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Counting Principle
TVs
Crowd Estimates
Check Digits
Weighted Averages
100

We can use the counting principle to determine the total number of outcomes when given different options.  Another way to accomplish this would be to draw one of these.

What is a tree diagram?

100
A TV that measures 40" by 22.5" would be advertised as this size.
What is 45.9" (or 46")?
100
This is the number of square feet to allow per person in a 100 square foot room if each person needs 2.5 square feet.
What is 40 sq ft.
100
When calculating a check digit for credit cards or UPC numbers, the sum must end in this number.
What is 0?
100
If all even numbers have a weight of 3, and all odd numbers have a weight of 4, what is the sum of these numbers: 4, 3, 6, 2, 7, 9
What is 112?
200

A person has a 3 digit lock code and can choose any digit for the password.  How many different passwords can be created?

What is 1000?

200
The dimensions of a new, 16:9, TV that is advertised as being 52" would be approximately this.
What is 45.3" x 25.5"?
200
This is how many people can fit in a "mosh pit" that is 15x20 feet, and the people need only 2 square feet per person.
What is 150 people.
200
Is this UPC code valid?: 050505 723805
What is YES.
200
If tests are weighted at 70% and daily grades are weighted at 30%, what would your final average be with the following grades? Tests: 96%, 97%, 93%, 91% Daily Grades: 71%, 97%, 92%, 100%
What is approximately 93%?
300

A student in the lunch line has a choice of 3 sandwiches, 5 packs of chips, 3 fruits (banana, apple, or orange), and 3 drinks.   How many different lunch combinations could there be?

What is 135?

300
If a movie theater is installing a new, 1.85:1 screen that is 40 feet wide, it would be this tall.
What is 21.6 feet?
300
Because fire code requires 15 sq. ft. per person in an event space, a wedding reception for 200 people would require this many square feet.
What is 3000 sq. ft.?
300
Is this credit card number valid?: 4128 0012 4389 0110 Remember, multiply 2(sum of all odd digits) + the amount of odd digits greater than 4 + (sum of all even digits)
What is NO
300
With this grading system, and the following grades, what would your final grade be? Your grades for each are in parentheses. System: Test average: 40% (Tests: 84) Final exam grade: 25% (Final exam: 68) Homework: 25% (Homework: 90) Participation: 10% (Participation: 95)
What is 82.6%?
400

A seven digit telephone number is of the form ABC-DEFG.   In one state, the digit A is restricted to any number except 0, 1, or 5.  The digits B and C can be any number between 1 and 9.  And digits DEFG have no restrictions.  How many different telephone numbers are possible?

What is 5,670,000?

400
On a 4:3 aspect ration tv with screen size of 65, what are the width and height?
What is width: 52, height: 39
400
The new construction being planned for DHS includes a new media center. Regulations require media centers to have 2.88 sq. ft. per student in the school. If the projected enrollment is 1800 students, this is how many square feet the media center must include.
What is 5184 sq. ft.?
400
This is the check digit needed to make this credit card number valid: 4162 0012 3456 789d. Remember, multiply 2(sum of all odd digits) + the amount of odd digits greater than 4 + (sum of all even digits)
What is d = 3
400
With this grading system, and the following grades, what would your final grade be? YOUR GRADES System: Test average: 40% Tests: 85 Final exam grade: 25% Final exam: 84 Homework: 25% Homework: 90 Participation: 10% Participation: 95
What is 87%?
500

A website requires users to set up a passcode that consists of 5 letters followed by 3 numbers.  Adjacent letters cannot repeat, and the only restriction on numbers is that they cannot all be the same.  For example, you could choose "ABABC112" but not "AABCC111".

What is 10,054,687,500?


26x25x25x25x25  x  [(10x10x10)-10]

500
If you have a TV with aspect ratio of 16:9 and the TV is 52", what are the width and height of the TV?
What is width: 45.28 inches, height: 25.47 inches
500
A new arena has a floor area that measures 120 ft x 90 ft. This is the number of people that could fit in this area if each person takes up 2.5 square feet.
What is 4320 people?
500
This is the check digit for the UPC code: 381370 09213d.
What is d = 1?
500
With this grading system, you wanting an 85 in the course, what do you need to get on your final exam? YOUR GRADES System: Test average: 40% Tests: 80 Final exam grade: 25% Final exam: ??? Homework: 25% Homework: 90 Participation: 10% Participation: 95
What is 84%?