Roll No.
P
W
SAMPLE QUESTION PAPER-1
MATHEMATICS
Time allowed : 3 hours Maximum Marks : 80
NOTE:
(i) Please check that this question paper contains 38 questions.
(ii) Please write down the Serial Number of the question in the answer-book before attempting it.
(iii) 15 minutes time has been allotted to read this question paper. The students will read the question paper only and will not
write any answer on the answer-book during this period.
General Instructions:
Read the following instructions carefully and follow them:
(i) This Question Paper has 5 Sections A, B, C, D, and E.
(ii) Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
(iii) Section B has 5 Very Short answer (VSA) type questions carrying 2 marks each.
(iv) Section C has 6 Short Answer (SA) type questions carrying 3 marks each.
(v) Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
(vi) Section E has 3 source based/Case Based/passage based/integrated units of assessment (4 marks each) with sub-parts of the
values of 1,1 and 2 marks each respectively.
(vii) All Questions are compulsory. However, an internal choice in 2 Questions of 2 marks, 2 Questions of 3 marks and 2 Questions
of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
(viii) Draw neat figures wherever required. Take π = 22/7 wherever required if not Stated.
, SECTION - A
Q 1-20 are multiple choice questions. Each question is of 1 mark.
1. The rational numbers between 2 and 3 is
(a) 2× 3 (b) 5 (c) 4 (d) 61/4
2. The degree of the zero polynomial is
(a) 0 (b) 2 (c) 1 (d) not defined
3. For which linear equation x = 2, y = 5 is a solution?
(a) 5x + y = 7 (b) x + y = 7 (c) 5x + 2y = 7 (d) x + 2y = 7
4. The point whose ordinate is 3 and which lies on the y-axis is
(a) (3,3) (b) (3, 0) (c) (1, 3) (d) (0, 3)
5. In fig ABCD is a parallelogram. If ∠DAB = 60° and ∠DBC = 80° then ∠CDB is
D C
60° 80°
A B
(a) 60° (b) 40° (c) 70° (d) 80°
6. If AB = QR, BC = PR and CA = PQ, then
(a) ∆ ABC ≅ ∆ PQR (b) ∆ CBA ≅ ∆ PRQ (c) ∆ BAC ≅ ∆ RPQ (d) ∆ PQR ≅ ∆ BCA
7. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
(a) PQRS is a rectangle (b) PQRS is a parallelogram
(c) diagonals of PQRS are perpendicular (d) diagonals of PQRS are equal.
8. In the given figure, O is the centre of the circle. If ∠CAB = 40° and ∠CBA = 110°, the value of x is
O C
x
110°
40°
A B
(a) 55° (b) 80° (c) 50° (d) 60°
9. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is
(a) 1322 cm2 (b) 1311 cm2 (c) 1344 cm2 (d) 1392 cm2
10. If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
(a) 1 : 4 (b) 1 : 2 (c) 1 : 16 (d) 1 : 8
11. The class mark of the class 90-120 is
(a) 90 (b) 105 (c) 115 (d) 120
12. The product of any two irrational numbers is
(a) always an irrational number (b) always a rational number
(c) always an integer (d) sometimes rational, sometimes irrational
72 MATHEMATICS P
W
P
W
SAMPLE QUESTION PAPER-1
MATHEMATICS
Time allowed : 3 hours Maximum Marks : 80
NOTE:
(i) Please check that this question paper contains 38 questions.
(ii) Please write down the Serial Number of the question in the answer-book before attempting it.
(iii) 15 minutes time has been allotted to read this question paper. The students will read the question paper only and will not
write any answer on the answer-book during this period.
General Instructions:
Read the following instructions carefully and follow them:
(i) This Question Paper has 5 Sections A, B, C, D, and E.
(ii) Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each.
(iii) Section B has 5 Very Short answer (VSA) type questions carrying 2 marks each.
(iv) Section C has 6 Short Answer (SA) type questions carrying 3 marks each.
(v) Section D has 4 Long Answer (LA) type questions carrying 5 marks each.
(vi) Section E has 3 source based/Case Based/passage based/integrated units of assessment (4 marks each) with sub-parts of the
values of 1,1 and 2 marks each respectively.
(vii) All Questions are compulsory. However, an internal choice in 2 Questions of 2 marks, 2 Questions of 3 marks and 2 Questions
of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E.
(viii) Draw neat figures wherever required. Take π = 22/7 wherever required if not Stated.
, SECTION - A
Q 1-20 are multiple choice questions. Each question is of 1 mark.
1. The rational numbers between 2 and 3 is
(a) 2× 3 (b) 5 (c) 4 (d) 61/4
2. The degree of the zero polynomial is
(a) 0 (b) 2 (c) 1 (d) not defined
3. For which linear equation x = 2, y = 5 is a solution?
(a) 5x + y = 7 (b) x + y = 7 (c) 5x + 2y = 7 (d) x + 2y = 7
4. The point whose ordinate is 3 and which lies on the y-axis is
(a) (3,3) (b) (3, 0) (c) (1, 3) (d) (0, 3)
5. In fig ABCD is a parallelogram. If ∠DAB = 60° and ∠DBC = 80° then ∠CDB is
D C
60° 80°
A B
(a) 60° (b) 40° (c) 70° (d) 80°
6. If AB = QR, BC = PR and CA = PQ, then
(a) ∆ ABC ≅ ∆ PQR (b) ∆ CBA ≅ ∆ PRQ (c) ∆ BAC ≅ ∆ RPQ (d) ∆ PQR ≅ ∆ BCA
7. The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle, if
(a) PQRS is a rectangle (b) PQRS is a parallelogram
(c) diagonals of PQRS are perpendicular (d) diagonals of PQRS are equal.
8. In the given figure, O is the centre of the circle. If ∠CAB = 40° and ∠CBA = 110°, the value of x is
O C
x
110°
40°
A B
(a) 55° (b) 80° (c) 50° (d) 60°
9. The sides of a triangle are 56 cm, 60 cm and 52 cm long. Then the area of the triangle is
(a) 1322 cm2 (b) 1311 cm2 (c) 1344 cm2 (d) 1392 cm2
10. If the ratio of volumes of two spheres is 1 : 8, then the ratio of their surface areas is
(a) 1 : 4 (b) 1 : 2 (c) 1 : 16 (d) 1 : 8
11. The class mark of the class 90-120 is
(a) 90 (b) 105 (c) 115 (d) 120
12. The product of any two irrational numbers is
(a) always an irrational number (b) always a rational number
(c) always an integer (d) sometimes rational, sometimes irrational
72 MATHEMATICS P
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