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Math Problems
Grade 8
Compound events: find the number of outcomes
Label each point on the number line with the correct value. Click each dot on the image to select an answer.
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Choices:
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7
9
\frac{7}{9}
9
7
\newline
10
9
\frac{10}{9}
9
10
\newline
0.62
0.62
0.62
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While organizing a film festival, you must decide which of the
14
14
14
movies will be shown on the big screen. You only have the budget to show
7
7
7
movies on this screen, and you want to be able to tell moviegoers which order the films will be shown. In how many different ways can you show
7
7
7
of the
14
14
14
movies on the big screen?
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Nyesha runs a makerspace. She recently received a suggestion to let members have
24
24
24
-hour access to the space. Which of the following sampling methods is most appropriate to estimate the proportion of members who are in favor of
24
24
24
-hour access?
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Choose
1
1
1
answer:
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(A) Surveying the first
25
25
25
members at her makerspace on a particular weekday
\newline
(B) Surveying
25
25
25
members of her makerspace at random
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(C) Surveying
25
25
25
members of a different makerspace that has
24
24
24
-hour access
\newline
(D) Creating a poll on social media and using the first
25
25
25
responses
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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If
4
4
4
boys and
6
6
6
girls are competing, how many different ways could the six medals possibly be given out?
\newline
Answer:
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In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If
13
13
13
boys and
5
5
5
girls are competing, how many different ways could the six medals possibly be given out?
\newline
Answer:
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what is the answer to this math problem
1
1
1
can equals
8
8
8
hours. how many cans equals
52
52
52
hours?
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If the Math Olympiad Club consists of
19
19
19
students, how many different teams of
5
5
5
students can be formed for competitions?
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Answer:
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If the Math Olympiad Club consists of
16
16
16
students, how many different teams of
3
3
3
students can be formed for competitions?
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Answer:
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A lock has a code of
3
3
3
numbers from
1
1
1
to
20
20
20
. If no numbers in the code are allowed to repeat, how many different codes could be made?
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Answer:
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The principal would like to assemble a committee of
6
6
6
students from the
14
14
14
-member student council. How many different committees can be chosen?
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Answer:
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Chee is organizing textbooks on her bookshelf. She has a Spanish textbook, a math textbook, and a physics textbook. How many different ways can she line the textbooks up on her bookshelf?
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Answer:
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A lock has a
3
3
3
-number code made up of
30
30
30
numbers. If none of the numbers are allowed to repeat, how many different ways can you choose three different numbers in order for a unique code?
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Answer:
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A school received a shipment of laptops and tablets purchased for
$
35
,
100
\$ 35,100
$35
,
100
for their new computer lab. Each tablet cost
$
375
\$ 375
$375
and each laptop cost
$
850
\$ 850
$850
. If the school ordered
3
3
3
times as many laptops as tablets, then which of the following is the number of laptops in the shipment?
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Choose
1
1
1
answer:
\newline
(A)
12
12
12
\newline
(B)
18
18
18
\newline
(C)
36
36
36
\newline
(D)
54
54
54
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Two dice are rolled. What is the probability of rolling a
3
3
3
and a
2
2
2
?
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Jerry has a large car which holds
22
22
22
gallons of fuel and gets
20
20
20
miles per gallon. Kate has a smaller car which holds
16.5
16.5
16.5
gallons of fuel and gets
30
30
30
miles per gallon. If both cars have a full tank of fuel now and drive the same distance, in how many miles will the remaining fuel in each tank be the same?
\newline
Choose
1
1
1
answer:
\newline
(A)
320
320
320
\newline
(B)
325
325
325
\newline
(C)
330
330
330
\newline
(D)
335
335
335
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