# Hello ! Welcome to your NTSE SAT - Mathematics

Instructions:

Time: 20:00 min                                                                                                          Full Marks: 60

1. There is negative marking of -1.00 for all incorrect answers chosen.
2. There is no deduction for NOT attempted question.
3. All questions carry equal marks and all 15 questions are of 4 marks each.
4. All Questions are compulsory.

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1. If sin x = cos y, x + y is equal to
2. A rhombus of side 5cm has two angles of 120. Its diagonals are
3. A wire of length 25 cm is bent so as to lie along the arc of a circle of diameter 100cm. The angle subtended at the centre by the arc is
4. The angle of a regular polygon of n sides, in the circular system, is k radians. k is equal to
5. The statement (sin x + sin y)2 > (sin x – sin y)2 is
6. If tan35tan55 = sin A, angle A is equal to
7.
8. The square root of (x2 + 4x + 4)(x2 + 6x + 9) is

9. The value of 12 +22 + 32+ ... + n2 is

10. The solution set of the inequality 8x - x2 -12 >= 0 : x belongs to N is
11. If f(x) = x+ 1, g(x) = 2x + 3 and h(x) = g(f(x)) evaluate h(1)
12. If x = (2t)/(1+t2) and y = (1-t2)/(1+t2) then x2 + y2 is equal to

13.
14. If f(x) = (sin x – cos x)2, the maximum value of f(x) is
15. 2(sin6x + cos6x) – 3(sin4x + cos4x) + 1 is equal to

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