Free Printable Geometry Module 5 Review

1.

A coin jar contains the coins shown in the table. Suppose you pick one coin at random, do not replace it, and then pick another coin. What is the probability that the first coin is a dime and the second coin is worth at least 5¢?

a)

$\frac{17}{370}$

b)

$\frac{133}{2346}$

c)

$\frac{5}{37}$

d)

$\frac{3}{19}$

2.

Jason works as a salesman at an appliance retailer. He is able to successfully close a sale with 40% of the customers he meets. What is the probability that Jason will close a sale with the next 2 customers he meets?

a)

4%

b)

8%

c)

16%

d)

40%

3.

Which expression has a value of 720? Select all that apply.

a)

$6!$

b)

$\frac{8!}{8\cdot7\cdot6}$

c)

$\frac{720!}{719!}$

d)

$\frac{721!}{721}$

4.

Six friends are dancing at a wedding reception. In how many ways can the friends be arranged to dance with each other?

a)

5040 ways

b)

1680 ways

c)

720 ways

d)

560 ways

5.

The dartboard shown is a square inscribed inside a square. The vertices of the square that represents the shaded scoring zone bisect the 4 sides of the larger square. What is the probability that a dart will hit the shaded scoring area of the dartboard?

a)

0.375

b)

0.4

c)

0.5

d)

0.625

6.

How many different 5-letter words can be formed using the letters from the word FLOOR?

a)

25 words

b)

60 words

c)

50 words

d)

120 words

7.

The two-way frequency table shows the results of a survey about students in Molly’s grade. Which statement is true? Select all that apply.

a)

The probability that a student plays school sports or is a member of a school club is 44.7%

b)

The probability that a student does not play sports is the same as the probability that a student is not a member of a school club.

c)

The probability that a student is not a member of a school club of does not play sports is 18.7%

d)

The relative frequency of students that are members of school clubs but do not play school sports is 0.146.

8.

Juli wants to see the tigers (T), the lions (L), and the bears(B) during her afternoon visit to a zoo. She plans to randomly choose the order for her visit. What is the sample space for the probability of any certain order?

a)

T, L, B

b)

TL, LB, BT

c)

TL, TB, LT, LB, BT, BL

d)

TLB, TBL, LTB, LBT, BTL, BLT

9.

Which describes independent events from disjoint sets? Select all that apply.

a)

A math class has 25 students. The teacher randomly chooses 2 students. You want to know the probability that one of the two students will be female.

b)

Lunch includes your choice of salad and your choice of vegetables. You want to know the probability of choosing a house salad and broccoli as your vegetable.

c)

You roll a number cube and spin a spinner. You want to know the probability of rolling a 4 and spinning a Z.

d)

A bag contains red, green, and blue marbles. You randomly draw 2 marbles at the same time and want to know the probability that either marble if red.

10.

Ricardo randomly chooses a block from each of the two groups shown in the figure. What is the probability that he will choose a K from the first group and a U from the second group?

a)

$\frac{6}{121}$

b)

$\frac{58}{121}$

c)

$\frac{6}{11}$

d)

$\frac{8}{121}$

11.

Suppose you write the numbers 1 to 10 on separate index cards. You randomly choose one card, place it back in the set, and then randomly choose another card. What is the probability that the first card you choose is the number 4 or the second card you choose is the number 5?

a)

$\frac{1}{100}$

b)

$\frac{1}{5}$

c)

$\frac{2}{5}$

d)

$\frac{19}{100}$

12.

Which is the sample space for spinning the spinner one time?

a)

$\frac{1}{12}$

b)

A A B B B C C D D D D D

c)

A B C D

d)

$\frac{1}{6},\frac{1}{4},\frac{1}{6},\frac{5}{12}$

13.

Jill buys one lottery ticket for which she randomly chooses 3 numbers, ranging from 1 to 24. The winning numbers of the lottery are randomly selected from 3 bins. Each bin contains balls with the numbers 1 through 24 written on them. What is the probability that Jill will win the lottery?

a)

$\frac{1}{512}$

b)

$\frac{1}{4608}$

c)

$\frac{1}{13824}$

d)

$\frac{1}{12144}$

14.

You randomly choose one cube from Group 1 and one pyramid from Group 2. What is the probability that you will choose either an shaded cube or an shaded pyramid?

a)

$\frac{15}{77}$

b)

$\frac{53}{77}$

c)

$\frac{62}{77}$

d)

$\frac{68}{77}$

15.

A cafe offers 5 different sandwiches on its lunch menu. Each day, Sherise randomly chooses a sandwich. Which calculation shows the number of possible orders of sandwiches that she can choose during a 4-day period?

a)

$5\cdot4$

b)

$5\cdot5\cdot5\cdot5$

c)

$5\cdot4\cdot3\cdot2$

d)

$5\cdot5\cdot4\cdot4$

16.

A number cube has a different color on each side—red, blue, green, orange, purple, and yellow. Evan rolls the cube 3 times. What is the probability that he will roll blue all 3 times?

a)

$\frac{1}{6}$

b)

$\frac{1}{27}$

c)

$\frac{1}{729}$

d)

$\frac{1}{216}$

17.

Which describes dependent events? Select all that apply.

a)

You randomly draw a blue marble from a bag; return the marble, and then randomly draw a yellow marble.

b)

A president and vice president are randomly selected from a group of 24 students.

c)

You write the numbers 1 through 10 on index cards. You randomly draw two cards, a 6 and an 8.

d)

You randomly draw a card from a standard deck of cards four times. You draw a King, then a Queen, then a Jack, then an Ace.

18.

The menu for a restaurant lists 3 types of soup, 5 types of sandwiches, and 4 types of salads. Which is the correct probability model for choosing an item at random from the menu?

a)

b)

c)

d)

19.

A deli offers up to 15 different toppings on their sub sandwiches. How many different 4-topping sandwiches are possible? (hint: use $nCr$ )

a)

48 sandwiches

b)

495 sandwiches

c)

1365 sandwiches

d)

32,760 sandwiches

20.

The two-way frequency table shows the results of a survey about where adults primarily get their news based on their age.

What is the relative frequency of adults under 40 years old who get their news from the TV? Round to the nearest thousandth.

a)

0.676

b)

0.167

c)

0.347

d)

0.218

21.

Suppose a survey respondent is selected at random. What is the probability that the adult is age 40 or older or gets their news from Internet? Round to the nearest tenth of a percent.

a)

91.7%

b)

65.3%

c)

56.2%

d)

83.3%

22.

A yogurt shop offers 20 flavors of frozen yogurt. Evie randomly chooses 3 different flavors for her banana split. What is the probability she chooses chocolate, vanilla, and strawberry? (Hint: use $n\Pr$ )

a)

$\frac{1}{1140}$

b)

$\frac{1}{6840}$

c)

$\frac{1}{13800}$

d)

$\frac{1}{15625}$

23.

The gym where Ned works out has 5 treadmills. Each time he visits the gym, he randomly chooses one of the treadmills to use. Which calculation shows the number of possible orders of treadmills Ned can choose during 3 visits? (Hint: Can he use the same treadmill?)

a)

$3\cdot3$

b)

$5\cdot4\cdot3$

c)

$5\cdot5\cdot5$

d)

$3\cdot3\cdot3\cdot3\cdot3$

24.

Hiram randomly chooses a letter from the group and does not replace it. He then randomly chooses another letter. What is the probability that the first letter is an D or the second letter is a F?

a)

$\frac{29}{80}$

b)

$\frac{31}{80}$

c)

$\frac{41}{120}$

d)

$\frac{9}{20}$

25.

Sandra randomly chooses two of the shapes from the set at the same time. What is the probability that one shape is a cube or one shape is a cylinder?

a)

$\frac{29}{42}$

b)

$\frac{9}{42}$

c)

$\frac{5}{9}$

d)

$\frac{23}{42}$

Geometry Module 5 Review

Total questions: 25

Worksheet time: 50mins

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