- Arc to Area - Annie Fetter
Geometry, difficulty level 4. Given an arc with a measure of 40 degrees whose endpoints are at (1,5) and (5,3), find the area of the circle that contains the arc.
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- Center Coordinates - Leigh Nataro
Trig/Calc, difficulty level 2. Find the coordinates of the center of a circle circumscribed around a triangle.
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- The Coordinated Quadrilateral - Annie Fetter
Geometry, difficulty level 3. A quadrilateral has vertices at (-3,6), (-1,-2), (7,-4), and (5,4). What kind of quadrilateral is it?
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- Coordinated Triangle? - Annie Fetter
Geometry, difficulty level 3. Triangle ABC has an area of 24 units^2. Point A is at (6,0); point B is at (10,0). Where can point C be? What if the triangle is
isosceles?
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- Descartes' Triangle? - Annie Fetter
Geometry, difficulty level 3. Two vertices of a triangle are located at (0,6) and (0,12). If the area of the triangle is 12 square units, where can the third vertex be? What if the triangle is also isosceles?
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- Exploring Area - Judy Ann Brown
Pre-Algebra, difficulty level 4. Find information about Pick's theorem and solve an area problem using this method.
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- Graphing for Area - Judy Ann Brown
Pre-Algebra, difficulty level 2. Graph six points and find the area of the resulting hexagon.
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- The Mad Hatter's Gone! - Leanne Gater
Math Fundamentals, difficulty level 4. Explore a coordinate plane and help the Cheshire Cat find his favorite cheese.
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- Mini-Movie Theater Seating - Chrissy Stewart (adapted)
Elementary, difficulty level 3. How many rowdy kids can sit in the Mini-Movie Theater?
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- Mirror, Mirror - Annie Fetter
Geometry, difficulty level 2. In the given image, the green polygon is a reflection of the purple
polygon. Find the equation of the line of reflection.
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- Mirror Musing - Suzanne Alejandre
Pre-Algebra, difficulty level 3. Using the information given in a picture of Hagrid and Baby Norbert, find out how tall each of them is.
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- One Area - Many Solutions - Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a triangle given the coordinates of its vertices.
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- Picture-Perfect Geometry - Judy Ann Brown
Pre-Algebra, difficulty level 2. Graph four points and name the figure that you have drawn.
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- Probability on the Board - Ethel Breuche
Algebra, difficulty level 3. On a 6 x 6 grid, what is the probability that a marker starting at (0,0) will pass through (3,3) when moved either north or
east?
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- A Problematic Pizza - Leigh Nataro
Trig/Calc, difficulty level 2. Find the area of a specific region of a circle based on given information.
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- Rotating a Triangle - Annie Fetter
Geometry, difficulty level 2. Given a triangle on a coordinate grid, find the new coordinates of the vertices if you rotate the triangle 90 degrees about the origin.
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- Sighting in a Rifle - Annie Fetter
Geometry, difficulty level 3. Analyze the given target of four shots, and tell me how far to move the scope on my rifle so that the group of shots will be centered around the bull's-eye.
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- Similar Perimeter - Annie Fetter
Geometry, difficulty level 2. Find the coordinates of the vertices of a triangle similar to the
given triangle with the designated perimeter.
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- Stina's Hike - Annie Fetter
Pre-Algebra, difficulty level 2. Choose the graph that best represents Stina's hike.
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- A Tale of Two Intercepts - Terry Trotter
Algebra, difficulty level 3. Find the distance between two y-intercepts.
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- Tangents and Slopes - Leigh Nataro
Trig/Calc, difficulty level 3. Use the tangent ratio to show that the product of the slopes of two perpendicular lines is -1.
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- Taxicab Distances - Annie Fetter
Geometry, difficulty level 1. Find a general formula for distance in a taxicab geometry universe.
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- The North Hunterdon Triangle - Annie Fetter
Geometry, difficulty level 2. Given points O:(0,0) and Q:(a,0), describe the possible locations of
point P such that triangle OPQ is first isosceles and then equilateral.
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- A Triangle's Area - Canadian Open Math Challenge 1999 via Tim Lang
Algebra, difficulty level 3. Find the "b" values of two lines needed to form two congruent triangles of a given area.
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- X Marks the Spot - Terry Trotter
Algebra, difficulty level 3. A Spanish pirate buries his treasure on an island in a very mathematical manner. Can you locate the "X" spot?
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