REVISION TEST_24.08.2017

Class X                 Mathematics revision test               M.M-15

Section-A                                 3 x 2 = 6

1. Use Euclid’s division algorithm to find the HCF of 4052 and 12576.

2. In    OPQ right angled at P, OP=7 cm and OQ – PQ = 1 cm,

    Determine the value of Sin Q,  Tan O. 

3. Prove that ü5 is irrational number.

Section-B                                3 x 3 = 9

4. Use Euclid’s division lemma to show that the cube of any positive

     integer is of the form 9m, 9m+1 or 9m+8

5. Prove that Sec⁴ A – Sec²A = Tan⁴ A + Tan² A

6. A straight highway leads to the foot of a tower. A man standing at

    the top of the tower observes a car at an angle of depression of  

   30⁰, which is approaching the foot of the tower with a uniform

   speed. Six second later, the angle of depression of the car is found

   to be 60⁰. Find the time taken by the car to reach the foot of the

   tower from this point.

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