Sunday, February 6, 2011

February 6, 2011

  • Dr. A. for the sleepover party teased his friends. While they were sleeping, he put a pink sticker on the forehead of all of his friends. When they woke up, they all started laughing looking at each other! Then suddenly Mr. B stopped laughing - Why?
  • How can we find the surface area of a tetrahedron whose sides are of length 1. What about an octahedron? What about their volumes?
  • Mr A. has two types of cards in his pocket. One card is red on both the sides and other one has red on one side and green on the other side. He takes a card out - and sees that one side is red - what are the chances that the other side is red as well? (50% is not the right answer BTW)
  • How heavy is the water mattress? Recall that Queen mattress dimensions are 152x200x20 cms and 1 cubic meter of water weighs 1000Kilos.
  • How to measure volume of a stone? Suppose you have a beaker (which is a cylinder). Lets say you fill the beaker of radius 6cms with water, and the height of the water in the beaker reads 14.2 cms.  Now gently drop the stone in the beaker and water rises to 18.7 cms. What is the volume of the stone? 
  • Next set of questions are from Grade 9 EQAO testing
  1. If x=1/3, then what is 6x^2.
  2. Typically car sales (and many other sales)  are paid a fixed amount per week and certain percentage of their sales. Lets say that this person earns $500/week and 2.5% of the sales. If  the total payment for the week was $700, then how much were the sales in that week?
  3. What is the sum of the interior angles of a regular pentagon; hexagon; 12 sided figures?
  4. You ordered CDs from your favourite store online. Each CD costs $11.44 + Tax. Total you paid is $90.49 which includes HST.  How many CDs did you buy?

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