Test Paper Of Class 7 Maths Chapter 12 Algebraic Expression

Chapter 12 Test Paper (04)

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

PGRMS EDUCATION

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 ā5x2 y2 z are

(a) ā 5 Ć x Ć y Ć z                          (b) ā 5 Ć x2Ć y Ć z

(c) ā 5 Ć x Ć x Ć y Ć y Ć z              (d) ā 5 Ć x Ć y Ć z2

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 p2q2 + 7pq                             (ii) 1.2 a + 0.8 b

(iii) 1 + t + t2 + t3                           (iv) x + 2xy + 3y

7. Classify into monomials, binomials and trinomials.

(i) z2 ā 3z + 8                               (ii) a2 + b2

(iii) z2 + z                                      (iv) 1 + x + x2

8. Identify like terms in the following:

10pq, 7p, 8q, ā p2q2, ā7qp, ā 100q, ā23, 12q2p2,

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

(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 x2 + 10x ā 5 from 5x ā 10

(iii) 5a2 ā 7ab + 5b2 from 3ab ā 2a2 ā 2b2

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 = ā2(y +1) and R = āx + 2y, find a, when P + Q + R = ax.

(b). From the sum of x2 ā y2 ā 1, y2 ā x2 ā 1 and 1 ā x2 ā y2 subtract ā (1 + y2).

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

(a) m3 + n3 + p3

(b) mn + np + pm

(c) m3 + n3 + p3 ā 3mnp

(d) m2n2 + n2p2 + p2m2