Free Printable MMA UNIT 9 TEST REVIEW

1.

Cory and Shana are having a new home custom built. Their builder has asked them to make specific selections for the following items: cabinetry, countertop, flooring, and appliances. They are choosing from 3 different types of cabinetry, 5 types of countertop, 6 types of flooring, and 3 types of appliances. They will choose one type of each for their new kitchen. How many different kitchen designs are possible?

a)

270

b)

324

c)

17

d)

360

2.

The Grover's City Garden Club has 26 members. The Garden Club plans to host a flower parade at the local botanical gardens in the spring. A committee of 6 members is to be selected to oversee the event. How many outcomes are possible for the committee of 6 members?

a)

230,230

b)

217,456

c)

156

d)

166

3.

Miss Santizo has 15 students in her Pre-K class. She wants to designate different groups of 3 students to be helpers each week of the school year. Which of the following will NOT generate a correct number of ways Miss Santizo can choose groups of 3 students from her 15 students?
(two answers)

a)

$\frac{15!}{3!\left(15-3\right)!}$

b)

$\frac{15!}{3!\left(12\right)!}$

c)

$\frac{\left(3+15-1\right)!}{3!\left(15-1\right)!}$

d)

$\frac{12\times11\times10}{3\times2\times1}$

4.

The Pattons are about to have their first born child, a son. They have compiled a list of eight boys' names from which to choose for their son's name. Which expression will correctly calculate the number of arrangements of first and middle names using the seven names in their list?

a)

$\frac{8!}{2!\left(8-2\right)!}$

b)

$\frac{8!}{\left(8-2\right)!}$

c)

$\frac{8!}{\left(8-6\right)!}$

d)

$\frac{8\times7\times6\times5\times4\times3\times2\times1}{2\times1}$

5.

Find the theoretical probability of tossing a die and getting an even number less than 5

a)

50%

b)

25%

c)

33.3%

d)

40%

6.

The results of tossing a die are recorded in the chart. Find the empirical probability of tossing an even number less than 5.

a)

22%

b)

50%

c)

44%

d)

28%

7.

What could be done to be sure that the empirical probability of tossing a die would be closer to the theoretical probability?

a)

Toss the die a large number of times (such as 500 or 1000)

b)

Toss the die fewer number of times (such as 10 or 20)

c)

Record the data more evenly

d)

Use loaded dice

8.

A spinner with 3 equal-sized colored sections is used to generate the data in the table. Which strategy can be used to find the difference between the empirical and theoretical probabilities of spinning Blue?

a)

Subtract $\frac{1}{16}$ from $\frac{1}{3}$

b)

Subtract $\frac{1}{3}$ from $\frac{8}{25}$

c)

Subtract $\frac{1}{3}$ from $\frac{8}{25}$

d)

Subtract $\frac{1}{3}$ from $\frac{1}{6}$

9.

Tracey's assignment is to design an experiment using a spinner to demonstrate an event with a theoretical probability of 40%. Tracey designs a pentagon with 5 equal sections, each a different color, and determines that the theoretical probability of 40% can be achieved by spinning either one of two chosen colors. She performs 100 trials and collects the data in the table. Which pair of colors (sections of the spinner) demonstrates an empirical probability that is closest to the theoretical probability of 40%?

a)

red and blue

b)

blue and orange

c)

red and purple

d)

red and green

10.

William and Harry are shooting darts at a game board and have been arguing about the probability of a dart landing in Area A. They decide to compare probabilities by throwing darts at the board 50 times and tallying the results. The table and graphic represent the 50 darts shown. The radius of the larger circle, including both areas A and B is 7 inches and the radius of the circle including only area B is 4 inches.

What are the theoretical and empirical probabilities of a dart that hits the board landing in area A?

a)

Theoretical: $\frac{10\pi}{14\pi}=71.4\%$
Empirical: $\frac{36}{50}=72\%$

b)

Theoretical: $\frac{33\pi}{49\pi}=67.3\%$
Empirical: $\frac{36}{50}=72\%$

c)

Theoretical: $\frac{9\pi}{49\pi}=18.4\%$
Empirical: $\frac{14}{36}=38.9\%$

d)

Theoretical: $\frac{8\pi}{14\pi}=57.1\%$
Empirical: $\frac{14}{50}=28\%$

MMA UNIT 9 TEST REVIEW

Total questions: 10

Worksheet time: 5mins

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