AnswersFL-1205040-MJ Grade 7 Mathematics A-CRUnit Test

Compound Events and Sample Space Answers

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Jamie made the tree diagram below to show the different choices he has for ordering a pizza for lunch.According to the tree diagram, which best describes how many choices Jamie has for his pizza?

Question illustration
A
three choices for size, two choices for crust, and two choices for topping
B
three choices for size, two choices for crust, and one choice for topping
C
two choices for size, two choices for crust, and one choice for topping
D
two choices for size, two choices for crust, and two choices for topping
2
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Marissa is choosing a four-digit PIN for her ATM card. The first digit must be a digit from 1 through 9. For the other three digits, she can choose any combination of digits 0 through 9, but may not repeat a digit. Which shows part of the sample space for Marissa’s PIN?

A
0123, 0456, 0789
B
1012, 1033, 1004
C
2345, 2034, 2134
D
3200, 4200, 5200
3

Tahari is shopping for a new car. She is making her decision based on brand, color, and style. She can choose from 4 brands, 5 colors, and 3 styles. First, Tahari chooses the color. Which explains the number of options that she has left after she chooses the color?

A
Tahari has 60 options left because .
Option A
B
Tahari has 12 options left because she has options left.
Option B
C
Tahari has 12 options left because .
Option C
D
Tahari has 7 options left because she has options left.
Option D
4

Jonathan has a bag that contains exactly one red marble (r), one yellow marble (y), and one green marble (g). He chooses a marble from the bag without looking. Without replacing that marble, he chooses a second marble from the bag without looking. Which outcomes would be included in the sample space for Jonathan’s experiment? Select three options.

A
yy
B
gr
C
gg
D
rg
E
yr
5

Jordan is planning to buy a vehicle. He has the following choices.Type: sedan or SUVTransmission: 5-speed or automaticColor: red, blue, black, green, or silverTop: sunroof or no sunroof Jordan says that he has a total of 2 + 2 + 5 + 2, or 11, possible vehicle choices. What is Jordan’s error?

A
He should have multiplied the sum by 4.
B
He should have added only the choices for type and transmission.
C
He should have multiplied only the choices for type and transmission.
D
He should have multiplied the choices, instead of adding them.
6

Two spinners that have sections numbered 1 through 5 are spun at the same time. Then, the numbers are added together. What is the total number of possible sums?

A
9
B
10
C
18
D
25
7

Rhianna has a spinner, which is divided into four equal parts. The parts are numbered 1, 2, 3, and 4. If Rhianna spins the spinner and tosses a coin, which table shows all the possible outcomes?

A
A 5-column table with 2 rows. Column 1 has entries H, H. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries H 2, H 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries H 4, H 4.
Option A
B
A 5-column table with 2 rows. Column 1 has entries T, T. Column 2 is labeled 1 with entries T 1, T 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries T 3, T 3. Column 5 is labeled 4 with entries T 4, T 4.
Option B
C
A 5-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, H 1. Column 3 is labeled 2 with entries T 2, T 2. Column 4 is labeled 3 with entries H 3, H 3. Column 5 is labeled 4 with entries T 4, T 4.
Option C
D
A 5-column table with 2 rows. Column 1 has entries T, H. Column 2 is labeled 1 with entries T 1, H 1. Column 3 is labeled 2 with entries T 2, H 2. Column 4 is labeled 3 with entries T 3, H 3. Column 5 is labeled 4 with entries T 4, H 4.
Option D
8

Geraldine is picking a four-digit password by using the digits 0 through 9. She can use each digit only once. How many different passwords are possible?

A
34
B
40
C
5,040
D
10,000
9

Franz and his friends are using the spinners below to play a game.If one turn consists of spinning each spinner once, which table shows all the possible outcomes for one turn?

Question illustration
A
A 4-column table with 2 rows. The columns are labeled First Spinner and the rows are labeled Second spinner. Column 1 has entries 2 A, 2 B. Column 2 has entries 4 A, 4 B. Column 3 has entries 6 A, 6 B. Column 4 has entries 8 A, 8 B.
Option A
B
A 4-column table with 3 rows. The columns are labeled First Spinner and the rows are labeled Second spinner. Column 1 has entries 2 A, 2 B, 2 C. Column 2 has entries 4 A, 4 B, 4 C. Column 3 has entries 6 A, 6 B, 6 C. Column 4 has entries 8 A, 8 B, 8 C.
Option B
C
A 4-column table with 2 rows. The columns are labeled First Spinner and the rows are labeled Second spinner. Column 1 has entries 2, A. Column 2 has entries 4, B. Column 3 has entries 6, C. Column 4 has entries 8, D.
Option C
D
A 4-column table with 3 rows. The columns are labeled First Spinner and the rows are labeled Second spinner. Column 1 has entries 2 A, 2 A, 2 A. Column 2 has entries 4 B, 4 B, 4 B. Column 3 has entries 6 C, 6 C, 6 C. Column 4 has entries 8 A, 8 B, 8 C.
Option D
10

Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?

A
A tree diagram. H branches to H and T, and T branches to H and T.
Option A
B
A tree diagram. H branches to H and H, and T branches to T and T.
Option B
C
A tree diagram. H branches to H and T, and H branches to H and T.
Option C
D
A tree diagram. T branches to H and T, and T branches to H and T.
Option D

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