CBSE Set Q3 Maths Class X 1997 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.

Q4) Reduce the following to the lowest terms :
(x - 3)(x² - 5x + 4)/(x - 4)(x² - 2x - 3)  (Marks 2)

Q5) Find the value of k such that the sum of the squares of the roots of the quadratic equation x² - 8x + k = 0, is 40.  (Marks 2)

Q8) Show that
sec⁴ - sec² = tan⁴ + tan²    (Marks 2)

Q15) If is the mean of tennatural numbers x₁, x₂, x₃, ..., x₁₀ , show that
(x₁ + ) + (x₂ + ) + (x₃ + ) + ... + (x₁₀ + ) = 0   (Marks 2)

Q19) An iron pillar has some part in the form of a right circular cylinder and remaining in the form of a right circular cone. The radius of the base of each of cone and cylinder is 8 cm. The cylindrical part is 240 cm high and the conical part is 36 cm high. Find the weight of the pillar if the cu.cm of iron weighs 7.8 grams.  (Marks 4)

Q21) Rs. 6,500 were divided equally among a certain number of persons. Had there been 15 more persons, each would have got Rs. 30 less. Find the original number of persons.  (Marks 4)