- The Unit Circle Triangle - Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of the largest right triangle in the first quadrant of the unit circle.
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- Visiting Friends - Annie Fetter
Geometry, difficulty level 2. Annie and Suzanne live near the same train station. If you are told
how long it takes to walk from each of their houses to the train
station, what can we say about how long it takes to walk at this rate
directly from
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- Voulez Vous des Voussoirs? - Annie Fetter
Geometry, difficulty level 2. Voussoirs are trapezoidal chunks of stone used to build stone arches.
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- Walking Fast - Annie Fetter
Geometry, difficulty level 2. A woman with a 28" inseam takes 5 steps for every 4 steps I take. I have a 34" inseam and cover 20 yards in 20 steps. Am I covering more ground because my legs are longer, or because my legs form a larger angle with each
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- What Do We Know About Tangents? - Annie Fetter
Geometry, difficulty level 2. Given two externally tangent congruent circles, construct a segment from the center of one circle tangent to the other circle. If the length of this segment is 10, what's the radius of the circles?
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- What Is My Dimension? - Leigh Nataro
Trig/Calc, difficulty level 4. Find the fractal dimension of the Koch curve.
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- What's My Angle? - Annie Fetter
Geometry, difficulty level 2. Given line AE, point C between A and E, ray CB perpendicular to line AE, and point D on the same side of AE as point B. If CD equals DE and angle CDE is x degrees, what is the angle measure of angle BCD?
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- What's My Angle? - Terry Trotter
Algebra, difficulty level 3. Using concepts of vertical angles and supplementary angles, solve two quadratic expressions to find the measure of a given angle.
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- What's This Polygon? - Annie Fetter
Geometry, difficulty level 4. Triangle PQR is inscribed in a circle. If PR is a side of a 21-sided inscribed regular polygon, PQ is a side of a 28-sided incribed regular polygon, and QR is a side of an n-sided inscribed regular polyon, find a possible
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- Where's J? - Annie Fetter
Geometry, difficulty level 2. Given an isosceles triangle with one base vertex (O) on the origin, the other base vertex (J) on the positive x-axis, and the top vertex at the point (e,f), find the coordinates of J.
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- Which Pizza? - Annie Fetter
Geometry, difficulty level 2. Which is a better deal - a 16" diameter pizza for $11 or a 10" diameter pizza for $7?
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- Who Wants to be an Archery Champion? - Annie Fetter
Geometry, difficulty level 2. To determine the winner, calculate the "string length" for each of two archery rounds.
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- Why Does This Construction Work? - Annie Fetter
Geometry, difficulty level 3. Explain why Desmond's construction works.
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- World Series Snafu? - Annie Fetter
Geometry, difficulty level 2. Determine what's wrong with the "official" dimensions of "home plate" in baseball.
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