Chapter 11 · Class 8 CBSE · Worksheet

Geometric Explorations Worksheet — Class 8 CBSE Maths

Download a free printable worksheet with 30 questions at 3 difficulty levels. Includes full answer key.

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30 questions (Easy + Medium + Hard) with answer key. Fresh set generated daily.

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Sample Questions — Geometric Explorations

Here are 8 sample questions from this worksheet. Download the full PDF for all 30 questions.

Q1.Which of the following statements about the sum of interior angles of a polygon is true?

A.The sum of interior angles of a polygon with 'n' sides is always (n-1) × 180°.

B.The sum of interior angles of a polygon with 'n' sides is always (n-2) × 180°.

C.The sum of interior angles of a polygon with 'n' sides is always n × 180°.

D.The sum of interior angles of a polygon with 'n' sides is always (n+2) × 180°.

Difficulty: Easy

Q2.Rohan states, 'The sum of the exterior angles of any polygon, one at each vertex, is always 360°, regardless of the number of sides.' Is Rohan's statement correct?

A.No, the sum of exterior angles depends on the number of sides.

B.Yes, this is a fundamental property of all convex polygons.

C.No, the sum is only 360° for triangles and quadrilaterals.

D.Yes, but only for regular polygons.

Difficulty: Easy

Q3.A quadrilateral has angles measuring 70°, 95°, and 110°. What is the measure of the fourth angle?

A.75°

B.85°

C.95°

D.105°

Difficulty: Easy

Q4.In a parallelogram ABCD, if ∠A = 65°, what is the measure of ∠C?

A.65°

B.115°

C.90°

D.180°

Difficulty: Easy

Q5.A polygon is described as 'a simple closed curve made up of only line segments'. Which of the following shapes fits this description?

A.Circle

B.Triangle

C.Oval

D.Semicircle

Difficulty: Easy

Q6.Reena is trying to identify a quadrilateral. She knows that its diagonals bisect each other and are perpendicular. Which type of quadrilateral is she most likely describing?

A.Rectangle

B.Trapezium

C.Rhombus

D.Square

Difficulty: Easy

Q7.Which of the following statements about a square is INCORRECT?

A.All angles are 90°.

B.All sides are equal in length.

C.Its diagonals are perpendicular bisectors of each other.

D.Its diagonals are not necessarily equal in length.

Difficulty: Easy

Q8.Consider a regular hexagon. What is the measure of each interior angle?

A.60°

B.90°

C.108°

D.120°

Difficulty: Easy

Answer Key — Sample Questions+

Q1:The sum of interior angles of a polygon with 'n' sides is always (n-2) × 180°.

Q2:Yes, this is a fundamental property of all convex polygons.

Q3:85°

Q4:65°

Q5:Triangle

Q6:Rhombus

Q7:Its diagonals are not necessarily equal in length.

Q8:120°

Download the full PDF for all 30 answers with step-by-step solutions.

About This Worksheet

Topic	Geometric Explorations
Board	CBSE
Class	8
Total Questions	30 (10 Easy + 10 Medium + 10 Hard)
Answer Key	Included
Price	Free

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Frequently Asked Questions

Where can I download a free Geometric Explorations worksheet for Class 8?+

You can download a free Geometric Explorations PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 questions at easy, medium, and hard levels with a complete answer key.

How many questions are in the Geometric Explorations worksheet?+

Each SparkEd worksheet for Geometric Explorations contains 30 questions — 10 easy, 10 medium, and 10 hard. A fresh set is generated daily so you never repeat the same sheet.

Does the Geometric Explorations worksheet include answers?+

Yes. Every SparkEd worksheet comes with a separate answer key so students can self-check their work after completing the sheet.

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