Chapter 11 · Class 8 CBSE · Free Worksheet PDF

Geometric Explorations Sums for Class 8 — Free CBSE Worksheet PDF with Answers

Download a free printable geometric explorations worksheet for Class 8 CBSE with 30 practice questions covering geometric explorations concepts, practice problems, and word problems with step-by-step solutions. Includes complete answer key. CBSE-aligned for the 2025-26 syllabus.

Last updated: 5 May 2026

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

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Sample Geometric Explorations Sums for Class 8 — Practice Questions

Here are 8 sample geometric explorations sums from this Class 8 CBSE worksheet. Download the full PDF for all 30 questions with answers.

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

TopicGeometric Explorations
BoardCBSE
Class8
Total Questions30 (10 Easy + 10 Medium + 10 Hard)
Answer KeyIncluded
PriceFree

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Frequently Asked Questions

Where can I download free geometric explorations sums for Class 8?+
You can download a free Geometric Explorations PDF worksheet for Class 8 CBSE right here on SparkEd. The worksheet includes 30 practice questions (geometric explorations concepts, practice problems, and word problems with step-by-step solutions) at easy, medium, and hard levels with a complete answer key.
How many geometric explorations questions are in this Class 8 worksheet?+
This SparkEd worksheet for Geometric Explorations Class 8 contains 30 questions — 10 easy, 10 medium, and 10 hard. The questions cover geometric explorations concepts, practice problems, and word problems with step-by-step solutions. A fresh set is generated daily so students never repeat the same sheet.
Does the Geometric Explorations worksheet for Class 8 include answers?+
Yes! Every SparkEd worksheet comes with a complete answer key. Students can self-check their work after completing the sheet. The PDF is free to download and print.
Is this geometric explorations worksheet aligned to CBSE syllabus?+
Yes. This worksheet is specifically designed for Class 8 CBSE students and aligned to the 2025-26 CBSE syllabus. All questions follow the CBSE exam pattern and difficulty level.
Can I print this Geometric Explorations worksheet?+
Absolutely! The worksheet downloads as an A4-size PDF that is ready to print. It includes the questions, space for working, and a separate answer key — perfect for classroom use or home practice.
How is this worksheet different from NCERT textbook exercises?+
SparkEd worksheets go beyond NCERT exercises by providing 30 questions at 3 progressive difficulty levels. Level 1 (Easy) builds confidence, Level 2 (Medium) tests application, and Level 3 (Hard) prepares for exams. Each worksheet includes word problems and conceptual questions, not just computation.
Does this worksheet include geometric explorations word problems?+
Yes! The worksheet includes both computation-based questions and real-world word problems. Word problems are especially important for CBSE exams, and our worksheet covers a variety of scenarios to build problem-solving skills.

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