2011 Invitational MATH Bowl
11/28/2016 2:18 PM
Indiana Academic
M.A.T.H. Bowl
Invitational February, 2011
Begin
Round
One
1
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 1 Number 1
30 seconds
Which is greater
12 × ¼ or 12 ÷ ¼?
A.
B.
C.
D.
12 × ¼
12 ÷ ¼
They are equal
It can not be determined
2011 MATH Invitational Round 1 Number 1
Which is greater
12 × ¼ or 12 ÷ ¼?
B. 12 ÷ ¼
12 × ¼ = 12/4 or 3
12 ÷ ¼ = 12(4) or 48
2
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 1 Number 2
30 Seconds
Convert 125% to an improper
fraction.
A.
B.
C.
D.
1¼
5/4
3/2
1 2/5
2011 MATH Invitational Round 1 Number 2
Convert 125% to an improper
fraction.
B. 5/4
125% = 125/100
3
2011 Invitational MATH Bowl
2011 MATH Invitational Round 1 Number 3
11/28/2016 2:18 PM
30 second
A number cube is rolled. What is
the chance of rolling composite
numbers?
A.
B.
C.
D.
17%
33%
50%
67%
2011 MATH Invitational Round 1 Number 3
A number cube is rolled. What is
the chance of rolling composite
numbers?
B.33%
4 and 6 are
composite
2/6 = 33 1/3%
4
2011 Invitational MATH Bowl
2011 MATH Invitational Round 1 Number 4
11/28/2016 2:18 PM
30 seconds
How many strips of wallpaper
4/45 m long can be cut from a
strip 2/5 m long?
A. 2 strips
B. 2 ½ strips
C. 4 strips
D. 4 ½ strips
2011 MATH Invitational Round 1 Number 4
How many strips of wallpaper
4/45 m long can be cut from a
strip 2/5 m long?
D.
4 ½ strips
2/5 ÷ 4/45 =
2/5 * 45/4 =
90/20 or 4.5
5
2011 Invitational MATH Bowl
2011 MATH Invitational Round 1 Number 5
11/28/2016 2:18 PM
30 seconds
Taylor bought 5 tickets for a bike
raffle. Fifty tickets were sold.
What are Taylor’s chances of
winning the bike?
A. ½
B. 1/3
C. 1/10
D. 1/4
2011 MATH Invitational Round 1 Number 5
Taylor bought 5 tickets for a bike
raffle. Fifty tickets were sold.
What are Taylor’s chances of
winning the bike?
C. 1/10
5/50 = 1/10
6
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 1 Number 6
45 seconds
Sally and Sarah work in the school
bookstore Monday through Friday.
Sally works every second day. Sarah
works every third day. If they both
work on the first day of school, how
many days will they work together
during the first 2 weeks of school?
A. 1 day
C. 3 days
B. 2 days
D. 4 days
2011 MATH Invitational Round 1 Number 6
Sally and Sarah work in the school
bookstore Monday through Friday.
Sally works every second day. Sarah
works every third day. If they both
work on the first day of school, how
many days will they work together
during the first 2 weeks of school?
B. 2 days
Sally works M, W, F, Tu, Th.
Sarah works M, Th, Tu, Fr.
So they work together the first
Monday and the second Tuesday.
7
2011 Invitational MATH Bowl
2011 MATH Round 1 Number 7
11/28/2016 2:18 PM
45 Seconds
What numbers will
the next or sixth
row contain?
A. 1, 4, 6, 4, 1
B. 1, 5, 10, 10, 5, 1
C. 1, 5, 10,15, 5, 1
D. 1, 7, 21, 21, 7, 1
2011 MATH Invitational Round 1 Number 7
What numbers will
the next or sixth
row contain?
B. 1, 5, 10, 10, 5, 1
Add adjacent numbers
to find the number
in the box centered
below them.
8
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Round
One
Begin
Round
Two
9
2011 Invitational MATH Bowl
2011 MATH Invitational Round 2 Number 1
11/28/2016 2:18 PM
30 seconds
Which decimal has the
same value as 7/8?
A.
B.
C.
D.
0.75
0.777
0.875
0.975
2011 MATH Invitational Round 2 Number 1
Which decimal has the same
value as 7/8?
C. 0.875
10
2011 Invitational MATH Bowl
2011 MATH Invitational Round 2 Number 2
11/28/2016 2:18 PM
30 seconds
What is the probability of choosing a
green gem that is not a smiley face?
A. 2/11
C. 1/11
B. 1/5
D. 1/10
2011 MATH Invitational Round 2 Number 2
What is the probability of choosing a
green gem that is not a smiley face?
C. 1/11
11
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 2 Number 3
30 Seconds
Find the sum of one and sixteen
thousandths and seventeen and
nineteen hundredths.
A. 18.035
B. 18.206
C. 18.35
D. 18.306
2011 MATH Invitational Round 2 Number 3
Find the sum of one and sixteen
thousandths and seventeen and
nineteen hundredths.
B.18.206
1.016
+17.190
18.206
12
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 2 Number 4
30 Seconds
What percent of 140 is 56?
A. 40%
B. 56%
C. 84%
D. 250%
2011 MATH Invitational Round 2 Number 4
What percent of 140 is 56?
A. 40%
P = 56
100
140
140P = 5600
P = 5600/140
P = 0.4
13
2011 Invitational MATH Bowl
2011 MATH Invitational Round 2 Number 5
11/28/2016 2:18 PM
30 Seconds
Which of the following ratios is
greater than 5:12?
A. 3 to 4
B. 7:18
C. 15 out of 36
D. 6:15
2011 MATH Invitational Round 2 Number 5
Which of the following ratios is
greater than 5:12?
A. 3 to 4
Whether written as 3 to 4, 3/4, 3 out of 4,
they are all 0.75.
5/12 is 0.41666666…
14
2011 Invitational MATH Bowl
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2011 MATH Invitational Round 2 Number 6
60 seconds
If the spinner is
spun twice,
how many
ways can it get
a sum of 11?
A. 1 way
B. 2 ways
C. 3 ways
D. 4 ways
2011 MATH Invitational Round 2 Number 6
60 seconds
If the spinner is
spun twice,
how many
ways can it get
a sum of 11?
D. 4 ways
4 then 7, 5 then 6, 6 then 5, and 7 then 4
15
2011 Invitational MATH Bowl
2011 MATH Invitational Round 2 Number 7
11/28/2016 2:18 PM
45 seconds
A wagon wheel has 12 spaces
between spokes. How many
spokes does the wagon wheel
have?
A. 10 spokes
B. 11 spokes
C. 12 spokes
D. 13 spokes
2011 MATH Invitational Round 2 Number 7
A wagon wheel has 12 spaces
between spokes. How many
spokes does the wagon wheel
have?
B. 12 spokes
Simplify first:
1 spoke – one space
2 spokes – two spaces
3 spokes – three spaces
N spokes – N spaces
16
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Round
Two
Begin
Round
Three
17
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 1
11/28/2016 2:18 PM
30 seconds
The bookstore makes a profit of 5¢ for
each pencil sold. Which expression best
shows the profit in dollars for 50 pencils?
A.
B.
C.
D.
0.05 x 50
5 x 0.50
50 ÷ 5
50 - 5
2011 MATH Invitational Round 3 Number 1
The bookstore makes a profit of 5¢ for
each pencil sold. Which expression best
shows the profit in dollars for 50 pencils?
A. 0.05 x 50
$0.05(50) = $2.50 total
profit, in dollars
18
2011 Invitational MATH Bowl
2011 Invitational Round 3 Number 2
11/28/2016 2:18 PM
30 seconds
What is the value of 8 in
the number 814,635,702?
A. Hundred thousands
B. Millions
C. Ten millions
D. Hundred millions
2011 Invitational Round 3 Number 2
What is the value of 8 in
the number 814,635,702?
D. Hundred millions
We normally read as : 8 hundred fourteen
million, 635 thousand, 702.
19
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 3
11/28/2016 2:18 PM
45 seconds
Mrs. Triple bought 3 toys, one for each
of her triplets. She walked into the
store with $35.30 and walked out with
$4.10 in change. What was the average
toy cost?
A. $10.40
B. $11.60
C. $15.20
D. $35.20
2011 MATH Invitational Round 3 Number 3
Mrs. Triple bought 3 toys, one for each
of her triplets. She walked into the
store with $35.30 and walked out with
$4.10 in change. What was the average
toy cost?
A. $10.40
$35.30 - $4.10 = $31.20
$31.20 / 3 = $10.40
20
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 4
11/28/2016 2:18 PM
30 seconds
Seven eighths of what number is 21?
A.
B.
C.
D.
24
3/8
18 ⅜
32
2011 MATH Invitational Round 3 Number 4
Seven eighths of what number is 21?
A. 24
7/8(24)=21 by simply checking each
answer
Or 21 / (7/8) = 21(8)
7
21
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 5
11/28/2016 2:18 PM
45 seconds
Name three distinct factors of 12
whose sum is 11.
A. 3, 4, 4
B. 1, 2, 8
C. 2, 4, 5
D. 1, 4, 6
2011 MATH Invitational Round 3 Number 5
Name 3 distinct factors of 12
whose sum is 11.
A.
3, 4, 4 are not distinct
B.
1, 2, 8 eight is not a factor
C.
2, 4, 5 five is not a factor
D. 1, 4, 6
22
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 6
11/28/2016 2:18 PM
45 seconds
The Browns went out for dinner. For
every 2 meals they buy, they get one
free. If one meal costs $5.10, how
much will it cost for all 6 family
members to eat?
A. $30.60
B.$25.50
C.$20.40
D.$30.00
2011 MATH Invitational Round 3 Number 6
The Browns went out for dinner. For
every 2 meals they buy, they get the
next one free. If one meal costs $5.10,
how much will it cost for all 6 family
members to eat?
C. $20.40
Buy 2, get 3.
Buy 4, get 6.
4($5.10) = $20.40
23
2011 Invitational MATH Bowl
2011 MATH Invitational Round 3 Number 7
11/28/2016 2:18 PM
45 Seconds
Half of the books Heath owns are
mysteries. One third are historical
fiction. The other four books are
science fiction. How many of
Heath’s books are mysteries?
A. 4
B. 8
C. 12
D. 24
2011 MATH Invitational Round 3 Number 7
Half of the books Heath owns are mysteries.
One third are historical fiction. The other four
books are science fiction. How many of Heath’s
books are mysteries?
C. 12
1/2 + 1/3 = 5/6 so the 4 is 1/6 of his books.
If he owns 24 books, 12 are mysteries, 8 are
historical fiction and 4 are science fiction.
24
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Round
Three
Begin
Round
Four
25
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 4 Number 1
30 seconds
Use the proper symbol.
14/19 ____ 15/16
Emcee will NOT read answers.
A. <
B. >
C. =
D. ≤
2011 MATH Invitational Round 4 Number 1
Use the proper
symbol.
14/19 ____ 15/16
A. 14/19 < 15/16
14/19 = 0.7368421 and 15/16 = 0.9375
or use estimation: 14/19 is about 3/4 and 15/16 is closer to one whole
26
2011 Invitational MATH Bowl
2011 MATH Invitational Round 4 Number 2
11/28/2016 2:18 PM
30 seconds
What is the LCM of 8, 9, and
12?
A.
B.
C.
D.
36
72
96
864
2011 MATH Invitational Round 4 Number 2
30 seconds
What is the LCM of 8, 9, and
12?
B. 72
8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88 …
9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99 …
12, 24, 36, 48, 60, 72, 84, 96, 108 …
72 is Least Common Multiple of 8, 9 and 12.
27
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 4 Number 3
30 Seconds
Write 64% as a decimal
and a fraction.
A. 6.4; 16/25
B. 0.64; 16/25
C. 0.64; 4/5
D. 6.4; 4/5
2011 MATH Invitational Round 4 Number 3
30 Seconds
Write 64% as a decimal
and a fraction.
B. 0.64; 16/25
64
100
= 64÷4
100÷4
28
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 4 Number 4
30 seconds
What is the
probability of
drawing out a
ball that has a
composite
number on it?
A. 1/3
B. 3/7
C. 1/2
D. 4/7
2011 MATH Invitational Round 4 Number 4
What is the
probability of
drawing out a
ball that has a
composite
number on it?
B. 3/7
2, 7, 13 and 97 are prime. 63 is divisible by 3, 7, 9,
and 21. 42 is divisible by 2, 3, 6, 7, 14, and 21.
70 is divisible by 2, 5, 7, 10, 14, and 35.
29
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 4 Number 5
60 seconds
Yourtown, USA 2011
Length of daylight savings
time: 210 days
Number of homes: 10,000
A. $5,700
B. $39,900
C. $1,197,000
Money saved each day
during daylight saving time:
about $0.57 per house.
How much money will the
town save each week?
D. $1,235,400
2011 MATH Invitational Round 4 Number 5
Yourtown, USA 2011
Length of daylight savings
time: 210 days
Number of homes: 10,000
Money saved each day
during daylight saving time:
about $0.57 per house.
B. $39,900
How much money will the
town save each week?
(7 days)(10,000 homes)($0.57/house)
30
2011 Invitational MATH Bowl
2011 MATH Invitational Round 4 Number 6
11/28/2016 2:18 PM
45 seconds
Phil is buying a used sports car that
costs $29,748. If he buys 4 new
tires for $125 each, which place
values in the car’s cost will change?
A. Ones, tens, hundreds
B. Tens, hundreds, thousands
C. Hundreds, thousands
D. Hundreds, thousands, and ten
thousands
2011 MATH Invitational Round 4 Number 6
Phil is buying a used sports car that
costs $29,748. If he buys 4 new
tires for $125 each, which place
values in the car’s cost will change?
$29,748
+
500
$30,248
D. Hundreds, thousands, and ten
thousands
31
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Round 4 Number 7
Student
Bob Brown
Ola Orange
Brian Blue
Rally Red
60 seconds
Start Time
10:20
10:25
10:28
10:30
Finish Time
10:22:48
10:27:10
10:29:38
10:32:50
List the runners from first through fourth place.
A. Bob Brown, Ola Orange, Brian Blue, Rally Red
B. Brian Blue, Ola Orange, Bob Brown, Rally Red
C. Ola Orange, Brian Blue, Bob Brown, Rally Red
D. Rally Red, Brian Blue, Bob Brown, Ola Orange
2011 MATH Invitational Round 4 Number 7
Student
Bob Brown
Ola Orange
Brian Blue
Rally Red
Start Time
10:20
10:25
10:28
10:30
Finish Time Times
10:22:48 2:48
10:27:10 2:10
10:29:38 1:38
10:32:50 2:50
List the runners from first through fourth place.
B. Brian Blue, Ola Orange, Bob Brown,
Rally Red
32
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Round
Four
Begin
Alternate
Round
33
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 Invitational Alternate 1 Number 1
30 seconds
Simplify
5 1/2 - 2 5/14
A. 3 4/12
B. 3 1/3
C. 3 1/14
D. 3 1/7
2011 Invitational Alternate 1 Number 1
Simplify
5 1/2 - 2 5/14
5 7/14
– 2 5/14
3 2/14 then simplify
D. 3 1/7
34
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate #1 Number 2
11/28/2016 2:18 PM
30 seconds
When finding a measure of central tendency,
we may get a number that is NOT one of the
data items, except when finding which of the
following?
A. mean
B. mode
C. median
D. all the above
2011 MATH Invitational Alternate #1 Number 2
When finding a measure of central tendency,
we may get a number that is NOT one of the
data items, except when finding which of the
following?
B. Mode
There may be no mode or more than one mode, but if
there is a mode, it must be one of the data items.
The mean and sometimes the median result from
calculations that may result in a number that is
NOT one of the items from the data list.
35
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Alternate 1 Number 3
30 seconds
Add
5 3/27 + 2 1/9
A. 7 5/27
B. 7 5/9
C. 7 6/27
D. 7 2/9
2011 MATH Invitational Alternate 1 Number 3
Add
5 3/27 + 2 1/9
D.
36
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 1 Number 4
11/28/2016 2:18 PM
30 Seconds
How many acres?
74,052 square feet = _________ acres
(43,560 square feet = 1 acre)
A. 1.7
B. 1 1/2
C. 1.8
D. 1 2/3
2011 MATH Invitational Alternate 1 Number 4
How many acres?
74,052 square feet = _________ acres
(43,560 square feet = 1 acre)
A. 1.7
74,052/43,560 ≈ 1.7
This is a calculator problem!
37
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Alternate 1 Number 5
30 Seconds
Which pair of ratios do not form a
proportion?
A.
B.
C.
D.
2011 MATH Invitational Alternate 1 Number 5
Which pair of ratios do not form a
proportion?
8*36 = 9*32
8*27 = 18*12
C.
25*6 = 150 but 36*5 = 180
6*13 = 31.5*2.5
38
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 1 Number 6
11/28/2016 2:18 PM
45 Seconds
Sarah babysits each week and gets paid $4.50
per hour for each child. Next week, Sarah will
babysit Lauren for 3.5 hours, Jake for 6 hours,
and Jeremiah for 11 hours. How much should
Sarah get paid at the end of next week?
A. $87.75
B. $92.25
C. $78.00
D. $82.00
2011 MATH Invitational Alternate 1 Number 6
Sarah babysits each week and gets paid $4.50
per hour for each child. Next week, Sarah will
babysit Lauren for 3.5 hours, Jake for 6 hours,
and Jeremiah for 11 hours. How much should
Sarah get paid at the end of next week?
B. $92.25
$4.50(3.5 + 6 + 11) = $92.25
39
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Alternate 1 Number 7
45 seconds
Beth’s check stub is smudged. She
earned $217.50 before taxes by working
30 hours last week. If she works 35 hours
next week, how much will she earn,
before taxes?
A.
B.
C.
D.
$253.75
$247.50
$260.50
$257.75
2011 MATH Invitational Alternate 1 Number 7
Beth’s check stub is smudged. She
earned $217.50 before taxes by working
30 hours last week. If she works 35 hours
next week, how much will she earn,
before taxes?
A. $253.75
B.
C.
D.
($253.75 / 35) * 30 = $217.50
($247.50 / 35) * 30 = $212.14
($260.50 / 35) * 30 = $223.29
($257.75 / 35) * 30 = $220.93
40
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Alternate
Round 1
Begin
Alternate
Round 2
41
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 Invitational Alternate 2 Number 1
30 seconds
Every royal carriage needs 6
horses to pull it. There are 28
horses. How many carriages
can be used?
A. 4 carriages
C. 6 carriages
B. 5 carriages
D. 7 carriages
2011 Invitational Alternate 2 Number 1
Every royal carriage needs 6
horses to pull it. There are 28
horses. How many carriages
can be used?
A. 4 carriages
28 / 6 = 4 carriages with 4 horses left over
42
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 2 Number 2
11/28/2016 2:18 PM
30 Seconds
Convert 67/80 to a percent.
A. 67.8%
B. 83.75%
C. 32.2%
D. 83.6%
2011 MATH Invitational Alternate #2 Number 2
Convert 67/80 to a percent.
B. 83.75%
67 / 80 = 0.8375 or 83.75% when decimal is
moved two places to the right to change
decimal to percent
43
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
2011 MATH Invitational Alternate 2 Number 3
30 seconds
Which of these fractions and/or mixed
numbers is not equal to 4/3?
8/6
1 3/6
1 1/3
1 9/27
A. 8/6
B. 1 3/6
C. 1 1/3
D. 1 9/27
2011 MATH Invitational Alternate 2 Number 3
Which of these fractions and/or mixed
numbers is not equal to 4/3?
8/6
1 3/6
1 1/3
1 9/27
B. 1 3/6
44
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 2 Number 4
11/28/2016 2:18 PM
45 Seconds
Colby’s sock drawer consists of 12 pair of white
socks, 3 pair of blue socks, and 5 pair of black
socks, each pair neatly folded together. If Colby
reaches in his sock drawer and chooses a pair of
socks without looking, what is the probability that
the pair of socks will be blue or black?
A. 1/3
B. 2/3
C. 2/5
D. 3/5
2011 MATH Invitational Alternate 2 Number 4
Colby’s sock drawer consists of 12 pairs of
white socks, 3 pairs of blue socks, and 5 pairs
of black socks, all neatly folded together. If
Colby reaches in his sock drawer and chooses
a pair of socks without looking, what is the
probability that the pair of socks will be blue or
black?
C. 2/5
(3+5) / (12+3+5) = 8/20
45
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 2 Number 5
11/28/2016 2:18 PM
30 Seconds
Simplify the fraction:
2/3
1/4
A. 3/8
B. 1/6
C. 2 1/3
D. 2 2/3
2011 MATH Invitational Alternate 2 Number 5
Simplify the fraction:
2/3
1/4
D. 2 2/3
46
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 2 Number 6
11/28/2016 2:18 PM
45 Seconds
A shirt costs $29.96 after a 30%
discount is applied and 7% sales tax
is added. What was the shirt’s
original price?
A. $8.40
B. $36.40
C. $40.00
D. $58.00
2011 MATH Invitational Alternate 2 Number 6
A shirt costs $29.96 after a 30%
discount is applied and 7% sales tax
is added. What was the shirt’s
original price?
C. $40.00
Working backward from
answer:
$40(0.70)(1.07) = $29.96
47
2011 Invitational MATH Bowl
2011 MATH Invitational Alternate 2 Number 7
11/28/2016 2:18 PM
60 seconds
Molly has 24 coins in her pocket.
How much money does she have?
1/2 are nickels
1/4 are quarters
1/6 are dimes
1/12 are pennies
A. $1.79
B. $2.52
C. $2.79
D. $3.52
2011 MATH Invitational Alternate 2 Number 7
Molly has 24 coins in her pocket.
How much money does she have?
1/2 are nickels
1/4 are quarters
1/6 are dimes
1/12 are pennies
B. $2.52
12 * 0.05 = 0.60
6 * 0.25 = 1.50
4 * 0.10 = 0.40
2 * 0.01 = 0.02
48
2011 Invitational MATH Bowl
11/28/2016 2:18 PM
End
Alternate
Round 2
49