Mathematics Problem Challenge
2002-2003


Questions, answers, or comments? Contact Prof Wardlaw at mathprob@nadn.navy.mil or through his mailbox on the top floor of Chauvenet.

Problems are text versions of emails or "Word" files; use your browser's back button to return to this page.

Problems from earlier academic years: 2001-2002 2000-2001 1999-2000 1998-1999

2002-2003

Problem Date

Description

125

 31 Aug 02 A set of points in space
126 02 Oct 02 A continued fraction
127 15 Nov 02 A double integral
128 06 Jan 03 Sequences with given sum
129 01 Feb 03 Sequences with sum at most a given number
130 07 Mar 03 A matrix game
131 02 Apr 03 An integral composition

 
2001-2002
Problem Date

Description

118

 05 Sep 01 Sums of randomly selected numbers

119

 10 Oct 01 Spiders, sox, and shoes

120

 08 Nov 01 f '(x^3) = 3x^2: A derivative function?

121

 14 Jan 02 Winning the lottery

122

 1 Feb 02 Fibonacci numbers

123

 7 Mar 02 Getting around a corner

124

 1 Apr 02 Random triangles

2000-2001

Problem Date

Description

113

 14 Sep 00 Planes equidistant from four points in space

114

 21 Sep 00 To catch a thief
115 02 Oct 00 To change some tires

116/A

 13 Feb 01

Odd or even determinants

117/A

 16 Mar 01

Regions in the plane formed by lines

 

1999-2000

Problem Date

Description

95

 07 Sep 1999

Patriot League Volleyball

95 +

 15 Sep 1999 Addendum
96 15 Sep 1999 Handshake Problem
97 23 Sep 1999

Box Volume and Surface Area

98

 29 Sep 1999 Random Formation of a Triangle

99

 12 Oct 1999

Five 90-Degree Rotations of a Rectangle

100

 13 Oct 1999 15 Wires Under the Severn River

101

 28 Oct 1999

Functional Equation: F(x)  F(F(x)) = 1

102

 04 Nov 1999

Partitioning a Square into Two Rectangles
103 10 Nov 1999 Labeling Beads on a Bracelet
104 18 Nov 1999 Autobiographical Numbers
105 03 Dec 1999 Zeroes in One Billion Factorial
106 11 Jan 2000 Diophantine Equation: XY = X + Y + 2000
107 20 Jan 2000 Traversing a Cave with One Flashlight
108 02 Feb 2000 Stacking Four Spherical Cannonballs
109 10 Feb 2000 Friendly Positive Integers
110 01 Mar 2000 Probability of Check on a Chessboard
111 24 Mar 2000 Maximizing the Product: (1-x)(1-y)(1-z)
112 06 Apr 2000 Points and Line Segments

 
 
 

1998-1999

Problem Date

Description

75

 18 Sep 1998

Cutting a Triangle into 13 Congruent Triangles

75 +

 28 Sep 1998 Hint
76 09 Oct 1998 Average Stock Price
77 16 Oct 1998

A Game with Pebbles

78

 23 Oct 1998 Fitting a Square in a Triangle

79

 29 Oct 1998

Chicken McNuggets

80

 05 Nov 1998 Splitting a Triangle into Two Isosceles Triangles

81

 12 Nov 1998

International Delegates and Common Languages

82

 19 Nov 1998

Finding a Buried Wire
83 11 Jan 2000 Inscribing a Cube in a Cone
84 20 Jan 2000 The Plebe's Dream of Calculus
85 28 Jan 2000 Partitioning a 3-4-5 Right Triangle
86 05 Feb 2000 Blindfolded Coin Game
87 11 Feb 2000 An Unusual Coin Game
88 18 Feb 2000 Determination of 10 Integers
89 26 Feb 2000 Polynomial: P(k) = 1/k
90 19 Mar 2000 A Random Triangle in a Circle
91 26 Mar 2000 A Round-Robin Tournament
92 02 Apr 2000 Circles Tangent to a Triangle
93 09 Apr 2000 Who Gets the Most Frosting?
94 16 Apr 2000 Intervals with Integer Endpoints

 

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