- Mad About Medians? - Annie Fetter
Geometry, difficulty level 3. The medians drawn from the vertices of the acute angles of a right triangle are 5 and sq root of 40. What is the length of the hypotenuse?
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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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- Make a Square! - Annie Fetter
Geometry, difficulty level 3. Make two cuts in the given figure and rearrange the pieces to make a square.
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- Making a Quilt of Squares - Annie Fetter
Geometry, difficulty level 4. Figure out the dimensions of some closely packed squares.
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- Making a Six Pointed Star - Annie Fetter
Geometry, difficulty level 3. Take a circle of paper. Explain how to fold it so that you can make just one cut and get a "perfect" six-pointed star.
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- Making Scalene Triangles - Annie Fetter
Geometry, difficulty level 2. A scalene triangle has sides of 8, x, and 19. The sides are listed in order from smallest to largest. What are all of the possible integer values for x?
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- Making Triangles I - Annie Fetter
Geometry, difficulty level 2. Take a scalene triangle. The lengths of the sides, in size order, are 5, x, and 15. What are the possible integral values for x?
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- Making Triangles II - Annie Fetter
Geometry, difficulty level 2. Given a scalene triangle with sides, listed from shortest to longest, of 6, x, and 16, what are all the possible integer values for x?
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- Managing a Mall - Leigh Nataro
Trig/Calc, difficulty level 2. Find how many square feet there are in a quadrilateral-shaped store.
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- Marsha's Triangle - Marsha Hurwitz
Algebra, difficulty level 3. Find the area of an isosceles triangle whose two legs are on the x and y axes and whose hypotenuse passes through the point (c,d).
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- Measuring the Matterhorn - Annie Fetter
Geometry, difficulty level 2. Use some right triangle trigonometry to calculate the height of the
Matterhorn at Disneyland.
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- The "Middle" Triangle - Annie Fetter
Geometry, difficulty level 2. In rectangle ABCD, E is the midpoint of BD, F is the midpoint of ED, AD is 10 cm, and AB is 20 cm. What's the area of AEF?
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- Midpoint Magic - Terry Trotter
Algebra, difficulty level 4. Connecting the midpoints of a general quadrilateral yields a special new four-sided figure. What is it?
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- A Minor Arc Subtended by a What?? - Annie Fetter
Geometry, difficulty level 2. A chord of a circle is the hypotenuse of an isosceles right triangle whose legs are radii of the circle. The length of the chord is 6 times the square root of 2. What is the length of the minor arc subtended by the chord?
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- Missing Angle Mystery - Terry Trotter
Algebra, difficulty level 2. Help Detective Sam Spade solve a robbery of valuable polygons from Mrs. Hempstead's famous collection.
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- The Mobius Band - Annie Fetter
Geometry, difficulty level 2. Build a Mobius band and explain what happens when you cut it up.
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- More Mowing Madness - George Miller and Lisa Lavelle
Math Fundamentals, difficulty level 4. Where should Matt and Georgette change places to evenly split their "Matt-mowing" work?
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- More Tangents! - Annie Fetter
Geometry, difficulty level 3. Given a square ABCD inscribed in a unit circle. AB is extended to P, where PC is tangent to the circle. Find the length of PD.
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- Mowing Madness - George Miller and Lisa Lavelle
Math Fundamentals, difficulty level 2. Using a special "Matt-mowing" technique, find the dimensions of the last rectangle to be mowed in a 48 ft. by 64 ft. yard.
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- Mowing My Lawn - Annie Fetter
Geometry, difficulty level 3. My lawn is 75 feet by 42 feet, my lawn mower cuts 18 inches at a time. I am mowing in a circular pattern, and have finished part of the lawn. That part took me 8 minutes. How much longer will I have to mow to finish the
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- Name This Quadrilateral! - Annie Fetter
Geometry, difficulty level 3. A quadrilateral is drawn on a piece of paper. It has one pair of opposite sides congruent, the other pair not congruent, and a pair of opposite angles that are supplementary. What is this figure, and how do you know?
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- Napoleon's River - Annie Fetter
Geometry, difficulty level 2. A soldier uses the visor of his cap to measure the distance across the river.
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- Nets of a Cube - Annie Fetter
Geometry, difficulty level 2. When you fold up the given net of a cube, what shape is formed by the segments on the faces of the cube?
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- The New Rug - Lisa Lavelle
Elementary, difficulty level 3. Find the number of squares needed to cover the Reading area.
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- Nine Congruent Rectangles - Annie Fetter
Geometry, difficulty level 2. Nine congruent rectangles form a larger rectangle whose area is 720 units^2. What's the perimeter of the large rectangle?
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- The Ninja Mission - Steve Earth
Trig/Calc, difficulty level 4. Find the measurement of a spike's angle, given the star's perimeter.
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- Office Tile Choice - Judy Ann Brown
Pre-algebra, difficulty level 3. Find the total cost of purchasing tiles for my office.
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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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- One Last Bit of Fun - Annie Fetter
Geometry, difficulty level 3. In parallelogram ABCD, the bisector of angle ABC intersects AD at P. If PD=5, BP=6, and CP=6, what is the value of AB?
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- Overlapping Squares - Annie Fetter
Geometry, difficulty level 3. Two squares, one 8 cm on a side and the other 10 cm, overlap. A corner of the 10 cm square is anchored at the middle of the 8 cm square and can rotate around that point. What are the maximum and minimum areas they'll overlap?
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- Partial Area - Judy Ann Brown
Pre-algebra, difficulty level 3. Find the area of the portion of the circle that is not included inside the inscribed square.
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- Patterning a Shotgun - Annie Fetter
Geometry, difficulty level 2. Construct a circular target with nine regions of equal area, with one a circle in the middle and spokes going out to the edge. If the whole circle is 6 feet in diameter, what will the diameter of the inner circle be?
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- Pentomino Cubes - Annie Fetter
Geometry, difficulty level 3. Given the 12 pentominoes, explain which ones can't be used as the basis for the net of a cube. Then take three of the ones that will work and explain where you can attach the sixth square to make the full net.
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- A Picture Is Worth A Thousand Words - Leigh Nataro
Trig/Calc, difficulty level 4. Find the ratio of the area of the overlapping region to the area of non-overlapping regions of two circles.
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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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- Play Ball! - Annie Fetter
Geometry, difficulty level 2. Figure out how to scale down parts of a basketball court so that it's "woman sized," assuming that the average men's college player is 6'3" and the average woman is 5'6".
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- Playing with Matchsticks - Annie Fetter
Geometry, difficulty level 2. Thirteen matchsticks are arranged to make six equal regions. Take away one of the matchsticks and arrange the remaining twelve so that they still make six equal regions.
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- Playing with Paint - Annie Fetter
Geometry, difficulty level 2. Explain what three-dimensional solid would make a given "trail" if it were dipped in paint and rolled on the floor.
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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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- Product Max - Leigh Nataro
Trig/Calc, difficulty level 2. Find the maximum value for two numbers whose sum is a.
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- Proofs Without Words I - Annie Fetter
Geometry, difficulty level 2. Explain how these pictures and algebraic expressions are related. Draw your own picture that illustrates an algebraic concept.
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- Proofs Without Words II - Annie Fetter
Geometry, difficulty level 2. Based on a simple example that illustrates the distributive property, explain what the second picture illustrates.
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- The Protean Perimeter - Annie Fetter
Geometry, difficulty level 3. Given isosceles triangle ABC, with AC=AB=5 inches and angle CAB greater than or equal to 60, what's the perimeter of the triangle if all the edgelengths must be integers?
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- The Puzzling Parallelogram - Annie Fetter
Geometry, difficulty level 3. Draw a parallelogram ABCD with AB=10. Draw EF with E between A and B and F between C and D such that EF divides the area of ABCD in half. If EF=4, what is FD?
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- Quad Query - Annie Fetter
Geometry, difficulty level 2. Given quadrilateral ABCD, with E the midpoint of AB and F the midpoint of AD. The area of FAEC is 13. What's the area of ABCD?
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- A Quickie Triangle Puzzle - Sasha Sokolsky
Geometry, difficulty level 2. Find the length of the unknown side of this triangle using knowledge of special right triangles.
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- Rabbit's Run - Lisa Lavelle
Math Fundamentals, difficulty level 1. Help Regina develop options for building her rabbit's run.
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- Regional Ratios - Annie Fetter
Geometry, difficulty level 2. A regular hexagon and an equilateral triangle have the same perimeter. What's the ratio of their areas?
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- Returning to Napoleon's River - Annie Fetter
Geometry, difficulty level 3. A soldier stands on the bank of a river and uses his cap to measure its width. How far off will he be if he drops his head even one degree?
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- The Return of the Parallelogram I - Annie Fetter
Geometry, difficulty level 3. Given parallelogram ABCD, with AB=10, and E on AB and F on CD. If EF is 4, what is the area of ABCD?
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