Friday, August 29, 2014

food for thought

hello everyone, if you are from India then I wish you happy Ganesh Chaturthi.

I was toying with the idea of handpicking video tutorials that qualify under the following heading:

  1. content 
  2. clarity of concept
  3. presentation
  4. throw and accent of the speaker
  5. the pace at which the subject unfolds
  6. examples to elucidate the point.
Although it might sound very innocuous, but it turns out to be very time taking given the vast mine of data available on the internet.

I feel it will help the parents by fulfilling manifold purposes, namely;
  • know that the content is reliable
  • children don't have to mine through the youtube endlessly, so that would save a lot of time.
  • it will increase the effectiveness of learning and at the same time reduce the load (because most videos are for 7 to 10 mins duration)
kindly share your thought in this matter.

happy reading

shubhro

profit and loss

A shopkeeper buys an article at a rebate of 20% on the printed price. He spends Rs 100 on the transportation of the article. After charging a sales tax of 6% on the printed price, he sells the article at Rs 1060. Find the profit percentage.

quadratic equation

in a positive fraction, the denominator is greater than the numerator by 3. If 1 is subtracted from both the numerator and denominator, the fraction is decreased by 1/14. Find the fraction.


time and work

Pipe A can fill a tank in 3 hours less than pipe B. they together can fill the tank in 6 hours and 40 mins. find the time each tank will take to fill the tank.


distance and speed

The speed of a boat in still water is 11 km/hr. It can go 12 km upstream and return downstream to the original point in 2 hours and 45 mins. Find the speed of the stream.

profit and loss

By selling an article for Rs 24 the profit percentage made is equal to the cost price of the article. Find the cost price of the article.

Answer: Rs 20.

remainder theorem

Without actually dividing prove that x4 + 2x3 – 2x2 + 2x – 3 is exactly divisible by x2 + 2x – 3 

ratio and proportion








ratio and proportion



coordinate geometry

Show that the lines x = 0 and y = 0 trisect the line segment formed by joining the points (-10, -4) and (5,8). Find the point of trisection.

trigonometry

If A, B and C are interior angles of a triangle ABC, show Tan (A + B – C)/2  = cot C

circle

In the diagram given below, if AD = DC and AB = AC, then show that AP = 1/4 AB

 

















Monday, August 25, 2014

geometry

ABCD is a square. With centre B and C and radius equal to the side of the square, circles are drawn to cut one another at E inside the square. What is the measure of angle BDE?


geometry

ABCD is a square. P is a point in the square such that triangle ABP is equilateral. What is the measure of angle PCB