- Tiling Triangles - Suzanne Alejandre
Pre-algebra, difficulty level 3. Given the dimensions of a large triangle, find the dimensions of the 25 small triangles that tile it.
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- Timber! - Steve Risberg
Pre-algebra, difficulty level 3. A tree breaks three-eighths of the way up the trunk, and the tip hits the ground 40 feet from the base of the trunk. How tall was the tree?
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- Transforming a Triangle - Annie Fetter
Geometry, difficulty level 1. Given two triangles on a coordinate plane, find a pair of transformations that will map the first triangle onto the second triangle.
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- Triangle in Motion? - Annie Fetter
Geometry, difficulty level 2. Given triangle ABC, the triangle is translated and then reflected, and
the locations of A' and A'' are given. Find the locations of B'' and C''.
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- Triangle Transformation - Annie Fetter
Geometry, difficulty level 3. Given triangles ABC and DEF on the coordinate plane and a list of transformations, explain how to map ABC onto DEF in only two steps.
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- TV Dimensions - Annie Fetter
Geometry, difficulty level 2. If the aspect ratio of a TV is 16:9 and the diagonal measures 50
inches, what are the dimensions of the screen?
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- Two Times Two Angles - Annie Fetter
Geometry, difficulty level 3. The measures of two angles are in the ratio 5:3. The measure of the larger angle is 30 greater than half the difference of the angles. Find the measure of each angle.
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- Up Periscope! - Annie Fetter
Geometry, difficulty level 2. Given a diagram of a broken submarine periscope, explain which angles need to be equal in order to for the image to reach the eyepiece.
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- Waiting for Hot Water - Annie Fetter
Geometry, difficulty level 2. If a water pipe is 1/2" in diameter, the faucet is about 35 feet from the hot water tank, and the faucet runs at 3 gallons per minute, how long will it take the hot water in the tank to reach the faucet?
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- The Water in My Pool - Leigh Nataro
Geometry, difficulty level 2. Based on one measurement taken from the edge of my circular pool,
what is the volume of my pool?
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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 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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- 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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- Winning at Biathlon - Annie Fetter
Geometry, difficulty level 3. Figure out which of two fictional biathletes will win a race.
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- Wraparound Universe - Jeff Weeks
Pre-algebra, difficulty level 4. Explore the game of tic-tac-toe using a cylindrical tic-tac-toe board.
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