(i) All questions are compulsory.
(ii) The question paper consists of 31 questions divided into four sections – A, B, C and D.
(iii) Section A contains 4 questions of 1 mark each, Section B contains 6 questions of 2 marks each, Section C contains 10 questions of 3 marks each and Section D contains 11 questions of 4 marks each.
(iv) Use of calculated is not permitted.
In Fig. 1, PA and PB are tangents to the circle with centre O such that ∠APB = 50°. Write the measure of ∠OAB.
- Q2VIEW SOLUTION
- Q3VIEW SOLUTION
- Q4VIEW SOLUTION
- Q5VIEW SOLUTION
- Q6VIEW SOLUTION
In Fig. 2, AB is the diameter of a circle with centre O and AT is a tangent. If ∠AOQ = 58°, find ∠ATQ.
- Q8VIEW SOLUTION
- Q9VIEW SOLUTION
- Q10VIEW SOLUTION
In Fig. 3, APB and AQO are semicircles, and AO = OB. If the perimeter of the figure is 40 cm, find the area of the shaded region.
A solid wooden toy is in the form of a hemisphere surrounded by a cone of same radius. The radius of hemisphere is 3.5 cm and the total wood used in the making of toy is . Find the height of the toy. Also, find the cost of painting the hemispherical part of the toy at the rate of Rs 10 per cm2.VIEW SOLUTION
In Fig. 4, from the top of a solid cone of height 12 cm and base radius 6 cm, a cone of height 4 cm is removed by a plane parallel to the base. Find the total surface area of the remaining solid.
In Fig. 5, from a cuboidal solid metallic block, of dimensions
15cm ✕ 10cm ✕ 5cm, a cylindrical hole of diameter 7 cm is drilled out. Find the surface area of the remaining block
The angle of elevation of the top of a building from the foot of the tower is 30° and the angle of elevation of the top of the tower from the foot of the building is 45°. If the tower is 30 m high, find the height of the building.VIEW SOLUTION
In Fig. 6, find the area of the shaded region [Use π = 3.14]
- Q17VIEW SOLUTION
All red face cards are removed from a pack of playing cards. The remaining cards were well shuffled and then a card is drawn at random from them. Find the probability that the drawn card isVIEW SOLUTION
(i) a red card
(ii) a face card
(iii) a card of clubs
- Q19VIEW SOLUTION
- Q20VIEW SOLUTION
- Q21VIEW SOLUTION
In Fig. 7, tangents PQ and PR are drawn from an external point P to a circle with centre O, such that ∠RPQ = 30°. A chord RS is drawn parallel to the tangent PQ. Find ∠RQS.
From a point P on the ground the angle of elevation of the top of a tower is 30° and that of the top of a flag staff fixed on the top of the tower, is 60°. If the length of the flag staff is 5 m, find the height of the tower.VIEW SOLUTION
Ramkali required Rs 2,500 after 12 weeks to send her daughter to school. She saved Rs 100 in the first week and increased her weekly saving by Rs 20 every week. Find whether she will be able to send her daughter to school after 12 weeks.
What value is generated in the above situation?VIEW SOLUTION
The numerator of a fraction is 3 less than its denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and original fraction is . Find the original fraction.VIEW SOLUTION
Water is flowing at the rate of 2.52 km/h through a cylindrical pipe into a cylindrical tank, the radius of whose base is 40 cm. If the increase in the level of water in the tank, in half an hour is 3.15 m, find the internal diameter of the pipe.VIEW SOLUTION
- Q27VIEW SOLUTION
- Q28VIEW SOLUTION
- Q29VIEW SOLUTION
Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.StepsVIEW SOLUTION
- Q31VIEW SOLUTION
Board Papers 2014, Board Paper Solutions 2014, Sample Papers for CBSE Board, CBSE Boards Previous Years Question Paper, Board Exam Solutions 2014, Board Exams Solutions Maths, Board Exams Solutions English, Board Exams Solutions Hindi, Board Exams Solutions Physics, Board Exams Solutions Chemistry, Board Exams Solutions Biology, Board Exams Solutions Economics, Board Exams Solutions Business Studies, Maths Board Papers Solutions, Science Board Paper Solutions, Economics Board Paper Solutions, English Board Papers Solutions, Physics Board Paper Solutions, Chemistry Board Paper Solutions, Hindi Board Paper Solutions, Political Science Board Paper Solutions, Answers of Previous Year Board Papers, Delhi Board Paper Solutions, All India Board Papers Solutions, Abroad/Foreign Board Paper Solutions, cbse class 12 board papers, Cbse board papers with solutions, CBSE solved Board Papers, ssc board papers.