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Shelley saw a wounded dog

He brought it home

He loved .the dog

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The dog too __________________

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________________ to trace the owner

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One day , a lady ------------------------------

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The dog’s real name ______________

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The dog had to be given back, as 3

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Savings10% Food 30%

Rent 30%

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Sample Question Paper - Class - X MATHEMATICS

Time: 2.30 Hrs.] [Maximum Marks: 100 General Instructions: (i)This question paper consists of four sections. Read the note carefully under each Section before answering them. (ii) The roughwork should be shown at the bottom of the pages of the Answer book. (iii) Use of Calculator and electronic devices not permitted. SECTION – A Note: (i) Answer all the 15 questions (ii) Choose the correct answer in each question. Each of these questions contains four options with just one correct option (iii) Each question carries One mark 15 × 1 = 15 1. Let A = { 1, 3, 4, 7, 11 }, B = {–1, 1, 2, 5, 7, 9 } and f : A " B be given by f = { (1, –1), (3, 2), (4, 1), (7, 5), (11, 9) }. Then f is (A) one-one (B) onto (C) bijective (D) not a function 2. The common ratio of the G.P 2 , 6 , 18 , 54 g is 5 25 125 625 (B) 5 (C) 3 (D) 4 (A) 2 5 5 5 a4 3 , then the 13th term of the A.P. is 3. If a1, a2, a3, g are in A.P. such that = a7 2 3 (B) 0 (C) 12a1 (D) 14a1 (A) 2 4. The LCM of 6x2 y, 9x2 yz, 12x2 y2 z is (A) 36x2 y2 z (B) 48xy2 z2 2

(C) 96x2 y2 z2

(D) 72xy2 z

5. If b = a + c , then the equation ax + bx + c = 0 has (A) real roots (B) no roots (C) equal roots 1 1 6. If A # c m = ^ 1 2 h then the order of A is 0 2 (A) 2 # 1 (B) 2 # 2

(D) no real roots

(C) 1 # 2

(D) 3 # 2

7. The slope of the straight line 7y - 2x = 11 is equal to (A) - 7 2 (B) 7 2 (C) 2 7 (D) - 2 7

8. The perimeter of a triangle formed by the points (0, 0), (1, 0), (0, 1) is (A) 2 (B) 2 (C) 2+ 2 (D) 2– 2

9. In 9 PQR, RS is the bisector of +R . If PQ = 6 cm, QR = 8 cm, RP = 4 cm then PS is equal to P

(A) 2 cm 10 (C) 3 cm

(B) 4 cm (D) 6 cm

Q

6cm S

4cm R

8cm

12

10. Chords AB and CD cut at P inside the circle; If AB = 7, AP = 4, CP = 2, then CD = (A) 4 (B) 8 (C) 6 (D) 10

24. A ladder leaning against a vertical wall, makes an angle of 60c with the ground. The foot of the ladder is 3.5 m away from the wall. Find the length of the ladder. sin i cos i 25. Prove the identity cosec i + sec i = 1 26. A right circular cylinder has radius of 14 cm and height of 8 cm . Find its curved surface area. 27. The circumference of the base of a 12 m high wooden solid cone is 44 m. Find the volume.

11. A man is 28.5 m away from a tower. His eye level above the ground is 1.5 m. The angle of elevation of the tower from his eyes is 45c. Then the height of the tower is (A) 30 m 12. 1 = tan i + cot i (A) sin i + cos i (B) sin i cos i (C) sin i - cos i (D) cosec i + cot i (B) 27.5 m (C) 28.5 m (D) 27 m

13. If the total surface area of a solid hemisphere is 12r cm2 then its curved surface area is equal to (A) 6r cm2 (B) 24r cm2 (C) 36r cm2 (D) 8r cm2

29. Two coins are tossed together. What is the probability of getting at most one head. 30. (a) Simplify. 6x2 - 54 x2 + 7x + 12 [OR]

(A) 42

(B) 25

(C) 28

(D) 48 (b) Show that the lines 2y = 4x + 3 and x + 2y = 10 are perpendicular.

15. If A and B are mutually exclusive events and S is the sample space such that P (A) = 1 P (B) and 3 S = A , B , then P (A) = (A) 1 4 (B) 1 2 (C) 3 4 (D) 3 8

SECTION – B Note: (i) Answer 10 questions (ii) Answer any 9 questions from the first 14 questions. Question No. 30 is Compulsory. (iii) Each question carries Two marks 10 × 2 = 20 16. If A = {4, 6, 7, 8, 9}, B = {2, 4, 6} and C = {1, 2, 3, 4, 5, 6} A , ^ B + Ch.

SECTION – C Note: (i) Answer 9 questions...

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