The Math Forum - Math Library - Euclidean/Plane Geom.

Drexel dragonThe Math ForumDonate to the Math Forum

The Math Forum Problems Library

Browse the Library
Home : Math Topics : Geometry : Euclidean/Plane Geom.

_____________________________________
Library Home || Primary || Math Fundamentals || Pre-Algebra ||
Algebra || Geometry || Discrete Math || Trig/Calc
_____________________________________

(membership required) || Become a Member || Learn about Membership
_____________________________________


  All Sites - 125 items found, showing 51 to 100

  1. Going Global - Annie Fetter & NCTM's WLME
    Geometry, difficulty level 2. Look at Shakespeare's Globe Theater from a mathematical standpoint - figure out the interior angle of an icosagon and calculate how many people could stand in the "field" in front of and around the stage. ...more>>

  2. Good Fences - Lisa Lavelle
    Math Fundamentals, difficulty level 3. Design a fence that will keep the animals happy. ...more>>

  3. Graphing for Area - Judy Ann Brown
    Pre-Algebra, difficulty level 2. Graph six points and find the area of the resulting hexagon. ...more>>

  4. Graphs - Suzanne Alejandre, Annie Fetter
    Pre-Algebra, difficulty level 3. Match the descriptions to the graphs. Explain how to find one of the points on each graph and give the labels for the x- and y-axes. ...more>>

  5. How Many Angles? - Annie Fetter
    Geometry, difficulty level 2. Given a picture of two parallel lines and two transversals, how many different angle measures are represented by the 14 labeled angles? ...more>>

  6. An Inscribed Circle - Annie Fetter
    Geometry, difficulty level 2. Find the radius of a circle inscribed in a right triangle with legs of 5 units and 12 units. ...more>>

  7. A Line of Reflection - Annie Fetter
    Geometry, difficulty level 2. Find the equation of the line of reflection for triangle ABC and its image, A'B'C'. ...more>>

  8. Lost at Sea? - Annie Fetter
    Geometry, difficulty level 2. Help Darius and Skip figure out whether they're in the United States or Canada using the bearings Skip takes. ...more>>

  9. Making a Map - Annie Fetter
    Geometry, difficulty level 3. Given a list of relationships between five different objects, explain which ones you could uniquely place on a map. ...more>>

  10. 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? ...more>>

  11. Measuring Cylinders - Annie Fetter
    Geometry, difficulty level 2. Help Ian measure his stove pipe and his propane tank. ...more>>

  12. 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? ...more>>

  13. 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. ...more>>

  14. 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. ...more>>

  15. 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? ...more>>

  16. 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. ...more>>

  17. My Mom Rocks! - Annie Fetter
    Geometry, difficulty level 3. Help my mom decide if she's buried the stones in her new garden deep enough. ...more>>

  18. Nautical Navigation - Annie Fetter
    Geometry, difficulty level 2. Help the sailors of the Kaleidoscope figure out what time they'll pass the lighthouse and how far from the lighthouse they'll be at that time. ...more>>

  19. Olympic Softball - Annie Fetter
    Geometry, difficulty level 2. Should the pitcher's rubber in Olympic softball be behind the line drawn from third base to first base, or in front of it? ...more>>

  20. Olympic Target Shooting - Annie Fetter
    Geometry, difficulty level 2. Given that a shooter is equally likely to hit any point on a 10-inch target, what are the odds that his shot will be in the 6-inch circle? ...more>>

  21. Painting a Carousel - Annie Fetter & Car Talk
    Geometry, difficulty level 2. Help Liam and Thomas figure out the area of the deck of a carousel using only one measurement. ...more>>

  22. A Parallelogram Dissection - Annie Fetter and Everyday Math Grade 3
    Geometry, difficulty level 3. Cut the given parallelogram along the dotted lines and rearrange the three resulting triangles to form what seems to be a square. What needs to be true of the original figure in order for the resulting figure to actually ...more>>

  23. 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. ...more>>

  24. Peanut's Back Yard - Jonathan Bauer
    Pre-Algebra, difficulty level 3. Peanut, the overexcited dog, makes 40 laps around a stake and travels a total distance of 1 mile. If his bowl of water is 20 feet away from the stake, can he get a drink? ...more>>

  25. Pentagon Puzzle - Annie Fetter
    Geometry, difficulty level 1. Explore the interior angles of pentagons. ...more>>

  26. 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. ...more>>

  27. The Perimeter of an Octagon - Annie Fetter, with thanks to the Texas Education Agency
    Geometry, difficulty level 3. What's wrong with this picture of a regular octagon? Can you fix what's wrong and find the perimeter? ...more>>

  28. Picking an Area Formula - Annie Fetter
    Geometry, difficulty level 2. Find the area of a polygon on a grid and figure out which of four formulas, incorporating points on the interior and points on the boundary, calculates its area correctly. ...more>>

  29. Picking a Point - Steve Risberg
    Geometry, difficulty level 2. A point is randomly selected from within the rectangle having vertices at (0,0), (2,0), (2,3) and (0,3). What's the probability that the x-coordinate of the point will be less than the y-coordinate? ...more>>

  30. Pizza Pie - Judy Ann Brown
    Pre-Algebra, difficulty level 3. Use the given information to decide how many slices of the small pizza would be equal to or greater than 3 slices from the large pizza. ...more>>

  31. Playing with a Pentadecagon - Annie Fetter
    Geometry, difficulty level 2. Extend the sides AB and ED of the regular pentadecagon ABCDEFGHIJKLMNO until they intersect. What is the measure of the angle at this intersection? ...more>>

  32. Point P Perambulates - Annie Fetter
    Geometry, difficulty level 3. Find the length of the path of a vertex of an equilateral triangle as that triangle rotates around the inside of a square. ...more>>

  33. Points, Lines, and Planes - Annie Fetter
    Geometry, difficulty level 3. Determine the number of lines defined by 5 or 6 points, and the number of planes defined by 4 or 5 points. Expand this for N points. ...more>>

  34. Precision Paper Folding - Annie Fetter
    Geometry, difficulty level 3. After folding down two corners of a rectangular piece of paper, explain what the resulting angle measure will always be. ...more>>

  35. 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? ...more>>

  36. Proving PD - Annie Fetter
    Geometry, difficulty level 3. AOD is a diameter of the circle with center O. B is any point on the circle that isn't A or D. A tangent is drawn to the circle at point B. A line is drawn through O parallel to AB, meeting the tangent at P. Prove that ...more>>

  37. Pythagorean Circles - Lillian Ray
    Geometry, difficulty level 3. Figure out the relationship between the area of three regions in this construction of "Pythagorean circles". ...more>>

  38. 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? ...more>>

  39. 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. ...more>>

  40. A Rectangle Dissection - Annie Fetter
    Geometry, difficulty level 3. Cut the given rectangle into three pieces as indicated by the dashed lines. Rearrange the pieces to form a square, and explain why the resulting shape actually is a square. ...more>>

  41. Replacing the Football Field - Annie Fetter
    Geometry, difficulty level 2. Will a regulation-size NCAA soccer field fit inside an equal-quadrant 400-meter track? ...more>>

  42. Reza's Circle - Reza Kassai
    Geometry, difficulty level 2. OC is the radius of a circle and has a length of sqrt2 units. DE is the perpendicular bisector of OC. BA is tangent to the circle at A. DC = CB. Find the length of AB. ...more>>

  43. Riz's Route - Richard Tchen & Steve Risberg
    Pre-Algebra, difficulty level 3. Where is Riz standing when he realizes it would be the same distance to continue walking on the longer path as it would be to turn around and take the shortcut? ...more>>

  44. The Rolling Triangle - Annie Fetter
    Geometry, difficulty level 3. Equilateral triangle ABC sits on top of unit square DEFG so that AC is coincident with DE. The triangle is rotated around the outside of the square until it returns to the top edge. How far did point A travel? ...more>>

  45. Save the Lake! - Annie & Tom Fetter
    Geometry, difficulty level 2. How far does the water level drop if you take 900,000 gallons of water out of a lake with a surface area of 334 acres? ...more>>

  46. Seeing Stars - Annie Fetter
    Geometry, difficulty level 2. Find the measure of the angle at the "star points" of a "regular star" when the star has five sides. How about when the star has eight sides? ...more>>

  47. Shine On Harvest Moon - Judy Ann Brown
    Pre-Algebra, difficulty level 2. Find the area of the largest circle that can be cut from a nine-inch by twelve-inch sheet of paper. ...more>>

  48. Shortcut Savings - Suzanne Alejandre
    Pre-Algebra, difficulty level 2. Find a rule to tell how much distance I will save when I take the shortcut. ...more>>

  49. Shotgun Targets - Annie Fetter
    Geometry, difficulty level 2. Figure out how large to make the inner circle of this shotgun target. ...more>>

  50. The Speed Skating Oval - Annie Fetter
    Geometry, difficulty level 2. Find the radii of the turns of a 400 meter speed skating oval. ...more>>


 
Page: [<prev]  1  2  3 [next>]


[Privacy Policy] [Terms of Use]

_____________________________________
Home || The Math Library || Quick Reference || Search || Help
_____________________________________

© 1994-2012 Drexel University. All rights reserved.
http://mathforum.org/
The Math Forum is a research and educational enterprise of the Drexel University School of Education.The Math Forum is a research and educational enterprise of the Drexel University School of Education.