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Geometry

Giant Clock, Bug Speed

October 30, 2016 at 6:48am by huggins.5@osu.edu

The largest four-faced clock in the USA is the Allen Bradley Clock Tower in Milwaukee, Wisconsin. The diameter of its face is 40 feet 3.5 inches, and its minute hand is 20 feet in length. If you are a bug sitting on the very tip of the outer end of the minute hand, how fast are you traveling?

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Posted in Geometry, Geometry, Set 03 Tagged Rich Math Problems Leave a comment

Find Edge of Cube Given Diagonal

October 30, 2016 at 6:48am by huggins.5@osu.edu

The diagonal of a cube is 20 cm. How long is its edge?

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Posted in Geometry, Geometry, Set 14 Tagged Rich Math Problems Leave a comment

Interior Segments of Square

October 30, 2016 at 6:48am by huggins.5@osu.edu

A square has sides each having a length of 2. Segments are drawn from one vertex to the midpoints of each of the four sides of the square. What is the sum of the lengths of these segments?

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Posted in Geometry, Geometry, Set 11 Tagged Rich Math Problems Leave a comment

Circular Lawn with Path

October 30, 2016 at 6:48am by huggins.5@osu.edu

A circular grass plot 12 feet in diameter is cut by a straight gravel path 3 feet wide, one edge of which passes through the center of the plot. The number of square feet in the remaining grassy area is:

  1. 36pi – 34
  2. 30pi – 15
  3. 36pi – 33
  4. 35pi – 9√3
  5. 30pi – 9√3

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Posted in Geometry, Geometry, Set 10 Tagged Rich Math Problems Leave a comment

Seven Circles in Large One

October 30, 2016 at 6:48am by huggins.5@osu.edu

The total area enclosed by the small circles is what fraction of the area enclosed by the larger circle?



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Posted in Geometry, Geometry, Set 09 Tagged Rich Math Problems Leave a comment

Irregular Hexagon

October 30, 2016 at 6:48am by huggins.5@osu.edu

Express the area of this figure in simplest radical form. There are two right angles, and four other angles that are marked as being congruent.


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Posted in Geometry, Geometry, Set 15 Tagged Rich Math Problems Leave a comment

Billy the Goat

October 30, 2016 at 6:48am by huggins.5@osu.edu

Billy the goat is tied to the corner of Patty�s barn. The barn is 20 x 40 feet, and the rope is 50 feet long. No trees or other obstructions are in the way. What is the available area of grass that Billy can eat? (Draw a good picture of this area first.)

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Posted in Geometry, Geometry, Set 08 Tagged Rich Math Problems Leave a comment

Marvin and Deedee

October 30, 2016 at 6:48am by huggins.5@osu.edu

A: Marvin tied his dog, Deedee, with a rope 10 meters long at an outside corner of his regular hexagonal walled garden having sides of 8 meters. What is the area of ground that Deedee can cover, as determined by the limits of the rope and the walls?

B: Now do the same problem with Deedee tied inside the garden.

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Posted in Geometry, Geometry, Set 16 Tagged Rich Math Problems Leave a comment

Midline Triangle Area

October 30, 2016 at 6:48am by huggins.5@osu.edu

In a △ABC, D is the midpoint of AB; E is the midpoint of DB; and F is the midpoint of BC. If the area of △ABC is 96, then the area of △AEF is:

  1. 16
  2. 24
  3. 32
  4. 36
  5. 48

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Posted in Geometry, Geometry, Set 16 Tagged Rich Math Problems Leave a comment

Split Parallelogram Area

October 30, 2016 at 6:48am by huggins.5@osu.edu

PQRS is a parallelogram. Let m be a line that passes through the parallelogram in such a way that it splits the area into two equal parts. How many such lines can there be? If you were to draw all of these lines, you would notice something about them: What is it?

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Posted in Geometry, Geometry, Set 11 Tagged Rich Math Problems Leave a comment

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