Math 12 Principles Final Exam: January 26 , 2011
B Cuthbertson
Name : _____________________________
Student Number: ______________________
Math Principles 12 final exam ::: Mr. B. Cuthbertson Name: ___________________-
1)Find the sum of the following infinite series:
5 + 2 + 0.8…
2) Evaluate:
3) Change to exponential form:
4) Solve:
a)
b)
5) A Population of wombats doubles every 9 years. How long will it take a population of 250 wombats to
become 800?
6) An Earthquake of Magnitude 4.6 is followed by an aftershock which is 1/30th as powerful as the
original. What was the Richter Magnitude of the aftershock?
7) Solve:
8) Graph: 9)
10) The area of a sector of a circle is 35 square meters. If the central angle (in Radians) of the sector is
, What is the arc length of the sector?
11) Convert to degrees measure the following angles:
a) Radians: _________
b) 30 Radians: _________
12) Give the general solution for:
13) Solve for the interval :
14) use an identity to evaluate:
15) The coldest day of the year (January 1st) in Narnia is 0 degrees. The hottest day is 182.5 days later
when it is usually 27 degrees. What temperature is it on Feb 20 th?
16) Prove:
17) Prove:
18) State the non-permissible vales of :
19) The First graph shows the function y = f(x). Complete the other graphs as specified.
20) A Spam filter is 96% effective. (It is correct 96% of the time). 75% of all Email traffic directed toward
a computer with this filter is spam. Given that a particular piece of mail gets through, what is the
probability it is spam?
21)A gumball machine holds 33 red balls, 26 white, and 90 others. What is the probability that the next
three balls out of the machine are not white?
22) Two pennies and a dime are dropped on the floor. Draw a tree diagram of all possible outcomes.
23)What is the probability of being dealt a 5 card poker hand containing three hearts and 2 black kings?
24)Fully Expand:
25) How many committees of 4 people, each with a different title can be made from a group of 18
people?
26) A goalie stops 89.9% of the shots he faces. What is the probability of him letting in fewer than 4
goals when he faces 35 shots?
27) How many ways can the letters f the word “JUXTAPOSITION” be arranged?