Mathematics & Logic

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.

#hard quiz#logic puzzles#advanced math#geometry#spatial reasoning#polygons#proofs#circles#triangles

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Total Questions

Difficulty Level

hard

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0/0

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?
Question 1
2
Which regular polyhedron has the greatest dihedral angle between any two adjacent faces?
Question 2
3
Two similar triangles have areas in the ratio 9:25. What is the ratio of their corresponding side lengths?
Question 3
4
What is the sum of interior angles of a regular heptagon measured in degrees?
Question 4
5
A circle and a square share the same perimeter. Which shape encloses a larger area?
Question 5
6
In triangle ABC, side AB = 7, AC = 9, and angle BAC = 60°. What is the length of BC rounded to two decimal places?
Question 6
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?
Question 7
8
If two chords of a circle are equal in length, what can be said about their distances from the center?
Question 8

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Hard Geometry Problem Set – Test Your Spatial Skills

Quiz Intelligence

Quiz Questions

What are the coordinates of the point that divides the segment joining (2,-3) and (8,9) internally in the ratio 3:2?

Which regular polyhedron has the greatest dihedral angle between any two adjacent faces?

Two similar triangles have areas in the ratio 9:25. What is the ratio of their corresponding side lengths?

What is the sum of interior angles of a regular heptagon measured in degrees?

A circle and a square share the same perimeter. Which shape encloses a larger area?

In triangle ABC, side AB = 7, AC = 9, and angle BAC = 60°. What is the length of BC rounded to two decimal places?

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?

If two chords of a circle are equal in length, what can be said about their distances from the center?

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