P3: ​AMDM Mixed Review for Test 2n

​AMDM Mixed Review for Test 2

By Gayle Herrington

• Area & Perimeter

• Volume

• Estimating Crowds

• Estimating Large Quantities/Fermi Problems

• Tree Diagrams

• Fundamental Counting Princple

• Weighted Averages

  • Grades

  • Slugging Average

Multiple Choice

What is the Perimeter of this Composite Figure?

• 44 cm

• 42 cm

• 35 cm

• 41 cm

Multiple Choice

What is the area of the following figure?

• 329.04 ft²

• 216 ft²

• 668.39 ft²

• 272.55 ft²

Multiple Choice

What is the area of the composite shape?

• 40ft²

• 9ft²

• 49ft²

• 61ft²

Multiple Choice

Find the Perimeter

• 74 in

• 69 in

• 82 in

• 67 in

Multiple Choice

Find the area.

• 50 units²

• 200 units²

• 250 units²

• 300 units²

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

A new sleep center needs to order nap pods to fill its space. Each pod takes up a 65 in by 48 in space. If the room is 32 ft by 24 ft, how many pods should be ordered?

• 35 pods

• 13 pods

• 585 pods

• 4 pods

Multiple Choice

Convert 36 inches to Feet

• 36/3 (feet)

• 36 x 3 (feet)

• 36/12 (feet)

• 36 x 12 (feet)

Multiple Choice

A stadium has two main sections. The lower bowl seating area is 30,000 square feet at a high-density crowd level, and the upper deck is a 10,000 square foot standing-room-only area at a low-density crowd level. What is the total estimated number of people in the stadium?

• Low-density: 1 person per 10 square feet

• High-density: 1 person per 4.5 square feet

• "Mosh-pit density": 1 person per 2.5 square feet

• 6,667 people

• 9,667 people

• 7,667 people

• 8,667 people

Multiple Choice

A crowd is 13 feet wide on both sides of the street standing all along a 2.6-mile section of a parade route. Organizers estimate that the crowds density was one person/3 square feet. Estimate the crowd size.

1 mile = 5,280 feet

• 178,464 people

• 205,920 people

• 59,488 people

• 118,976 people

V = Bh
B= area of the base of the solid
h= height of the solid ( number of layers to fill it)

Multiple Choice

Find the Volume if the height is 10 cm and radius 3 cm?

• 250
• 200
• 283
• 180

Multiple Choice

Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π.

• 1,562.7 cubic in.

• 1,325.5 cubic in.

• 1,129.9 cubic in.

• 1,819.6 cubic in.

Multiple Choice

What is the approximate composite volume of both the cone and the cylinder?  
Round your answer to the nearest hundredth.

• 2,261.95 m³
• 1,734.16 m³
• 1,507.96 m³
• 720 m³

Multiple Choice

• 410 cm3
• 420 cm3
• 402 cm3
• 401 cm3

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

A teacher asks students to estimate how many irregularly shaped rocks can fit into a rectangular prism container. After calculating the volume of the container, a student simply divides this volume by the estimated average volume of one rock. Which crucial factor that affects the accuracy of their estimation has this student most likely overlooked?

• The precision of the container's volume calculation.

• The accuracy of the individual rock volume estimation.

• The space between the rocks due to their irregular shapes and how they pack together.
  

• The weight limit of the container.

Multiple Choice

A rectangular bin has dimensions of 2 feet long, 3 feet wide, and 4 feet high. The average tennis ball has a diameter of 2.7 inches. Assuming a packing factor of 64%, approximately how many tennis balls can fit in the bin?

• 265 tennis balls

• 2 tennis balls

• 4024 tennis balls

• 2575 tennis balls

Fill in the Blanks

A student needs to estimate how many gumballs will fit into a cylindrical jar. The jar has a radius of 5 cm and a height of 15 cm. The average volume of a gumball is estimated to be 4 cm³. Considering a packing factor of 64%, approximately how many gumballs can fit in the jar?

Multiple Choice

How many total outfit options are represented?

• 12
• 22
• 3

Multiple Choice

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

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

Use the Fundamental Counting Principle to find out how many total outcomes you have:

You go to an ice cream shop and get to choose: (flavor: Chocolate, Vanilla, Strawberry, Swirl), (scoops: 1, 2, or 3), (toppings: Sprinkles, Gummi Bears, Nerds, Chocolate Chips), and (cone: Waffle or Sugar).

• 96

• 4

• 14

• 240

Fill in the Blanks

A website requires users to set up an account that is password protected. If the password format is four letters followed by a single digit, how many different passwords are possible?

Fill in the Blanks

A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there?

Multiple Choice

A professor weights his grades as follows:

• Tests 40%
• Class Participation 25%
• Homework 15%
• Final exam 20%

What would a student need to make on their Final Exam to make an 80 or above as their Final grade in the class?

Here are the students grades:

• Homework {83, 92, 95, 90} =
• Class Participation {90, 100} =
• Test Grades {90, 78, 84, 88} =
• Final Exam Grade {??} =

• 43

• 40

• 50

• 80

Multiple Choice

What is the batting average of a player with 430 official at-bats and 368 hits?
Remember, Batting Average has exactly 3 digits, so be sure to round to the thousandths place!

• 0.856
• 0.865
• 0.568
• 0.568

Multiple Choice

According to the Slugging Percentage Formula (on the left hand-side). Determine 1B, 2B, 3B, HR, and AB for example below:

Jason finished the season with 172 total hits comprised of 73 singles, 36 doubles, 9 triples and 54 home runs over 457 at-bats.  Calculate his slugging percentage.

• 1B = 73

  2B = 36

  3B = 9

  HR = 54

  AB = 172

• 1B = 73

  2B = 36

  3B = 9

  HR = 54

  AB = 457

• AB = 172

  HR = 73

  1B = 36

  2B = 9

  3B = 54

• 1B = 173

  2B = 73

  3B = 36

  4B = 9

  HR = 457

Multiple Choice

A baseball players slugging average is a calculated by finding the weighted sum of the players at-bats. Singles are weighted 1, doubles are weighted 2, triples are 3, home runs are weighted 4 and all other outcomes are weighted 0. The weighted sum is then divided by the total number of at-bats. Calculate this players slugging average:

8 singles

5 doubles

0 triples

2 home runs

40 at-bats

• 0.58

• 0.61

• 0.65

• 0.72

Multiple Choice

Consider two grading systems for determining your final class average.

If your grade averages are the following,

• Homework = 90
• Test average = 84
• Class participation = 95
• Final exam grade = 68

What would be your final class average in both Grading systems?

Which grading system do you prefer?

• System I = 82%, System II = 83% (Prefer System II)

• System I = 83%, System II = 82% (Prefer System II)

• System I = 83%, System II = 82% (Prefer System I)

• System I = 83%, System II = 83% (Both systems are the same)