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## NTSE SAT Mathematics – 15 Questions in 15 Minutes

NTSE (National Talent Search Exam) for students is meant to identify and nurture talent. The NTSE exam is conducted every year at two levels: – Stage-I (State Level) and stage-II(National Level). About one thousand scholarships are awarded for different stages of education as follows:

• Scholarship of Rs. 1250/- per month for class XI to XII.

Generally, state level exam takes place in the month of November every year and notification come out in the month of September. The next level exam takes place in the month of May every year.

All students of Class X studying in recognized schools are eligible to appear for the stage-I examination. There will be no domicile restriction.

The examination will comprise these parts namely

• Mental Ability Test (MAT)
• Language Test (LT)
• Scholastic Ability Test (SAT)

#### For the preparation of such a prestigious exam, Team of Kailasha Foundation will bring a series of quizzes. In NTSE quiz series, this is the eighth quiz of Scholastic Ability Test under the head SAT in NTSE.

Attempt the quiz and find out your score.

Note: In this quiz, for every right answer your will be awarded 4 marks and for every wrong answer minus one mark will be awarded. You have 15 minutes to attempt the quiz.

## Welcome to NTSE SAT - Mathematics

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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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