Estimating large numbers/ counting principle

Estimating large numbers/ counting principle

lets get ready to count

Multiple Choice

12 people fit comfortably in a 5 feet by 5 feet area. Use this value to estimate the size of a crowd that is 25 feet deep on both sides of the street along a 3-mile section of a parade route. (Hint: 1 mile = 5,280 ft)

• 264,000 people

• 380,160 people

• 158,400 people

• 2,534 people

Multiple Choice

One rule of thumb for estimating crowds is that each person occupies 2.5 square feet. Use this rule to estimate the size of the crowd watching a concert in an area that is 150 feet long and 240 feet wide.

• 156 people

• 35,031 people

• 5,760 people

• 14,400 people

Multiple Choice

At a recent “Dog walk” at UGA, the crowd was about ½ of a mile long, 6 feet deep on both sides of the street. If we determined that 11 people could fit comfortably in a 5 ft x 5 ft square, how many people were at the “Dog walk”?

• 13939

• 27878

• 6969

• 6970

Multiple Choice

The Social Security number contains nine digits, if the form of 000-00-0000. How many different Social Security numbers can be formed using any numerals from 0 to 9?

• 9,000,000,000
• 81
• 387,420,489
• 1,000,000,000

Multiple Choice

How many area codes of the form (XYZ)are possible if the digits X and Y can be any number 1-9 and digit Z can be any number 2-9 ?

• 1000
• 729
• 512
• 648

Multiple Choice

Social Security numbers are of the form XYZ – MN – ABCD. 

The first three digits of a Social Security Card (XYZ) are referred to as the area number.  The number is associated with where you registered for your social security card.  X is a number  1 – 7.  Y and Z can be any number 0 – 9.  Also the area code 666 has never been used.  How many area code numbers are possible?

• 666
• 679
• 699
• 669

Multiple Choice

How many feet are in 1 mile?

• 10
• 5400
• 5280
• 5000

Multiple Choice

Estimate the size of a crowd at a parade that is 7 ft deep on both sides and 5280 ft long, using the 2.5 sq. ft per person rule.

• 14784
• 29568
• 36960
• 92400

Multiple Choice

Use a Fermi Estimate to approximate the answer to the question below using the provided assumptions.
How much would it cost in gas money to drive across the US?
-The US is about 3000 miles across
-Gas cost $2.00 per gallon
-The car gets 25 miles per gallon

• $120.00
• $190.00
• $275.00
• $240.00

Multiple Choice

Use a Fermi Estimate to approximate the answer to the question below using the provided assumptions.
How much air does someone breath in each day?
-It takes 5 breaths to breath 1 liter of air
-We breath on average 10 times per minute

• 14,400 Liters
• 2,880 Liters
• 720,000 Liters
• 7,200 Liters

Multiple Choice

A football field is 360 feet long and 160 feet wide.  The principal is making an evacuation plan for the school.  How many students can the principal expect to fit on the football field in an emergency?  (Remember the expected floor space a standing person occupies is about 2.5 sq feet)

• 20340
• 20430
• 23040
• 24030

Multiple Choice

If a car is 13.5 feet long and there are 3 feet between each car, how many cars can be on a 1-mile section of the highway?

• 640

• 160

• 320

• 5280

Multiple Choice

Student ID number consists of 6 characters. The first four characters can be any number without restrictions. The last two characters are letters and cannot repeat. How many student IDs are possible? 

• 6,760,000
• 4,738,500
• 6,500,000

Multiple Select

Select ALL of the units you could convert ounces to.

• feet

• pounds

• seconds

• hours

• kilograms

Multiple Select

Select ALL of the units you could convert minutes to.

• feet

• miles

• seconds

• hours

• kilograms

Multiple Select

Select ALL of the units you could convert meters to.

• feet

• miles

• seconds

• hours

• kilograms

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

Multiple Choice

A particular model at a New Car Dealership comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

• 180

• 23

• 12

• 60

Multiple Choice

A car travels 30 miles/hr for 3 hours, calculate the distance it will travel

• 90 miles

• 10 miles

• 600 miles

• 90 km