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Math Problems
Grade 8
Make predictions
Cam is going to roll a fair
6
6
6
-sided die
2400
2400
2400
times. What is the best prediction for the number of times that Cam will roll the number?
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If you spin the spinner
9
9
9
times, what is the best prediction possible for the number of times it will land on pink?
\newline
\newline
_____ times
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If you spin the spinner
6
6
6
times, what is the best prediction possible for the number of times it will not land on pink?
\newline
\newline
_____ times
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If you spin the spinner
11
11
11
times, what is the best prediction possible for the number of times it will land on pink or blue?
\newline
\newline
_____ times
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If you spin the spinner
6
6
6
times, what is the best prediction possible for the number of times it will land on yellow or green?
\newline
\newline
_____ times
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You select a marble without looking and then put it back. If you do this
5
5
5
times, what is the best prediction possible for the number of times you will pick a marble that is not pink?
\newline
\newline
_
_
_
_
\_\_\_\_
____
times
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If you spin the spinner
8
8
8
times, what is the best prediction possible for the number of times it will land on blue or yellow?
\newline
\newline
_____ times
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You select a marble without looking and then put it back. If you do this
5
5
5
times, what is the best prediction possible for the number of times you will pick a purple marble?
\newline
\newline
_
_
_
_
\_\_\_\_
____
times
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If you spin the spinner
6
6
6
times, what is the best prediction possible for the number of times it will land on green or pink?
\newline
\newline
_____ times
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You select a marble without looking and then put it back. If you do this
12
12
12
times, what is the best prediction possible for the number of times you will pick an orange marble?
\newline
\newline
_____ times
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You select a marble without looking and then put it back. If you do this
10
10
10
times, what is the best prediction possible for the number of times you will pick a green marble?
\newline
\newline
_
_
_
_
\_\_\_\_
____
times
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Cam is going to roll a fair
6
6
6
-sided die
2400
2400
2400
times.
\newline
What is the best prediction for the number of times that Cam will roll the number
4
4
4
?
\newline
Choose
1
1
1
answer:
\newline
(A) Exactly
400
400
400
times
\newline
(B) Close to
400
400
400
times but probably not exactly
400
400
400
times
\newline
(C) Exactly
600
600
600
times
\newline
(D) Close to
600
600
600
times but probably not exactly
600
600
600
times
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If you flip a coin
8
8
8
times, what is the best prediction possible for the number of times it will land on heads?
\newline
_
_
_
_
\_\_\_\_
____
times
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If you roll a
6
6
6
-sided die
6
6
6
times, what is the best prediction possible for the number of times you will roll a three?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
times
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If you roll a
6
6
6
-sided die
12
12
12
times, what is the best prediction possible for the number of times you will roll a four?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
times
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If you roll a
6
6
6
-sided die
12
12
12
times, what is the best prediction possible for the number of times you will roll a five?
\newline
_
_
_
_
\_\_\_\_
____
times
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If you roll a
6
6
6
-sided die
6
6
6
times, what is the best prediction possible for the number of times you will roll an even number?
\newline
_
_
_
_
\_\_\_\_
____
times
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Shelley's Cupcakes recently sold
8
8
8
cupcakes, of which
4
4
4
were coconut cupcakes. Considering this data, how many of the next
20
20
20
cupcakes sold would you expect to be coconut cupcakes?
\newline
____ coconut cupcakes
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Craig is learning to identify local birds with a Field Guide to Forest Birds deck of cards. He randomly selects one card from the deck, puts it back in the deck, and selects another card. He repeats this several times and gets
4
4
4
hummingbirds,
3
3
3
falcons,
1
1
1
woodpecker,
4
4
4
owls,
3
3
3
loons, and
2
2
2
eagles.
\newline
Based on the data, what is the probability that the next card Craig selects will be a falcon card?
\newline
Write your answer as a fraction or whole number.
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Of the last
18
18
18
trains to pull into Castroville Station,
12
12
12
were full. Considering this data, how many of the next
12
12
12
trains would you expect to be full?
\newline
\newline
____ trains
\newline
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There were
3
3
3
chihuahuas at the dog park last Saturday, along with
9
9
9
other dogs. Considering this data, how many of the next
20
20
20
dogs to arrive at the park next Saturday should you expect to be chihuahuas?
\newline
____ chihuahuas
\newline
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Out of the people who have already taken their seats at a seminar,
2
2
2
people have black hair while
2
2
2
people do not. Considering this data, how many of the next
16
16
16
people to take their seats should you expect to be black-haired?
\newline
____ black-haired people
\newline
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Ann runs a day care center. Of the last
18
18
18
children to enroll at the day care center,
8
8
8
of them have been elementary school students. Considering this data, how many of the next
9
9
9
children to enroll should you expect to be elementary school students?
\newline
____ elementary school students
\newline
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On his recent free-throw attempts, Lamar made
4
4
4
shots and missed
6
6
6
shots. Considering this data, how many of his next
20
20
20
free-throw attempts would you expect Lamar to miss?
\newline
____ misses
\newline
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At Tasty Dogs,
2
2
2
of the last
12
12
12
customers wanted mustard on their hot dogs. Considering this data, how many of the next
6
6
6
customers would you expect to want mustard?
\newline
____ customers
\newline
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Brandon recorded which donut his nephew picked for breakfast the past few months.
\newline
------------------------ -
\newline
cake donuts
2
2
2
\newline
chocolate frosted donuts
2
2
2
\newline
jelly-filled donuts
5
5
5
\newline
glazed donuts
3
3
3
\newline
------------------------ -
\newline
Considering this data, how many of the next
20
20
20
donuts Brandon's nephew picks for breakfast would you expect to be glazed donuts?
\newline
____ glazed donuts
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Anthony's Muffin Shop recently sold
4
4
4
blackberry muffins and
6
6
6
other muffins. Considering this data, how many of the next
20
20
20
muffins sold would you expect to be blackberry muffins?
\newline
____ blackberry muffins
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You select a marble without looking and then put it back. If you do this
9
9
9
times, what is the best prediction possible for the number of times you will pick an orange marble?
\newline
\newline
_____ times
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In recent days, Rudy has worn a brown shirt on
5
5
5
days and shirts in other colors on
5
5
5
days. Considering this data, how many times would you expect Rudy to wear a brown shirt in the next
12
12
12
days?
\newline
____ times
\newline
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If you spin the spinner
10
10
10
times, what is the best prediction possible for the number of times it will land on pink?
\newline
\newline
_
_
_
_
_
\_\_\_\_\_
_____
times
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Elizabeth is going to flip a fair coin
100
100
100
times.
\newline
What is the best prediction for the number of times that the coin will land tails up?
\newline
Choose
1
1
1
answer:
\newline
(A) Exactly
200
200
200
times
\newline
(B) Close to
200
200
200
times but probably not exactly
200
200
200
times
\newline
(C) Exactly
50
50
50
times
\newline
(D) Close to
50
50
50
times but probably not exactly
50
50
50
times
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30
30
30
adults booked to stay in a hotel.
\newline
19
19
19
adults booked breakfast
\newline
15
15
15
adults booked dinner
\newline
4
4
4
adults did not book breakfast or dinner
\newline
Some adults booked breakfast and dinner.
\newline
Meihui chooses at random two of the 30 adults.
\newline
Work out the probability that these two adults each booked breakfast and dinner.
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There are
12
12
12
counters in a bag.
\newline
3
3
3
of the counters are red
\newline
9
9
9
of the counters are green
\newline
Ameya, Jack and Ella each take at random one counter from the bag.
\newline
Work out the probability that at least one red counter is still in the bag.
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If a fair coin is tossed
4
4
4
times, what is the probability, to the nearest thousandth, of getting exactly
2
2
2
tails?
\newline
Answer:
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If a fair coin is tossed
7
7
7
times, what is the probability, to the nearest thousandth, of getting exactly
4
4
4
heads?
\newline
Answer:
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If a fair die is rolled
7
7
7
times, what is the probability, to the nearest thousandth, of getting exactly o fours?
\newline
Answer:
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A lock has a code of
5
5
5
numbers from
1
1
1
to
10
10
10
. If no numbers in the code are allowed to repeat, how many different codes could be made?
\newline
Answer:
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The principal would like to assemble a committee of
7
7
7
students from the
12
12
12
-member student council. How many different committees can be chosen?
\newline
Answer:
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If the Math Olympiad Club consists of
16
16
16
students, how many different teams of
4
4
4
students can be formed for competitions?
\newline
Answer:
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98.6
,
99.0
,
98.9
,
98.3
,
98.7
98.6,99.0,98.9,98.3,98.7
98.6
,
99.0
,
98.9
,
98.3
,
98.7
\newline
What is the mean of the list of numbers?
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How many times larger is
8
×
1
0
6
8\times10^6
8
×
1
0
6
than
2
×
1
0
2
2\times10^2
2
×
1
0
2
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Kaylee owns a small business selling bagels. She knows that in the last week
13
13
13
customers paid cash,
32
32
32
customers used a debit card, and
53
53
53
customers used a credit card.
\newline
If next week, she is expecting
1900
1900
1900
customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
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Joshua owns a small business selling bagels. He knows that in the last week
39
39
39
customers paid cash,
22
22
22
customers used a debit card, and
2
2
2
customers used a credit card.
\newline
If next week, he is expecting
700
700
700
customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.
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Jack Allen kitchen recently sold
20
20
20
desserts, including
2
2
2
pieces of pie. What is the probability that the next dessert will be a slice of pie?
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Which event is most likely to occur?
\newline
Rolling a number less than
11
11
11
on a twelve-sided die, numbered from
1
1
1
to
12
12
12
.
\newline
Spinning a spinner divided into four equal-sized sections colored red/green/yellow/blue and landing on brown.
\newline
Winning a raffle that sold a total of
100
100
100
tickets, if you buy
27
27
27
tickets.
\newline
Reaching into a bag full of
39
39
39
strawberry chews and
21
21
21
cherry chews without looking and pulling out a strawberry chew.
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Aisha owns a small business selling used books. She knows that in the last week
11
11
11
customers paid cash,
33
33
33
customers used a debit card, and
72
72
72
customers used a credit card.
\newline
If next week, she is expecting
1200
1200
1200
customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.
\newline
Answer:
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Shaniece owns a small business selling bagels. She knows that in the last week
83
83
83
customers paid cash,
7
7
7
customers used a debit card, and
21
21
21
customers used a credit card.
\newline
If next week, she is expecting
1600
1600
1600
customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
\newline
Answer:
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Michael owns a small business selling ice-cream. He knows that in the last week
20
20
20
customers paid cash,
44
44
44
customers used a debit card, and
4
4
4
customers used a credit card.
\newline
If next week, he is expecting
1700
1700
1700
customers, about how many would you expect to pay with a credit card? Round your answer to the nearest whole number.
\newline
Answer:
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Alyssa volunteers on the weekend at the Central Library. As a school project, she decides to record how many people visit the library, and where they go. On Saturday,
401
401
401
people went to The Youth Wing,
376
376
376
people went to Social Issues, and
320
320
320
went to Fiction and Literature.
\newline
On Sunday, the library had
500
500
500
total visitors. Based on what Alyssa had recorded on Saturday, about how many people should be expected to go to Fiction and Literature? Round your answer to the nearest whole number.
\newline
Answer:
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Tallulah owns a small business selling clothing. She knows that in the last week
28
28
28
customers paid cash,
15
15
15
customers used a debit card, and
61
61
61
customers used a credit card.
\newline
If next week, she is expecting
1000
1000
1000
customers, about how many would you expect to pay with a debit card? Round your answer to the nearest whole number.
\newline
Answer:
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