Counting Principle
Estimating Large Numbers
Aspect Ratio
Weighted Averages
100
How many different outfits can you make with 4 shirts, 5 pairs of pants, and 4 shoes?
What is 80 outfits ?
100
A race car driver has 28 cars. Each car has 4 tires. He has to replace all the tires on the cars. He has 15 tires right now. Estimate the total number of tires he needs to buy.
What is 97 tires?
100
In the city of Atlanta, there are a lot of large corporations. There also happen to be a lot of small local businesses. The ratio of large corporations to small businesses is 15 to 3. If there are 500 corporations in the area, about how many small businesses are there?
What is 100?
100
Timothy's average score on the first four tests was 76. On the next 5 tests, his average score was 85. What was his average score on all the 9 tests?
What is 81?
200
A new polo shirt is released in 4 different colors and 5 different sizes. How many different color and size combinations are available to the public?
What is 20?
200
A student was conducting a study to determine how many pages he would need for the book he is writing. So, he found that the following number of words fit on each type of the following papers using an 11 point font. Calculate the average words per inches squared.
What is 8.6 words/in^2?
200
3/12 and 5/x are equivalent ratios. Solve for x.
What is 20?
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 license plate consists of three letters and four numbers in the state of Virginia. If letters and numbers can be repeated, how many possible license plates can be made?
What is 175,760,000
300
A student was conducting a study to determine how many loose Navel oranges that could be packed in different box sizes at the local farmer’s market. The average navel orange had a diameter of 3.2 inches. How many oranges will fit in the box.
What is 40 oranges?
300
A student sketched some art on an 8.5 inch x 11 inch piece of paper. He wants to resize it to fit an 4 inch x 6 inch frame. What percent of the original sketch was still able to be included in the frame?
What is 86.2%?
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 particular state, the digit ‘A’ is restricted to any number between 1 and 9. The digits B and C are restricted to any number between 2 and 9. The digits D,E,F, and G have no restriction. How many seven digit phone numbers are possible with these restrictions?
What is 5,760,000?
400
Calculate the volume of the figure below.
What is 192pi
400
Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
What is 9.4 miles?
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
You are buying a new car. There are 2 body styles, 5 colors, and 3 models. How many total choices
What is 30 choices?
500
Calculate the volume of the following.
What is 432 feet cubed
500
Television sizes are usually described by the length of their diagonal measure. What would be the listed size of the TV if the length is 26in and width 45in.?
What is 52in TV?
500
Samantha works two jobs. She works at a retail store for 7 hours per day for $8.25 per hour. In the evening, she works at a restaurant as a hostess for 5 hours for $14.50 per hour. How much does she make on average per hour for the day?
What is $10.85