For real challenges, I shall post them separately and name the topic accordingly!

You may test your skills there

(i) Find the difference between the heights of the light-house and the building.

(ii) Find the distance between the light-house and the building.

2. Find the mean of the first n natural numbers.

3. Find the median of the following data:

71, 72, 73, 75, 76, 80, 134.

4. All aces, jacks and queens are removed from the deck of playing cards. One card is drawn at random from the remaining cards. Find the probability that the card is a king.

5. If the diameter of cross-section of a wire is decreased by 5%, how much percent would the length have to be increased so that the volume remains the same?

6. The radii of two circles are 19 centimeters and 9 centimeters respectively. Find the radius of the circle which has its circumference equal to the sum of the circumferences of the two circles.

7. (i) Using cos(A-B) = cosA cosB + sinA sinB, find the value of cos 15° .

(ii) Evaluate : cosec² 67° - tan² 23°

8. Find the area of a quadrant of a circle whose circumference is 22 centimeters.

9. Express cos 75° + cot 75° in terms of trignometric ratios of angle between 0° and 45°.

10. The length of a minute hand of a clock is 14 centimeters. Find the area swept by the minute hand in 15 minutes.

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