Download Round 1, Question 1 - Madison Area Technical College

Who Wants to Be a Super
Mathematician 2005
Hosted by Madison Area Technical
College
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 0 Fastest Finger
Arrange the following integers in order from smallest to largest.
a) 0
b) -17
c) 25
d) 13
Correct Answer: b, a, d, c
MATC's Who Wants to Be a Super
Mathematician 2005
Round 0, Question 1
What is 2 + 2 ?
a) 0
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1

Time Limit:
b) 2
30 seconds
c) 4
d) 8
MATC's Who Wants to Be a Super
Mathematician 2005
R 0, Q 1, 50:50
What is 2 + 2 ?
a) 0
12
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0.50
1

Time Limit:
30 seconds
c) 4
MATC's Who Wants to Be a Super
Mathematician 2005
R 0, Q 1, Answer
What is 2 + 2 ?
12
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2
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1 .00
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0.50
1

Time Limit:
30 seconds
c) 4
MATC's Who Wants to Be a Super
Mathematician 2005
Who Wants to Be a Super
Mathematician 2005
Hosted by Madison Area Technical
College
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 1 Fastest Finger
Put the following numbers in ascending order, according to their
decimal equivalent:
a) 5
b) 2
c) 
d) e
Correct Answer: b, a, d, c
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following web sites is a great
mathematics reference?
a) mathworld.wolfram.com
b) www.barney.com
c) www.english_lit.net
d) www.games.com
MATC's Who Wants to Be a Super
Mathematician 2005
Round 1, Question 1
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0.50
1

Time Limit:
60 seconds
Which of the following web sites is a great
mathematics reference?
a) mathworld.wolfram.com
b) www.barney.com
R 1, Q 1 50:50
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
Time Limit:
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following web sites is a great
mathematics reference?
a) mathworld.wolfram.com
R 1, Q 1 Answer
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
Time Limit:
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following numbers is
prime?
Round 1, Question 2
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2
a) 201
1

Time Limit:
b) 211
60 seconds
c) 221
d) 231
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following numbers is
prime?
R 1, Q 2 50:50
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2
1

Time Limit:
b) 211
60 seconds
c) 221
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following numbers is
prime?
R 1, Q 2 Answer
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0.50
2
1

Time Limit:
b) 211
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Round 1, Question 3
What is the value of 8! ?
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3
a) 8

Time Limit:
b) 4096
60 seconds
c) 5040
d) 40320
MATC's Who Wants to Be a Super
Mathematician 2005
R 1, Q 3 50:50
What is the value of 8! ?
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3

Time Limit:
60 seconds
c) 5040
d) 40320
MATC's Who Wants to Be a Super
Mathematician 2005
R 1, Q 3 Answer
What is the value of 8! ?
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1
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0.50
3

Time Limit:
60 seconds
d) 40320
MATC's Who Wants to Be a Super
Mathematician 2005
What number could not be a root (zero) of
P(x) = 2x6 – 13x5 – 7x4 – 2x2 + 13x + 7?
Round 1, Question 4
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4
a) -1

Time Limit:
b) –1/2
120 seconds
c) –1/3
d) 7
MATC's Who Wants to Be a Super
Mathematician 2005
What number could not be a root (zero) of
P(x) = 2x6 – 13x5 – 7x4 – 2x2 + 13x + 7?
R 1, Q 4 50:50
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1
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0.50
4

Time Limit:
b) –1/2
120 seconds
c) –1/3
MATC's Who Wants to Be a Super
Mathematician 2005
What number could not be a root (zero) of
P(x) = 2x6 – 13x5 – 7x4 – 2x2 + 13x + 7?
R 1, Q 4 Answer
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1
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0.50
4

Time Limit:
120 seconds
c) –1/3
MATC's Who Wants to Be a Super
Mathematician 2005
Which formula below is equal to
i54 + i125 ?
Round 1, Question 5
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5
a) 1 + i

Time Limit:
b) 1 – i
120 seconds
c) -1 + i
d) -1 – i
MATC's Who Wants to Be a Super
Mathematician 2005
Which formula below is equal to
i54 + i125 ?
R 1, Q 5 50:50
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5

Time Limit:
120 seconds
c) -1 + i
d) -1 – i
MATC's Who Wants to Be a Super
Mathematician 2005
Which formula below is equal to
i54 + i125 ?
R 1, Q 5 Answer
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5

Time Limit:
120 seconds
c) -1 + i
MATC's Who Wants to Be a Super
Mathematician 2005
Given that PA and PB are tangent to the
circle centered at O that passes through
A, B, and C and that angle AOB = 132°,
what is the measure of angle APC?
Round 1, Question 6
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6
a) 48°

Time Limit:
b) 24°
120 seconds
c) 20°
d) 28°
MATC's Who Wants to Be a Super
Mathematician 2005
Given that PA and PB are tangent to the
circle centered at O that passes through
A, B, and C and that angle AOB = 132°,
what is the measure of angle APC?
R 1, Q 6 50:50
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0.50
6

Time Limit:
b) 24°
120 seconds
c) 20°
MATC's Who Wants to Be a Super
Mathematician 2005
Given that PA and PB are tangent to the
circle centered at O that passes through
A, B, and C and that angle AOB = 132°,
what is the measure of angle APC?
R 1, Q 6 Answers
12
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1
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0.50
6

Time Limit:
b) 24°
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is 1/5 expressed as a binary number?
Round 1, Question 7
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7
a) 0.2

Time Limit:
b) 0.0011
180 seconds
c) 0.0011
d) 0.01
MATC's Who Wants to Be a Super
Mathematician 2005
What is 1/5 expressed as a binary number?
R 1, Q 7 50:50
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
Time Limit:
b) 0.0011
180 seconds
c) 0.0011
MATC's Who Wants to Be a Super
Mathematician 2005
What is 1/5 expressed as a binary number?
R 1, Q 7 Answer
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0.50
7

Time Limit:
b) 0.0011
180 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
A number is halved when reduced by a.
What is the number?
Round 1, Question 8
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8
a) a

Time Limit:
b) 4a
180 seconds
c) a/2
d) 2a
MATC's Who Wants to Be a Super
Mathematician 2005
A number is halved when reduced by a.
What is the number?
R 1, Q 8 50:50
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8

Time Limit:
b) 4a
180 seconds
d) 2a
MATC's Who Wants to Be a Super
Mathematician 2005
A number is halved when reduced by a.
What is the number?
R 1, Q 8 Answers
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0.50
8

Time Limit:
180 seconds
d) 2a
MATC's Who Wants to Be a Super
Mathematician 2005
Within a group of S students, fifteen like
Psychology and twenty like
Mathematics. Eight like both subjects
and nineteen like neither. What is the
value of S?
a) 54
Round 1, Question 9
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9

Time Limit:
b) 35
180 seconds
c) 46
d) 62
MATC's Who Wants to Be a Super
Mathematician 2005
Within a group of S students, fifteen like
Psychology and twenty like
Mathematics. Eight like both subjects
and nineteen like neither. What is the
value of S?
R 1, Q 9 50:50
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1
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0.50
9

Time Limit:
b) 35
180 seconds
c) 46
MATC's Who Wants to Be a Super
Mathematician 2005
Within a group of S students, fifteen like
Psychology and twenty like
Mathematics. Eight like both subjects
and nineteen like neither. What is the
value of S?
R 1, Q 9 Answers
12
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1
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0.50
9

Time Limit:
180 seconds
c) 46
MATC's Who Wants to Be a Super
Mathematician 2005
In the expansion of (2x –
what is the
coefficient of the x3y3 term?
5y)6,
Round 1, Question 10
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10
a) -20

Time Limit:
b) -1000
240 seconds
c) -20000
d) -15000
MATC's Who Wants to Be a Super
Mathematician 2005
In the expansion of (2x –
what is the
coefficient of the x3y3 term?
5y)6,
R 1, Q 10 50:50
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10

Time Limit:
240 seconds
c) -20000
d) -10000
MATC's Who Wants to Be a Super
Mathematician 2005
In the expansion of (2x –
what is the
coefficient of the x3y3 term?
5y)6,
R 1, Q 10 Answers
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0.50
10

Time Limit:
240 seconds
c) -20000
MATC's Who Wants to Be a Super
Mathematician 2005
What is the distance between the origin
and the point on the line
x y
 1
a b
that is closest to the origin ?
a) a2  b2
b)
ab
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11

Time Limit:
a 2  b2
c) ba
Round 1, Question 11
240 seconds
a 2  b2
d) a  b
MATC's Who Wants to Be a Super
Mathematician 2005
What is the distance between the origin
and the point on the line
x y
 1
a b
that is closest to the origin ?
a) a2  b2
b)
ab
R 1, Q 11 50:50
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3
$
2 .00
2
$
1 .00
1
$
0.50
11

Time Limit:
a 2  b2
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the distance between the origin
and the point on the line
x y
 1
a b
that is closest to the origin ?
b)
ab
R 1, Q 11 Answers
12
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1
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0.50
11

Time Limit:
a 2  b2
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Given f(x) =
xx.
What is ( f  f )(x)?
a) x  
x2
 2x 
b)  x 
Round 1, Question 12
12

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0.50
Time Limit:
240 seconds
x x1 

c)  x 
xx 


d) x
MATC's Who Wants to Be a Super
Mathematician 2005
Given f(x) =
xx.
What is ( f  f )(x)?
R 1, Q 12 50:50
12

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0.50
Time Limit:
240 seconds
x x1 

c)  x 
xx 


d) x
MATC's Who Wants to Be a Super
Mathematician 2005
Given f(x) =
xx.
What is ( f  f )(x)?
R 1, Q 12 Answers
12

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1
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0.50
Time Limit:
c)
x x1 

 x
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 2 Fastest Finger
Put the following points in order according to their distance from
the origin, starting with the point closest to the origin:
a) (3,4)
b) (0,-6)
c) (1,-1)
d) (2,0)
Correct Answer: c, d, a, b
MATC's Who Wants to Be a Super
Mathematician 2005
The value of this question is 2 raised to
what power?
a) -1
Round 2, Question 1
12
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1 .00
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0.50
1

Time Limit:
b) 0
60 seconds
c) 1
d) 2
MATC's Who Wants to Be a Super
Mathematician 2005
The value of this question is 2 raised to
what power?
a) -1
R 2, Q 1 50:50
12
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2
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1 .00
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1

Time Limit:
b) 0
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following web sites is a great
mathematics reference?
a) -1
R 2, Q 1 Answer
12
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1 .00
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0.50
1

Time Limit:
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
x2
The graph of +
kind of figure?
y2
= 5 generates what
Round 2, Question 2
12
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0.50
2
a) circle
1

Time Limit:
b) parabola
60 seconds
c) ellipse
d) hyperbola
MATC's Who Wants to Be a Super
Mathematician 2005
x2
The graph of +
kind of figure?
y2
= 5 generates what
R 2, Q 2 50:50
12
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0.50
2
a) circle
1

Time Limit:
b) parabola
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
x2
The graph of +
kind of figure?
y2
= 5 generates what
R 2, Q 2 Answer
12
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2
a) circle
1

Time Limit:
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the simplest radical form of
1282/3?
Round 2, Question 3
12
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3
1
a) 85
3

Time Limit:
b)16 3 4
60 seconds
3
c) 16 2
d) 32
MATC's Who Wants to Be a Super
Mathematician 2005
What is the simplest radical form of
1282/3?
60 seconds
R 2, Q 3 50:50
12
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1
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0.50
3

Time Limit:
b)16 3 4
c) 16 3 2
MATC's Who Wants to Be a Super
Mathematician 2005
What is the simplest radical form of
1282/3?
R 2, Q 3 Answer
12
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1
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0.50
3

Time Limit:
b)16 3 4
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
The three perpendicular bisectors of the
sides of a triangle meet at a common
point. This point is called the
_________ of the triangle.
Round 2, Question 4
12
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4
a) centroid

Time Limit:
b) incenter
120 seconds
c) circumcenter
d) orthocenter
MATC's Who Wants to Be a Super
Mathematician 2005
The three perpendicular bisectors of the
sides of a triangle meet at a common
point. This point is called the
_________ of the triangle.
R 2, Q 4 50:50
12
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4

Time Limit:
120 seconds
c) circumcenter
d) orthocenter
MATC's Who Wants to Be a Super
Mathematician 2005
The three perpendicular bisectors of the
sides of a triangle meet at a common
point. This point is called the
_________ of the triangle.
R 2, Q 4 Answer
12
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2
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1
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0.50
4

Time Limit:
120 seconds
c) circumcenter
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution of the following
system of equations?
2x + 3y = 19
6x – 3y = 21
Round 2, Question 5
12
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5
a) (3, 5)

Time Limit:
b) (5, 3)
120 seconds
c) (-3, 5)
d) (-3, -5)
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution of the following
system of equations?
2x + 3y = 19
6x – 3y = 21
R 2, Q 5 50:50
12
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0.50
5
a) (3, 5)

Time Limit:
b) (5, 3)
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution of the following
system of equations?
2x + 3y = 19
6x – 3y = 21
R 2, Q 5 Answer
12
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1
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0.50
5

Time Limit:
b) (5, 3)
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
A wheel with a 17 cm diameter spins at 4
revolutions per second. How many
radians, measured in multiples of ,
does the wheel sweep out in one
minute?
Round 2, Question 6
12
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6
a) 60

Time Limit:
b) 120
120 seconds
c) 240
d) 480
MATC's Who Wants to Be a Super
Mathematician 2005
A wheel with a 17 cm diameter spins at 4
revolutions per second. How many
radians, measured in multiples of ,
does the wheel sweep out in one
minute?
R 2, Q 6 50:50
12
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0.50
6

Time Limit:
120 seconds
c) 240
d) 480
MATC's Who Wants to Be a Super
Mathematician 2005
A wheel with a 17 cm diameter spins at 4
revolutions per second. How many
radians, measured in multiples of ,
does the wheel sweep out in one
minute?
R 2, Q 6 Answers
12
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1 .00
1
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0.50
6

Time Limit:
120 seconds
d) 480
MATC's Who Wants to Be a Super
Mathematician 2005
What are all of the real solutions of the
following equation?
log10(x2) = ln(e6)
Round 2, Question 7
12
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0.50
7
a) 1,000,000

Time Limit:
b) 1,000
c) 1,000 and –1,000
d) None of the above
MATC's Who Wants to Be a Super
Mathematician 2005
180 seconds
What are all of the real solutions of the
following equation?
log10(x2) = ln(e6)
R 2, Q 7 50:50
12
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1
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0.50
7

Time Limit:
c) 1,000 and –1,000
d) None of the above
MATC's Who Wants to Be a Super
Mathematician 2005
180 seconds
What are all of the real solutions of the
following equation?
log10(x2) = ln(e6)
R 2, Q 7 Answer
12
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1 .00
1
$
0.50
7

Time Limit:
c) 1,000 and –1,000
MATC's Who Wants to Be a Super
Mathematician 2005
180 seconds
The sum
cos 1° + cos 2° + cos 3° + … + cos 357° +
cos 358° + cos 359°
is equal to
a) 
Round 2, Question 8
12
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0.50
8

Time Limit:
b) 0
180 seconds
c) 1
d) -1
MATC's Who Wants to Be a Super
Mathematician 2005
The sum
cos 1° + cos 2° + cos 3° + … + cos 357° +
cos 358° + cos 359°
is equal to
R 2, Q 8 50:50
12
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1
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0.50
8

Time Limit:
b) 0
180 seconds
d) -1
MATC's Who Wants to Be a Super
Mathematician 2005
The sum
cos 1° + cos 2° + cos 3° + … + cos 357° +
cos 358° + cos 359°
is equal to
R 2, Q 8 Answers
12
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1
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0.50
8

Time Limit:
180 seconds
d) -1
MATC's Who Wants to Be a Super
Mathematician 2005
What is the domain of the following realvalued function?
f  x 
3x  27
2
4
Round 2, Question 9
12
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0.50
9
x2 9
a) All reals
b) All reals except -3

Time Limit:
180 seconds
c) All reals except +3
d) All reals except +3 and -3
MATC's Who Wants to Be a Super
Mathematician 2005
What is the domain of the following realvalued function?
f  x 
3x  27
2
4
R 2, Q 9 50:50
12
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0.50
9
x2 9
a) All reals

Time Limit:
180 seconds
d) All reals except +3 and -3
MATC's Who Wants to Be a Super
Mathematician 2005
What is the domain of the following realvalued function?
f  x 
3x  27
2
4
R 2, Q 9 Answers
12
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0.50
9
x2 9

Time Limit:
180 seconds
d) All reals except +3 and -3
MATC's Who Wants to Be a Super
Mathematician 2005
Who was the first to determine the formula
for the area of a circle?
(i.e., area = ½ circumference  radius).
a) Archimedes
Round 2, Question 10
12
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0.50
10

Time Limit:
b) Euclid
240 seconds
c) Heron
d) Pythagoras
MATC's Who Wants to Be a Super
Mathematician 2005
Who was the first to determine the formula
for the area of a circle?
(i.e., area = ½ circumference  radius).
a) Archimedes
R 2, Q 10 50:50
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0.50
10

Time Limit:
b) Euclid
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Who was the first to determine the formula
for the area of a circle?
(i.e., area = ½ circumference  radius).
a) Archimedes
R 2, Q 10 Answers
12
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4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10

Time Limit:
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following functions is/are not
periodic?

f  x   tan x   cos

x

3
 x 
g x  cos

 3
 x 


h x  cos
  sin( x)
 3
a) f(x)
Round 2, Question 11
12
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0.50
11

Time Limit:
b) g(x)
240 seconds
c) h(x)
d) g(x) and h(x)
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following functions is/are not
periodic?

f  x   tan x   cos

x

3
 x 
g x  cos

 3
 x 


h x  cos
  sin( x)
 3
R 2, Q 11 50:50
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0.50
11

Time Limit:
240 seconds
c) h(x)
d) g(x) and h(x)
MATC's Who Wants to Be a Super
Mathematician 2005
Which of the following functions is/are not
periodic?

f  x   tan x   cos

x

3
 x 
g x  cos

 3
 x 


h x  cos
  sin( x)
 3
R 2, Q 11 Answers
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
Time Limit:
240 seconds
c) h(x)
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of the following
inequality?
x 2
3
x
a) [-1, 0]
Round 2, Question 12
12

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0.50
Time Limit:
b) [-1, 0)
240 seconds
c) (-, -1]
d) (-, 0)
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of the following
inequality?
x 2
3
x
R 2, Q 12 50:50
12

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0.50
Time Limit:
b) [-1, 0)
240 seconds
c) (-, -1]
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of the following
inequality?
x 2
3
x
R 2, Q 12 Answers
12
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0.50
Time Limit:
b) [-1, 0)
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 3 Fastest Finger
Put these mathematicians in order of where each was born, starting
in the United States and going east:
a) Pythagoras
b) Newton
c) Nash
d) Ramanujan
Correct Answer: c, b, a, d
MATC's Who Wants to Be a Super
Mathematician 2005
What is the complete prime factorization
of the number 12?
a) 2·3
Round 3, Question 1
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1

Time Limit:
b) 22·3
60 seconds
c) 3·4
d) 2·6
MATC's Who Wants to Be a Super
Mathematician 2005
What is the complete prime factorization
of the number 12?
a) 2·3
R 3, Q 1 50:50
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
Time Limit:
b) 22·3
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the complete prime factorization
of the number 12?
R 3, Q 1 Answer
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
Time Limit:
b) 22·3
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What does the Fundamental Theorem of
Arithmetic state?
Round 3, Question 2
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2
a) 1 + 1 = 2
1
b) There are infinitely many prime numbers.
c) Every integer greater than 1 has a unique
prime factorization.
d) For every number x, 0x = 0.
MATC's Who Wants to Be a Super
Mathematician 2005

Time Limit:
60 seconds
What does the Fundamental Theorem of
Arithmetic state?
R 3, Q 2 50:50
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1
b) There are infinitely many prime numbers.
c) Every integer greater than 1 has a unique
prime factorization.
MATC's Who Wants to Be a Super
Mathematician 2005

Time Limit:
60 seconds
What does the Fundamental Theorem of
Arithmetic state?
R 3, Q 2 Answer
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2
1

Time Limit:
c) Every integer greater than 1 has a unique
prime factorization.
MATC's Who Wants to Be a Super
Mathematician 2005
60 seconds
What natural number doubles when
added to its reciprocal?
Round 3, Question 3
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3
a) 0

Time Limit:
b) 1
60 seconds
c) -1
d) 2
MATC's Who Wants to Be a Super
Mathematician 2005
What natural number doubles when added
to its reciprocal?
R 3, Q 3 50:50
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
Time Limit:
b) 1
60 seconds
c) -1
MATC's Who Wants to Be a Super
Mathematician 2005
What natural number doubles when added
to its reciprocal?
R 3, Q 3 Answer
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
Time Limit:
b) 1
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
The graph below is a plot of a polynomial
function. Assuming that all turning
points are shown, what is the minimum
degree of the polynomial?
Round 3, Question 4
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a) 2

Time Limit:
b) 3
120 seconds
c) 4
d) 5
MATC's Who Wants to Be a Super
Mathematician 2005
The graph below is a plot of a polynomial
function. Assuming that all turning
points are shown, what is the minimum
degree of the polynomial?
R 3, Q 4 50:50
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4

Time Limit:
b) 3
120 seconds
c) 4
MATC's Who Wants to Be a Super
Mathematician 2005
The graph below is a plot of a polynomial
function. Assuming that all turning
points are shown, what is the minimum
degree of the polynomial?
R 3, Q 4 Answer
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
Time Limit:
120 seconds
c) 4
MATC's Who Wants to Be a Super
Mathematician 2005
A square expands uniformly (i.e., it retains
the shape of a square) so as to triple the
length of its diagonal. By what factor
does the area of the square increase?
Round 3, Question 5
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5
a) 3

Time Limit:
b) 9
120 seconds
c) 3
d) 3 3
MATC's Who Wants to Be a Super
Mathematician 2005
A square expands uniformly (i.e., it retains
the shape of a square) so as to triple the
length of its diagonal. By what factor
does the area of the square increase?
R 3, Q 5 50:50
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0.50
5

Time Limit:
b) 9
120 seconds
c) 3
MATC's Who Wants to Be a Super
Mathematician 2005
A square expands uniformly (i.e., it retains
the shape of a square) so as to triple the
length of its diagonal. By what factor
does the area of the square increase?
R 3, Q 5 Answer
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0.50
5

Time Limit:
b) 9
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
The x intercept of a line is –2 and the
line passes through (6, 20). What
is the y intercept?
Round 3, Question 6
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6
a) 5

Time Limit:
b) -5
120 seconds
c) 4
d) -4
MATC's Who Wants to Be a Super
Mathematician 2005
The x intercept of a line is –2 and the
line passes through (6, 20). What
is the y intercept?
R 3, Q 6 50:50
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6
a) 5

Time Limit:
b) -5
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
The x intercept of a line is –2 and the
line passes through (6, 20). What
is the y intercept?
R 3, Q 6 Answers
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6
a) 5

Time Limit:
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Points A, B, C and D lie on a circle
of diameter 2 m. Arc ABC has an
arc length of 1 m. What is the
radian measure of angle ADC?
a) /4
Round 3, Question 7
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
Time Limit:
b) 1
180 seconds
c) ½
d) 2
MATC's Who Wants to Be a Super
Mathematician 2005
Points A, B, C and D lie on a circle
of diameter 2 m. Arc ABC has an
arc length of 1 m. What is the
radian measure of angle ADC?
a) /4
R 3, Q 7 50:50
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0.50
7

Time Limit:
b) 1
180 seconds
c) ½
d) 2
MATC's Who Wants to Be a Super
Mathematician 2005
Points A, B, C and D lie on a circle
of diameter 2 m. Arc ABC has an
arc length of 1 m. What is the
radian measure of angle ADC?
R 3, Q 7 Answer
12
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0.50
7

Time Limit:
180 seconds
c) ½
MATC's Who Wants to Be a Super
Mathematician 2005
100,000
is most closely approximated by:
Round 3, Question 8
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8
a) 314,000

Time Limit:
b) 3.14  10100,000
c) 9.87  1048,215
d) 9.71  1049,714
MATC's Who Wants to Be a Super
Mathematician 2005
180 seconds
100,000
is most closely approximated by:
R 3, Q 8 50:50
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0.50
8

Time Limit:
c) 9.87  1048,215
d) 9.71  1049,714
MATC's Who Wants to Be a Super
Mathematician 2005
180 seconds
100,000
is most closely approximated by:
R 3, Q 8 Answers
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0.50
8

Time Limit:
180 seconds
d) 9.71  1049,714
MATC's Who Wants to Be a Super
Mathematician 2005
On the interval (0, 1) how many
solutions are there to the equation
Round 3, Question 9
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0.50
9
 1 1
sin  
 x 2
a) only one solution

Time Limit:
b) more than one, but still a finite number
of solutions
180 seconds
c) an infinite but countable number
of solutions
d) an uncountable number of solutions
MATC's Who Wants to Be a Super
Mathematician 2005
On the interval (0, 1) how many
solutions are there to the equation
R 3, Q 9 50:50
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9
 1 1
sin  
 x 2
b) more than one, but still a finite number
of solutions
c) an infinite but countable number
of solutions
MATC's Who Wants to Be a Super
Mathematician 2005

Time Limit:
180 seconds
On the interval (0, 1) how many
solutions are there to the equation
R 3, Q 9 Answers
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9
 1 1
sin  
 x 2

Time Limit:
180 seconds
c) an infinite but countable number
of solutions
MATC's Who Wants to Be a Super
Mathematician 2005
Which formula below equals
when  = /2?
a) cos    i sin  
 2
ei
 i
 2
 
 
b) sin 2   i cos 2   1
c)
 
 
sin   i cos   1
 2
 2
d) cos 2   i sin 2   i
MATC's Who Wants to Be a Super
Mathematician 2005
Round 3, Question 10
12
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8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10

Time Limit:
240 seconds
Which formula below equals
when  = /2?
a) cos    i sin  
 2
 2
ei
 i
R 3, Q 10 50:50
12
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4
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3
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2
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1 .00
1
$
0.50
10

Time Limit:
240 seconds
d) cos 2   i sin 2   i
MATC's Who Wants to Be a Super
Mathematician 2005
Which formula below equals
when  = /2?
ei
R 3, Q 10 Answers
12
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2
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1 .00
1
$
0.50
10

Time Limit:
240 seconds
d) cos 2   i sin 2   i
MATC's Who Wants to Be a Super
Mathematician 2005
Which is the reduced fraction form
of the expression below?
8x 2 x  4 x  1

 2
3
6x
x x
2
8x  4 x  5
3x
2
a)
x 2  10 x  5
b) x 2  7 x  3
c)
Round 3, Question 11
12
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0.50
11

Time Limit:
8 x 3  12 x 2  x  5
3x 2  3x
16 x 3  24 x 2  2 x  10
d)
6x 2  6x
MATC's Who Wants to Be a Super
Mathematician 2005
240 seconds
Which is the reduced fraction form
of the expression below?
8x 2 x  4 x  1

 2
3
6x
x x
2
8x  4 x  5
3x
2
a)
R 3, Q 11 50:50
12
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1
$
0.50
11

Time Limit:
240 seconds
d)
16 x 3  24 x 2  2 x  10
6x 2  6x
MATC's Who Wants to Be a Super
Mathematician 2005
Which is the reduced fraction form
of the expression below?
8x 2 x  4 x  1

 2
3
6x
x x
2
8x  4 x  5
3x
2
a)
R 3, Q 11 Answers
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3
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2 .00
2
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1 .00
1
$
0.50
11

Time Limit:
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
When Kevin comes home at 9 PM, he
knows, based on past behavior, that his
two daughters Emmerson and Sawyer
each have a 50% chance of still being
awake at this time. As he pulls into the
driveway, he sees a light on in their
room. Now he’s sure that at least one of
them is still up. What is the probability
that Emmerson is awake?
a) 1
Round 3, Question 12
12

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2
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1 .00
1
$
0.50
Time Limit:
b) 2/3
240 seconds
c) 1/2
d) 1/3
MATC's Who Wants to Be a Super
Mathematician 2005
When Kevin comes home at 9 PM, he
knows, based on past behavior, that his
two daughters Emmerson and Sawyer
each have a 50% chance of still being
awake at this time. As he pulls into the
driveway, he sees a light on in their
room. Now he’s sure that at least one of
them is still up. What is the probability
that Emmerson is awake?
R 3, Q 12 50:50
12

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8 .00
4
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4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b) 2/3
240 seconds
c) 1/2
MATC's Who Wants to Be a Super
Mathematician 2005
When Kevin comes home at 9 PM, he
knows, based on past behavior, that his
two daughters Emmerson and Sawyer
each have a 50% chance of still being
awake at this time. As he pulls into the
driveway, he sees a light on in their
room. Now he’s sure that at least one of
them is still up. What is the probability
that Emmerson is awake?
R 3, Q 12 Answers
12

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5
$
8 .00
4
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4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b) 2/3
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 4 Fastest Finger
Put the following geometric entities in order of their dimensionality,
starting with the lowest dimension.
a) square
b) line
c) sphere
d) point
Correct Answer: d, b, a, c
MATC's Who Wants to Be a Super
Mathematician 2005
A two digit number is decreased by
54 when its digits are
interchanged. The tens digit is
three times the ones digit.
What is the number?
a) 93
Round 4, Question 1
12
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1 .00
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0.50
1

Time Limit:
b) 82
60 seconds
c) 62
d) 31
MATC's Who Wants to Be a Super
Mathematician 2005
A two digit number is decreased by
54 when its digits are
interchanged. The tens digit is
three times the ones digit.
What is the number?
a) 93
R 4, Q 1 50:50
12
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1 .00
$
0.50
1

Time Limit:
b) 82
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
A two digit number is decreased by
54 when its digits are
interchanged. The tens digit is
three times the ones digit.
What is the number?
a) 93
R 4, Q 1 Answer
12
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2
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1 .00
$
0.50
1

Time Limit:
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
You toss three coins.
What is the probability that at most two of
them come up heads?
Round 4, Question 2
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2
1
a)
8
1
3
b)
8

Time Limit:
60 seconds
5
c)
8
7
d)
8
MATC's Who Wants to Be a Super
Mathematician 2005
You toss three coins.
What is the probability that at most two of
them come up heads?
R 4, Q 2 50:50
12
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0.50
2
1
3
b)
8

Time Limit:
60 seconds
7
d)
8
MATC's Who Wants to Be a Super
Mathematician 2005
You toss three coins.
What is the probability that at most two of
them come up heads?
R 4, Q 2 Answer
12
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0.50
2
1

Time Limit:
60 seconds
7
d)
8
MATC's Who Wants to Be a Super
Mathematician 2005
If log10(500n) = 3, what is n?
Round 4, Question 3
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0.50
3
a) 3

Time Limit:
b) 2
60 seconds
c) ½
d) 100
MATC's Who Wants to Be a Super
Mathematician 2005
If log10(500n) = 3, what is n?
R 4, Q 3 50:50
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1
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0.50
3

Time Limit:
b) 2
60 seconds
c) ½
MATC's Who Wants to Be a Super
Mathematician 2005
If log10(500n) = 3, what is n?
R 4, Q 3 Answer
12
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4 .00
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2
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1 .00
1
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0.50
3

Time Limit:
b) 2
60 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
A, B, C and D all lie on a circle of radius 40 mm.
AB and CD intersect at E.
CE = 44 mm, DE = 9 mm, and AE = 66 mm.
What is the length of BE?
Round 4, Question 4
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0.50
4
a) 4 mm

Time Limit:
b) 13.5 mm
120 seconds
c) 8 mm
d) 6 mm
MATC's Who Wants to Be a Super
Mathematician 2005
A, B, C and D all lie on a circle of radius 40 mm.
AB and CD intersect at E.
CE = 44 mm, DE = 9 mm, and AE = 66 mm.
What is the length of BE?
R 4, Q 4 50:50
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0.50
4
a) 4 mm

Time Limit:
120 seconds
d) 6 mm
MATC's Who Wants to Be a Super
Mathematician 2005
A, B, C and D all lie on a circle of radius 40 mm.
AB and CD intersect at E.
CE = 44 mm, DE = 9 mm, and AE = 66 mm.
What is the length of BE?
R 4, Q 4 Answer
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1
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0.50
4

Time Limit:
120 seconds
d) 6 mm
MATC's Who Wants to Be a Super
Mathematician 2005
What are all the real solutions to the
following equation?
sin2(x)  6sin(x) = 7
Round 4, Question 5
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5
a) There are no real solutions.

Time Limit:
b) /2
120 seconds
c) 3/2
 3  4m 
d)  
 , for any integer m
 2 
MATC's Who Wants to Be a Super
Mathematician 2005
What are all the real solutions to the
following equation?
sin2(x)  6sin(x) = 7
R 4, Q 5 50:50
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0.50
5

Time Limit:
120 seconds
c) 3/2
 3  4m 
d)  
 , for any integer m
 2 
MATC's Who Wants to Be a Super
Mathematician 2005
What are all the real solutions to the
following equation?
sin2(x)  6sin(x) = 7
R 4, Q 5 Answer
12
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0.50
5

Time Limit:
120 seconds
 3  4m 
d)  
 , for any integer m
 2 
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of
x4
< |x| ?
Round 4, Question 6
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0.50
6
a) (-1, 0)  (0, 1)

Time Limit:
b) (-1, 1)
120 seconds
c) (0, 1)
d) All x with |x| > 1
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of
x4
< |x| ?
R 4, Q 6 50:50
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0.50
6
a) (-1, 0)  (0, 1)

Time Limit:
b) (-1, 1)
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the solution set of
x4
< |x| ?
R 4, Q 6 Answers
12
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0.50
6
a) (-1, 0)  (0, 1)

Time Limit:
120 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
What is the sum of the first 2005 natural numbers?
Round 4, Question 7
12
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0.50
7
a) 1,999,009

Time Limit:
b) 2,009,010
180 seconds
c) 2,011,015
d) 2,013,021
MATC's Who Wants to Be a Super
Mathematician 2005
What is the sum of the first 2005 natural numbers?
R 4, Q 7 50:50
12
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2
$
1 .00
1
$
0.50
7

Time Limit:
b) 2,009,010
180 seconds
c) 2,011,015
MATC's Who Wants to Be a Super
Mathematician 2005
What is the sum of the first 2005 natural numbers?
R 4, Q 7 Answer
12
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1 .00
1
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0.50
7

Time Limit:
180 seconds
c) 2,011,015
MATC's Who Wants to Be a Super
Mathematician 2005
A perfect number is a whole number equal to the sum of its proper divisors (i.e.,
the sum of all its whole number factors less than itself). For example, the first
two perfect numbers are 6 and 28; 6 = 1 + 2 + 3 and 28 = 1 + 2 + 4 + 7 + 14 .
Euclid proved that if 2r-1 is a prime number, then 2r-1(2r – 1) is a perfect number.
Euler proved that if p is an even perfect number, then there exists a prime number
r with 2r – 1 a prime number and p = 2r-1(2r – 1). For a prime number r, prime
numbers of the form 2r-1 are called Mersenne primes. Unresolved questions (at
least at the date of this contest, 2005) are whether there are any odd perfect
numbers (though it is known that if any odd perfect numbers exist they must be
larger than 10300 !) and whether there are infinitely many Mersenne primes.
If there are infinitely many perfect numbers, which of the following statements
must then be true?
a) There are infinitely many Mersenne primes.
b) Some perfect numbers are odd.
Round 4, Question 8
12
$
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9
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7
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8

Time Limit:
180 seconds
c) There are infinitely many odd perfect numbers.
d) a or c.
MATC's Who Wants to Be a Super
Mathematician 2005
A perfect number is a whole number equal to the sum of its proper divisors (i.e.,
the sum of all its whole number factors less than itself). For example, the first
two perfect numbers are 6 and 28; 6 = 1 + 2 + 3 and 28 = 1 + 2 + 4 + 7 + 14 .
Euclid proved that if 2r-1 is a prime number, then 2r-1(2r – 1) is a perfect number.
Euler proved that if p is an even perfect number, then there exists a prime number
r with 2r – 1 a prime number and p = 2r-1(2r – 1). For a prime number r, prime
numbers of the form 2r-1 are called Mersenne primes. Unresolved questions (at
least at the date of this contest, 2005) are whether there are any odd perfect
numbers (though it is known that if any odd perfect numbers exist they must be
larger than 10300 !) and whether there are infinitely many Mersenne primes.
If there are infinitely many perfect numbers, which of the following statements
must then be true?
a) There are infinitely many Mersenne primes.
R 4, Q 8 50:50
12
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8

Time Limit:
180 seconds
d) a or c.
MATC's Who Wants to Be a Super
Mathematician 2005
A perfect number is a whole number equal to the sum of its proper divisors (i.e.,
the sum of all its whole number factors less than itself). For example, the first
two perfect numbers are 6 and 28; 6 = 1 + 2 + 3 and 28 = 1 + 2 + 4 + 7 + 14 .
Euclid proved that if 2r-1 is a prime number, then 2r-1(2r – 1) is a perfect number.
Euler proved that if p is an even perfect number, then there exists a prime number
r with 2r – 1 a prime number and p = 2r-1(2r – 1). For a prime number r, prime
numbers of the form 2r-1 are called Mersenne primes. Unresolved questions (at
least at the date of this contest, 2005) are whether there are any odd perfect
numbers (though it is known that if any odd perfect numbers exist they must be
larger than 10300 !) and whether there are infinitely many Mersenne primes.
If there are infinitely many perfect numbers, which of the following statements
must then be true?
R 4, Q 8 Answers
12
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0.50
8

Time Limit:
180 seconds
d) a or c.
MATC's Who Wants to Be a Super
Mathematician 2005
a2
b2
c2
Natural numbers a, b, and c which satisfy + =
are called Pythagorean triples.
To generate them, let a = |m2 – n2| for natural numbers
m and n.
What should the choice be for b?
a) mn
Round 4, Question 9
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9

Time Limit:
b) 2mn
180 seconds
c) 4mn
d) m2 + n2
MATC's Who Wants to Be a Super
Mathematician 2005
a2
b2
c2
Natural numbers a, b, and c which satisfy + =
are called Pythagorean triples.
To generate them, let a = |m2 – n2| for natural numbers
m and n.
What should the choice be for b?
R 4, Q 9 50:50
12
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9

Time Limit:
b) 2mn
180 seconds
d) m2 + n2
MATC's Who Wants to Be a Super
Mathematician 2005
a2
b2
c2
Natural numbers a, b, and c which satisfy + =
are called Pythagorean triples.
To generate them, let a = |m2 – n2| for natural numbers
m and n.
What should the choice be for b?
R 4, Q 9 Answers
12
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9

Time Limit:
b) 2mn
180 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Let an be the n’th term of a Fibonacci sequence
with a0 = 1 and a1 = 1.
What is the value of an an+2 - (an+1)2 ?
a) 1
Round 4, Question 10
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10

Time Limit:
b) -1
240 seconds
c) (-1)n
d) (-1)n+1
MATC's Who Wants to Be a Super
Mathematician 2005
Let an be the n’th term of a Fibonacci
sequence with a0 = 1 and a1 = 1.
What is the value of an an+2 - (an+1)2 ?
R 4, Q 10 50:50
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10

Time Limit:
240 seconds
c) (-1)n
d) (-1)n+1
MATC's Who Wants to Be a Super
Mathematician 2005
Let an be the n’th term of a Fibonacci
sequence with a0 = 1 and a1 = 1.
What is the value of an an+2 - (an+1)2 ?
R 4, Q 10 Answers
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10

Time Limit:
240 seconds
c) (-1)n
MATC's Who Wants to Be a Super
Mathematician 2005
For a triangle the number of different
diagonals between vertices within the
triangle is zero. For a rectangle the answer
is two. What is the number of different
diagonals within a convex polygon of
twelve sides?
a) 54
Round 4, Question 11
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
Time Limit:
b) 24
240 seconds
c) 108
d) 144
MATC's Who Wants to Be a Super
Mathematician 2005
For a triangle the number of different
diagonals between vertices within the
triangle is zero. For a rectangle the answer is
two. What is the number of different
diagonals within a convex polygon of twelve
sides?
a) 54
R 4, Q 11 50:50
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
Time Limit:
240 seconds
c) 108
MATC's Who Wants to Be a Super
Mathematician 2005
For a triangle the number of different
diagonals between vertices within the
triangle is zero. For a rectangle the
answer is two. What is the number of
different diagonals within a convex
polygon of twelve sides?
a) 54
R 4, Q 11 Answers
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
Time Limit:
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
For what pairs of integers m and n is the
following equation true?

sin  
 12 
1
n m
a) (2, 6) and (6, 2)
Round 4, Question 12
12
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0.50
Time Limit:
b) (2, 3) and (3, 2)
240 seconds
c) (1, 6) and (6, 1)
d) no such pairs exist
MATC's Who Wants to Be a Super
Mathematician 2005
For what pairs of integers m and n is the
following equation true?

sin  
 12 
1
n m
a) (2, 6) and (6, 2)
R 4, Q 12 50:50
12
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0.50
Time Limit:
b) (2, 3) and (3, 2)
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
For what pairs of integers m and n is the
following equation true?

sin  
 12 
1
n m
a) (2, 6) and (6, 2)
R 4, Q 12 Answers
12
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Time Limit:
240 seconds
MATC's Who Wants to Be a Super
Mathematician 2005
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5 Fastest Finger
Put the following functions in order of the number of roots each one
has, starting with the fewest roots.
a) f(x) = x3 – x
b) f(x) = x2 – 1
c) f(x) = 3x – 2
d) f(x) = x4 + 2x3 – x2 – 2x
Correct Answer: c, b, a, d
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 1
a)
12
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1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 1 50:50
a)
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
Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 1 Answer
a)
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
Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 2
?
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2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 2 50:50
?
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2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 2 Answer
?
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2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 3
?
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3
a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 3 50:50
?
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a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 3 Answer
?
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3
a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 4
?
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4
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 4 50:50
?
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4
a)

Time Limit:
b)
120
seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 4 Answer
?
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4
a)

Time Limit:
b)
120
seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 5
?
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5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 5 50:50
?
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5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 5 Answer
?
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5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 6
?
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6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 6 50:50
?
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6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 6 Answers
?
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6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 7
?
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7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 7 50:50
?
12
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10
$
256 .00
9
$
128 .00
8
$
65 .00
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 7 Answer
?
12
$
1,024.00
11
$
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10
$
256 .00
9
$
128 .00
8
$
65 .00
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 8
?
12
$
1,024.00
11
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10
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9
$
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$
65 .00
7
$
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6
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 8 50:50
?
12
$
1,024.00
11
$
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10
$
256 .00
9
$
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$
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7
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6
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 8 Answers
?
12
$
1,024.00
11
$
512 .00
10
$
256 .00
9
$
128 .00
$
65 .00
7
$
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 9
?
12
$
1,024.00
11
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10
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$
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8
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7
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 9 50:50
?
12
$
1,024.00
11
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10
$
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$
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8
$
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7
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 9 Answers
?
12
$
1,024.00
11
$
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10
$
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$
128 .00
8
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7
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 10
?
12
$
1,024.00
11
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$
256 .00
9
$
128 .00
8
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7
$
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 10 50:50
?
12
$
1,024.00
11
$
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$
256 .00
9
$
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8
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7
$
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 10 Answers
?
12
$
1,024.00
11
$
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$
256 .00
9
$
128 .00
8
$
65 .00
7
$
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6
$
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 11
?
12
$
1,024.00
$
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10
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9
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8
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7
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6
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 11 50:50
?
12
$
1,024.00
$
512 .00
10
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256 .00
9
$
128 .00
8
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7
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6
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 11 Answers
?
12
$
1,024.00
$
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10
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9
$
128 .00
8
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7
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32 .00
6
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 5, Question 12
?
12
a)

$
1,024.00
11
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10
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9
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8
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7
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6
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 12 50:50
?
12
a)

$
1,024.00
11
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
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7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 12 Answers
?
12
a)

$
1,024.00
11
$
512 .00
10
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256 .00
9
$
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8
$
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7
$
32 .00
6
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Rules
General
• You only have a set amount of
time to answer each question.
• You can quit at any time,
thereby winning the amount of
the last question answered.
• If you answer incorrectly, you
only win the amount of the last
milestone you passed.
• Milestones are at $2.00,
$16.00, $128.00, and $1024.00
Lifelines
• You can get help from a
lifeline at any time.
• You can use more than one
lifeline per question, but
you only get to use each
lifeline once per game!
• 50:50 Lifeline: eliminates
two incorrect answers.
• Ask A Teacher Lifeline:
ask your teacher for help.
• Ask the Audience Lifeline:
the audience applauds
loudest for the answer they
think is correct.
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6 Fastest Finger
Put the following angle measures in order starting with the smallest
angle measure.
a) /4 radians
b) 100 gradians
c) 30
d) 0
Correct Answer: d, c, a, b
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 1
a)
12
$
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11
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9
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
$
0.50
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 1 50:50
a)
12
$
1,024.00
11
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
$
0.50
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 1 Answer
a)
12
$
1,024.00
11
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9
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8
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7
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6
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
$
0.50
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 2
?
12
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1,024.00
11
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10
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9
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8
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7
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5
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4
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4 .00
3
$
2 .00
$
1 .00
$
0.50
2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 2 50:50
?
12
$
1,024.00
11
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10
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9
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8
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7
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6
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5
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4
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4 .00
3
$
2 .00
$
1 .00
$
0.50
2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 2 Answer
?
12
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11
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9
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5
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4
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4 .00
3
$
2 .00
$
1 .00
$
0.50
2
a)
1

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 3
?
12
$
1,024.00
11
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9
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8
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7
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6
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5
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4
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4 .00
$
2 .00
2
$
1 .00
1
$
0.50
3
a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 5, Q 3 50:50
?
12
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11
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9
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8
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7
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6
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5
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4
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4 .00
$
2 .00
2
$
1 .00
1
$
0.50
3
a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 3 Answer
?
12
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11
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9
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8
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7
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6
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5
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4
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4 .00
$
2 .00
2
$
1 .00
1
$
0.50
3
a)

Time Limit:
b)
60 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 4
?
12
$
1,024.00
11
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10
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9
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8
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7
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6
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16 .00
5
$
8 .00
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
4
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 4 50:50
?
12
$
1,024.00
11
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10
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9
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8
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7
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6
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5
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8 .00
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
4
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 4 Answer
?
12
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11
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9
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8
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7
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6
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5
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$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
4
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 5
?
12
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11
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10
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9
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8
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7
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6
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$
8 .00
4
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3
$
2 .00
2
$
1 .00
1
$
0.50
5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 5 50:50
?
12
$
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11
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10
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9
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8
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7
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6
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$
8 .00
4
$
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3
$
2 .00
2
$
1 .00
1
$
0.50
5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 5 Answer
?
12
$
1,024.00
11
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10
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9
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7
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6
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8 .00
4
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3
$
2 .00
2
$
1 .00
1
$
0.50
5
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 6
?
12
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11
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9
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8
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7
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5
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8 .00
4
$
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3
$
2 .00
2
$
1 .00
1
$
0.50
6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 6 50:50
?
12
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11
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9
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5
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4
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4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 6 Answers
?
12
$
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11
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9
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7
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5
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4
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3
$
2 .00
2
$
1 .00
1
$
0.50
6
a)

Time Limit:
b)
120 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 7
?
12
$
1,024.00
11
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10
$
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9
$
128 .00
8
$
65 .00
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 7 50:50
?
12
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11
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10
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9
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8
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32 .00
6
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16 .00
5
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8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 7 Answer
?
12
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1,024.00
11
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10
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9
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8
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5
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8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
7
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 8
?
12
$
1,024.00
11
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10
$
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9
$
128 .00
$
65 .00
7
$
32 .00
6
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16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 8 50:50
?
12
$
1,024.00
11
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10
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9
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$
65 .00
7
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6
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16 .00
5
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8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 8 Answers
?
12
$
1,024.00
11
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10
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9
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128 .00
$
65 .00
7
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32 .00
6
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5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
8
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 9
?
12
$
1,024.00
11
$
512 .00
10
$
256 .00
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 9 50:50
?
12
$
1,024.00
11
$
512 .00
10
$
256 .00
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 9 Answers
?
12
$
1,024.00
11
$
512 .00
10
$
256 .00
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
9
a)

Time Limit:
b)
180 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 10
?
12
$
1,024.00
11
$
512 .00
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 10 50:50
?
12
$
1,024.00
11
$
512 .00
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 10 Answers
?
12
$
1,024.00
11
$
512 .00
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
10
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 11
?
12
$
1,024.00
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 11 50:50
?
12
$
1,024.00
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 11 Answers
?
12
$
1,024.00
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
11
a)

Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
Round 6, Question 12
?
12
a)

$
1,024.00
11
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 12 50:50
?
12
a)

$
1,024.00
11
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005
R 6, Q 12 Answers
?
12
a)

$
1,024.00
11
$
512 .00
10
$
256 .00
9
$
128 .00
8
$
65 .00
7
$
32 .00
6
$
16 .00
5
$
8 .00
4
$
4 .00
3
$
2 .00
2
$
1 .00
1
$
0.50
Time Limit:
b)
240 seconds
c)
d)
MATC's Who Wants to Be a Super
Mathematician 2005