 3D Vision  Annie Fetter
PreAlgebra, difficulty level 3. 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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 Added Areas  Annie Fetter
Geometry, difficulty level 1. A circle and an isosceles triangle are inscribed in a square. If the areas of the three figures added together is 28 square units, what's the edgelength of the square?
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 All Around the World  Terry Trotter & Annie Fetter
Geometry, difficulty level 2. If a wire wrapped around the equator of the Earth is lengthened by 100 meters, how far above the surface of the Earth would the wire now be if lifted off the surface an equal distance all the way around?
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 All the Similar Triangles  Annie Fetter
PreAlgebra, difficulty level 3. How would you place points D and E to make similar triangles?
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 Analyzing Angles  Annie Fetter
Geometry, difficulty level 2. Given some information about angles in a picture, figure out some of
the angle measures.
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 Ants Marching  Annie Fetter
Geometry, difficulty level 2. Traveling along the edges of a cross section of the cube, find the
length of the shortest possible path from one corner of a cube to the
opposite corner, as well as the longest possible path between the same
corners.
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 The Apprehendable Angle  Annie Fetter
Geometry, difficulty level 2. Triangle ABC is isosceles with a vertex angle (at the top) of 50 degrees. If D is on AC, E is on BC, and AD = BE, what is the measure of angle ADE?
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 Approximating Pi  Annie Fetter
Geometry, difficulty level 3. Approximate the value of pi using polygons instead of a circle.
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 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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 Arda and Brooke's Catapult  Annie Fetter
Geometry, difficulty level 2. Does Arda's method for measuring the distance across the river really
work?
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 Arranging Six Squares  Annie Fetter
Geometry, difficulty level 3. How many ways can you arrange six squares in the plane so that they all share an edge with at least one other square? How many of these configurations could be folded up to form a cube?
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 Assessing Seismic Risk  Craig Foster and Annie Fetter
Geometry, difficulty level 3. Figure out how likely it would be for an earthquake to occur within
certain distances of a building.
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 Back Yard Trees  Judy Ann Brown
PreAlgebra, difficulty level 4. How many different quadrilaterals can be formed by joining any four of the nine trees?
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 Beyond Exterior Angles  Annie Fetter
Geometry, difficulty level 2. Extend two sides of the given polygon and determine the angle at which
the new lines meet.
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 Bouncing Billiards  Annie Fetter
Geometry, difficulty level 1. Help Maria decide the angle that will sink her cue shot after four
bounces.
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 Building a Rain Gauge  Annie Fetter
Geometry, difficulty level 3. Given the depth of the water in a bottle, figure out how much rain really fell, considering that the opening of the bottle is much smaller than the main part.
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 Building a Snow Statue  Judy Ann Brown
PreAlgebra, difficulty level 3. Determine the height of a snow statue using the given information.
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 Building a Vaulted Ceiling  Annie Fetter
Geometry, difficulty level 4. An eyebrow window is a 15inchdeep slice off an 8.5foot circle. How wide will the base of the window be?
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 Building on Water  Judy Ann Brown
PreAlgebra, difficulty level 4. Find the area of a circular pond not covered by a rectangular building.
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 Bunches of Basil  Lisa Lavelle
Math Fundamentals, difficulty level 3. Determine the maximum number of basil plants I will have after I finish thinning the garden.
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 Buying Paint and Shingles  Annie Fetter
Geometry, difficulty level 2. Figure out how many gallons of paint and how many bundles of shingles I need to buy to finish my new shed.
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 A Carpenter's Trisection  Annie Fetter
Geometry, difficulty level 3. Explain whether or not the given method of trisecting an angle, using only a carpenter's square, really works.
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 Chamique the Archer  Mr. Marthinsen's Geometry Class
PreAlgebra, difficulty level 3. Chamique wants to know the probability of hitting a bull'seye with a randomly shot arrow.
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 Circle Intersections  Annie Fetter
Geometry, difficulty level 2. What is the maximum number of times that six circles of the same size could intersect?
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 Comparing the Areas of Two Squares  Annie Fetter
Geometry, difficulty level 3. Given two squares, one with the diameter of a circle as an edge, the
other inscribed in the circle. How do the areas of the squares
compare?
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 Congruent Rectangles Help  Annie Fetter
Geometry, difficulty level 2. Find some possible areas for the large rectangle shown in the
given picture.
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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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 Counting Squares  Annie Fetter
Geometry, difficulty level 2. Count the total number of squares in the given diagram.
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 Cutting Corners  Annie Fetter
Geometry, difficulty level 1. Some election signs must have corners cut off them to comply with
local election rules.
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 Diagonal Dilemma  Karen Cohen
Geometry, difficulty level 1. What is the area of the square ABCD that has a diagonal of length 12 cm?
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 The Diagonal Triangle  Annie Fetter
Geometry, difficulty level 1. A triangle is formed by connecting opposite vertices of a figure formed by two squares. Find the area of the triangle.
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 Different Views  Annie Fetter
Geometry, difficulty level 3. Given a front, top, and side view of an object, find the volume of that object.
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 Dot.com Derby  Terry Trotter
Algebra, difficulty level 2. Three "dots" run a race around a circular track in an unusual manner. You must determine the winners in two categories.
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 Drawing Out a Decagon  Annie Fetter
Geometry, difficulty level 2. Extend sides AB and IH of the regular decagon ABCDEFGHIJ until they intersect. What is the measure of the acute angle at this intersection?
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 Equilateral Triangle and Square Ratio  Dale Pearson
Geometry, difficulty level 3. A square with side length s is inscribed in an equilateral triangle of
side length t. Find the ratio t/s.
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 Equilateral Triangle Areas  Annie Fetter & Steve Weimar (extra)
Geometry, difficulty level 3. If two equilateral triangles have edgelengths of 9 cubits and 12
cubits, what's the edgelength of the equilateral triangle whose area
is equal to the sum of the areas of the other two?
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 Field of View  Annie Fetter
Geometry, difficulty level 2. Figure out the field of view for two different pairs of binoculars.
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 Filling the Hot Tub  Annie Fetter and Steve Risberg
Geometry, difficulty level 3. Given the dimensions of a hot tub and its submerged woodburning
stove, figure out how long it will take to fill the tub using a
garden hose.
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 Finding a Supplement  Terry Trotter & Annie Fetter
Geometry, difficulty level 1. Two lines, AB and CD, intersect at point E. Angles AED and CEB have measures that can be expressed as 2x^2 + 3x + 15 and 3x^2 + x  20. Find all of the possible measures of angle BED.
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 Finding CE  Annie Fetter
Geometry, difficulty level 4. Side AB of triangle ABC has a length of 8 inches. Line DEF is drawn
parallel to AB so that D is on segment AC and E is on segment BC. Line
AE extended bisects angle FEC. If DE has a length of 5 inches, what's
the length
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 Finding the Base of a Trapezoid  Annie Fetter
Geometry, difficulty level 3. Given trapezoid ABCD, with AD one base and BC the other and a 60 degree angle at CDA. If CD is 26sqrt3/3 meters, BC is 7 meters, and the area of the trapezoid is 130 square meters, what's the length of AD?
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 Finding the Side of a Parallelogram  Annie Fetter
Geometry, difficulty level 3. In parallelogram ABCD, the bisector of angle ABC intersects AD at point P. PD is 5, BP is 6, and CP is 6. What's AB?
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 Finding the Volume of a Box  Annie Fetter
Geometry, difficulty level 2. If the areas of the top and front of a box are 252 and 105 square inches, respectively, and the surface area of the box is 834 square inches, what's the volume of the box?
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 Folding a Rectangle  Annie Fetter
Geometry, difficulty level 3. Fold a 6inch by 8inch piece of paper so that the opposite corners
meet. How long is the fold?
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 Fording the River  Lisa and Judy Gardner
Algebra, difficulty level 2. A terrible accident occurred just when the hands of a watch were in a special position. What time was it?
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 Four Point Puzzle  Annie Fetter
Geometry, difficulty level 3. The vertices of quadrilateral ABCD are at the points A:(1,2),
B:(2,2), C:(5,4), and D(6,0). What's the most specific name you
can give to this quadrilateral?
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 Framed!  Annie Fetter
Geometry, difficulty level 3. Given a triangular painting with dimensions 20 x 14 x 10, and three different ways you could frame it, which frame will take the least amount of material?
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 A Gardening Puzzle  Annie Fetter
Geometry, difficulty level 2. If a rectangular garden were 2 feet wider and 3 feet longer, it would be 64 square feet larger. If it were 3 feet wider and 2 feet longer, it would be 68 square feet larger. What are the dimensions of the garden?
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 Geometric Algebra?  Annie Fetter
Geometry, difficulty level 2. Given a geometric picture that illustrates the fact that a(a+b)=a^2+ab, explain what the second picture illustrates.
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 Geometry XGames  Annie Fetter
Geometry, difficulty level 2. Given triangle ABC, with D on AB and E on BC. AC is 39 units, AD is x units, DB is 9 units, DE is 13 units, and BE is x units. If triangles ABC and EBD are similar, what's x, and what's the length of CE?
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