a) ā 5 Ć x Ć y Ć z (b) ā 5 Ć x^{2}Ć y Ć z

(c) ā 5 Ć x Ć x Ć y Ć y Ć z (d) ā 5 Ć x Ć y Ć z^{2}

3. The subtraction of 5 times of y from x is

(a) 5x ā y (b) y ā 5x

(c) x ā 5y (d) 5y ā x

4. The expression for the number of diagonals that we can make from one vertex of a n sided polygon is:

(a) 2n + 1 (b) n ā 2 (c) 5n + 2 (d) n ā 3

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) ā p^{2}q^{2} + 7pq (ii) 1.2 a + 0.8 b

(iii) 1 + t + t^{2} + t^{3} (iv) x + 2xy + 3y

7. Classify into monomials, binomials and trinomials.

(i) z^{2} ā 3z + 8 (ii) a^{2} + b^{2}

(iii) z^{2 }+ z (iv) 1 + x + x^{2}

8. Identify like terms in the following:

10pq, 7p, 8q, ā p^{2}q^{2}, ā7qp, ā 100q, ā23, 12q^{2}p^{2},

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

(i) Product of numbers y and z subtracted from 10.

(ii) Sum of numbers a and b subtracted from their product.

**Section ā C**

10. Add:

(i) a + b ā 3, b ā a + 3, a ā b + 3

(ii) 14x + 10y ā 12xy ā 13, 18 ā 7x ā 10y + 8xy, 4xy

(iii) 5m ā 7n, 3n ā 4m + 2, 2m ā 3mn ā 5

11. Subtract:

(i) (a ā b) from (a + b)

(ii) ā x^{2} + 10x ā 5 from 5x ā 10

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

12. Simplify the expressions and find the value if x is equal to 2

(i) x + 7 + 4 (x ā 5)

(ii) 3 (x + 2) + 5x ā 7

(iii) 6x + 5 (x ā 2)

**Section ā D**

13. (a) If P = ā(x ā 2), Q = ā2(y +1) and R = āx + 2y, find a, when P + Q + R = ax.

(b). From the sum of x^{2} ā y^{2} ā 1, y^{2} ā x^{2} ā 1 and 1 ā x^{2} ā y^{2} subtract ā (1 + y^{2}).

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

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

(b) mn + np + pm

(c) m^{3} + n^{3} + p^{3} ā 3mnp

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