KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD–32
PRACTICE PAPER 02 - CHAPTER 02 POLYNOMIALS (2023-24)
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : X DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. If one of the zeroes of the quadratic polynomial (k – 1)x2 + kx + 1 is –3, then the value of k is
(a) 4/3 (b) -4/3 (c) 2/3 (d) -2/3
2. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then
(a) a = –7, b = –1 (b) a = 5, b = –1 (c) a = 2, b = –6 (d) a = 0, b = –6
3. Zeroes of a polynomial p(x) can be determined graphically. No. of zeroes of a polynomial is
equal to no. of points where the graph of polynomial
(a) intersects y-axis (b) intersects x-axis
(c) intersects y-axis or intersects x-axis (d) none of these
4. If graph of a polynomial p(x) does not intersects the x-axis but intersects y-axis in one point, then
no. of zeroes of the polynomial is equal to
(a) 0 (b) 1 (c) 0 or 1 (d) none of these
5. If p(x) = ax2 + bx + c and a + b + c = 0, then one zero is
(a) -b/a (b) c/a (c) b/c (d) none of these
6. The number of polynomials having zeroes as –2 and 5 is
(a) 1 (b) 2 (c) 3 (d) more than 3
7. The quadratic polynomial, the sum of whose zeroes is –5 and their product is 6, is
(a) x2 + 5x + 6 (b) x2 – 5x + 6 (c) x2 – 5x – 6 (d) –x2 + 5x + 6
8. If zeroes of p(x) = 2x2 – 7x + k are reciprocal of each other, then value of k is
(a) 1 (b) 2 (c) 3 (d) 4
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of reason
(R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of
assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
9. Assertion (A): x2 + 4x + 5 has two real zeroes.
Reason (R): A quadratic polynomial can have at the most two zeroes.
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
PRACTICE PAPER 02 - CHAPTER 02 POLYNOMIALS (2023-24)
SUBJECT: MATHEMATICS MAX. MARKS : 40
CLASS : X DURATION : 1½ hrs
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 20 questions divided into five Sections A, B, C, D and E.
(iii). Section A comprises of 10 MCQs of 1 mark each. Section B comprises of 4 questions of 2 marks
each. Section C comprises of 3 questions of 3 marks each. Section D comprises of 1 question of 5
marks each and Section E comprises of 2 Case Study Based Questions of 4 marks each.
(iv). There is no overall choice.
(v). Use of Calculators is not permitted
SECTION – A
Questions 1 to 10 carry 1 mark each.
1. If one of the zeroes of the quadratic polynomial (k – 1)x2 + kx + 1 is –3, then the value of k is
(a) 4/3 (b) -4/3 (c) 2/3 (d) -2/3
2. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then
(a) a = –7, b = –1 (b) a = 5, b = –1 (c) a = 2, b = –6 (d) a = 0, b = –6
3. Zeroes of a polynomial p(x) can be determined graphically. No. of zeroes of a polynomial is
equal to no. of points where the graph of polynomial
(a) intersects y-axis (b) intersects x-axis
(c) intersects y-axis or intersects x-axis (d) none of these
4. If graph of a polynomial p(x) does not intersects the x-axis but intersects y-axis in one point, then
no. of zeroes of the polynomial is equal to
(a) 0 (b) 1 (c) 0 or 1 (d) none of these
5. If p(x) = ax2 + bx + c and a + b + c = 0, then one zero is
(a) -b/a (b) c/a (c) b/c (d) none of these
6. The number of polynomials having zeroes as –2 and 5 is
(a) 1 (b) 2 (c) 3 (d) more than 3
7. The quadratic polynomial, the sum of whose zeroes is –5 and their product is 6, is
(a) x2 + 5x + 6 (b) x2 – 5x + 6 (c) x2 – 5x – 6 (d) –x2 + 5x + 6
8. If zeroes of p(x) = 2x2 – 7x + k are reciprocal of each other, then value of k is
(a) 1 (b) 2 (c) 3 (d) 4
In the following questions 9 and 10, a statement of assertion (A) is followed by a statement of reason
(R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of
assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of
assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
9. Assertion (A): x2 + 4x + 5 has two real zeroes.
Reason (R): A quadratic polynomial can have at the most two zeroes.
Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
