CBSE Set Q3 Maths Class X 1999 Sample Test Papers For Class 10th for students online

Time allowed : 3 hours
Maximum Marks : 100

General Instructions :

(i) Question number 1 to 15 carry 2 marks each.
(ii) Question number 16 to 25 carry 4 marks each.
(iii) Question number 26 to 30 carry 6 marks each.
(iv) Write the serial number of the question before attempting it.
(v) Use of logarithmic and trignometric tables is permitted. Use of calculator is not permitted.

Q1) Evaluate without using trignometric table:
cos 35^o/sin 55^o + sin 11^o/cos 79^o - cos 28^o cosec 62^o  (Marks 2)

Q6) Sarla purchased a washing machine for Rs. 13,500 which includes the amount of sales tax. If the sales tax charged is 8% of the list price, find the list price of the washing machine. (Marks 2)

Q10) Find the G.C.D. of 12(9x² - 4) and 18(6x² - 5x - 6)  (Marks 2)

Q14) In the figure, determine the length of the altitude AD of an isoceles triangle ABC of side 2a, 2a and a.  (Marks 2)

Q24) If PAB is a secant to a circle intersecting the circle at A and B and PT is a tangent, then PT² = PA . PB. Prove. (Marks 4)

Q25) If two sides of a cyclic quadrilateral are parallel, prove that (i) the remaining two sides are equal and (ii) both the diagonals are equal.  (Marks 4)

Q26) An aeroplane when 3000 m high passes vertically above another aeroplane at an instance when their angle of elevation at the same observation point are 60^o and 45^o respectively. How many metres higher is one than the other.  (Marks 6)

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