Master the Art of Geometric Logic with Ten Tough Problems
A collection of challenging geometry questions designed to test deep understanding of shapes, angles, and three‑dimensional reasoning.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
What is the sum of the interior angles of a regular dodecagon measured in degrees?
- 2
Calculate the volume of a sphere whose radius is 5 units. Use π≈3.14 and give the answer to two decimal places.
- 3
A triangle has side lengths 7, 24, and 25. What is its area?
- 4
Two intersecting lines have slopes 2 and -3. Find the acute angle between them in degrees.
- 5
Find the total surface area of a regular tetrahedron with edge length 2.
- 6
What is the sum of interior angles of a convex nonagon?
- 7
Determine the distance between points A(2,3) and B(5,7).
- 8
A circle of radius 10 has a central angle of 60 degrees. What is the sector's area?
- 9
How many diagonals can be drawn in a convex octagon?
- 10
For a cube with side length 12, what is the ratio of its volume to its surface area?
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