Hard Geometry Problem Set – Test Your Spatial Skills
A concise set of eight demanding geometry questions designed to push your analytical abilities and visual thinking.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
What are the coordinates of the point that divides the segment joining (2,-3) and (8,9) internally in the ratio 3:2?
- 2
Which regular polyhedron has the greatest dihedral angle between any two adjacent faces?
- 3
Two similar triangles have areas in the ratio 9:25. What is the ratio of their corresponding side lengths?
- 4
What is the sum of interior angles of a regular heptagon measured in degrees?
- 5
A circle and a square share the same perimeter. Which shape encloses a larger area?
- 6
In triangle ABC, side AB = 7, AC = 9, and angle BAC = 60°. What is the length of BC rounded to two decimal places?
- 7
A right circular cone and a cylinder have equal base radii and equal heights. What fraction of the cylinder's volume does the cone occupy?
- 8
If two chords of a circle are equal in length, what can be said about their distances from the center?
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