Sound of a Striking Axe

              Sound is said to travel in air at about 1100 feet per second. A man hears the axe strike the tree 11/5 seconds after he sees it strike the tree. How far would you say the man is from the wood chopper?

Answer:  2420 Feet: 1100 ft   / 1 sec   = x ft / (11/5) sec Then x = 2420

Simpson’s Rule

To what use is Simpson’s rule put? 

Answer:   Approximating an area: Simpson’s rule is put to use when the area is divided into any even number of paralle! Strips of equal breadth.

One Word Answer:

Can you tell in one word the name of the following suffix?

‘The medians of a triangle have this point in common’. 

Answer:     Centroid:
 The three times from a vertex to the mid-point of the opposite side (medians) of a triangle pass through a common point called the Centroid of the triangle. The term is derived from ‘centre ‘and ‘Oid’ the centre of gravity of a triangular lamina is at this point.

Algebraic Language

Can you change the following statement into algebraic language?

‘A certain number is equal to twice another number diminished by 5’.

Answer:  p = 2q – 5

Throwing the Dice

 We have two dice one red and one black. In how, many different ways can they be thrown?

Answer:  36: The first die may fall in six different ways. With each of these ways there are 6 possibilities for the second die.

Climbing problem of Creepers

                   Two creepers, one jasmine and the other rose, are both climbing up and round a cylindrical tree trunk. The jasmine twists clockwise and the rose anticlockwise, and they both start at the same point on the ground. Before they reach the first branch on the tree the jasmine has made 5 complete twists and the rose 3 twists. Not counting the bottom and the top, how many times do they cross?

Answer:

 Seven: The best way to find the solution to this problem is to make a practical experiment.

Make a vertical cut in the tree trunk and peel off the trunk to form a long rectangle. Across the rectangle draw 5 parallel lines to represent the jasmine and another parallel line for the rose. Then you will be able to see the seven crossing positions.

Name the Circle

Can you name the circle which is implied by ‘The circle which touches all sides of a polygon’?

Answer: Inscribed: In a polygon when each side is tangential to a circle, the circle is said to be inscribed in a polygon.

                          The inscribed circle is obtained by bisecting the angles of the triangle, where the bisectors pass through a common point which is the centre of the inscribed circle.