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Question Bank : Age Group 1415 : X1. State Thales theorem and prove it. 3. Prove that any four vertices of a regular pentagon are concyclic. 4. If , show that . 5. Find X and Y if and . 6. Find the Standard Deviation of the following: C.I. 010 1020 2030 3040 f 3 4 2 5 7. A number is selcted at random from 40 to 80. Find the probability that it is divisible by 6 or 9. 8. Prove the identity: . 9. Find the area of an isosceles triangle with base 10 cm and vertical angle 47°. 10. The angle of elevation of a jet plane from a point P on the ground is 60°. After 15 seconds, the angle of elevation changes to 30°. If the jet is flying at the speed of 720 km/hour, find the height at which the jet is flying. Character is who you are when no one is looking. 