Board Paper of Class 10 2012 Maths (SET 1)  Solutions
1. All questions are compulsory.
2. The question paper consists of 34 questions divided into four sections A, B, C and
D.
3. Section A contains 10 questions of 1 mark each, which are multiple choices type
questions, Section B contains 8 questions of 2 marks each, Section C contains 10
questions of 3 marks each, Section D contains 6 questions of 4 marks each.
4. There is no overall choice in the paper. However, internal choice is provided in one
question of 2 marks, 3 questions of 3 marks each and two questions of 4 marks each.
5. Use of calculators is not permitted.
 Question 1
 Question 2
If the n^{th} term of an A.P. is (2n + 1), then the sum of its first three terms is
A. 6n + 3
B. 15
C. 12
D. 21
VIEW SOLUTION
 Question 3
From a point Q, 13 cm away from the centre of a circle, the length of tangent PQ to the circle is 12 cm. The radius of the circle (in cm) is
A. 25
B.
C. 5
D. 1
VIEW SOLUTION
 Question 4
In Figure 1, AP, AQ and BC are tangents to the circle. If AB = 5 cm, AC = 6 cm and BC
= 4 cm, then the length of AP (in cm) is
A. 7.5
B. 15
C. 10
D. 9
VIEW SOLUTION
 Question 5
The circumference of a circle is 22 cm. The area of its quadrant (in cm^{2}) is
A.
B.
C.
D.
VIEW SOLUTION
 Question 6
A solid right circular cone is cut into two parts at the middle of its height by a plane parallel to its base. The ratio of the volume of the smaller cone to the whole cone is
A. 1 : 2
B. 1 : 4
C. 1 : 6
D. 1 : 8
VIEW SOLUTION
 Question 7
A kite is flying at a height of 30 m from the ground. The length of string from the kite to the ground is 60 m. Assuming that there is no slack in the string, the angle of elevation of the kite at the ground is
A. 45°
B. 30°
C. 60°
D. 90°
VIEW SOLUTION
 Question 8
 Question 9
In Figure 2, P (5, −3) and Q (3, y) are the points of trisection of the line segment joining A (7, −2) and B (1, −5). Then y equals
A. 2
B. 4
C. −4
D.
VIEW SOLUTION
 Question 10
Cards bearing numbers 2, 3, 4, ..., 11 are kept in a bag. A card is drawn at random from the bag. The probability of getting a card with a prime number is
A.
B.
C.
D.
VIEW SOLUTION

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