Exploring Some Geometric Themes — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 11
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 11, "Exploring Some Geometric Themes". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Exploring Some Geometric Themes", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Exploring Some Geometric Themes, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Exploring Some Geometric Themes — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation.
- Q1Easy
A fractal is a shape that:
A.has no pattern at allB.repeats a similar pattern at smaller and smaller scales✓ CorrectC.is always a circleD.has only straight edgesAnswer: B. repeats a similar pattern at smaller and smaller scales
Explanation: A fractal is built by repeating the same pattern at ever-smaller scales, not something with no pattern, always a circle, or only straight edges.
- Q2Easy
The net of a solid is:
A.the shadow of the solidB.a flat shape that folds up into the solid✓ CorrectC.a solid made of netsD.half the solidAnswer: B. a flat shape that folds up into the solid
Explanation: A net is the flat, 2-D pattern that folds up along its edges to form the 3-D solid — not a shadow, a solid made of nets, or just half the solid.
- Q3Easy
How many faces does a cube have?
A.4B.6✓ CorrectC.8D.12Answer: B. 6
Explanation: A cube has 6 square faces — top, bottom, and the four sides. Do not confuse this with its 12 edges or 8 vertices.
- Q4Easy
A tin of a fizzy drink is shaped like a:
A.cubeB.pyramidC.cylinder✓ CorrectD.coneAnswer: C. cylinder
Explanation: A drink can has two flat circular ends joined by a curved side — that combination is a cylinder, not a cube, pyramid, or cone.
- Q5Easy
A key property of a fractal is that it is:
A.self-similar✓ CorrectB.perfectly roundC.one-dimensionalD.symmetric about a single pointAnswer: A. self-similar
Explanation: Self-similar means a small piece of the shape looks like a scaled-down copy of the whole shape — not perfectly round, one-dimensional, or symmetric about a single point.
- Q6Easy
The net of a cube is made of how many squares?
A.4B.8C.6✓ CorrectD.5Answer: C. 6
Explanation: Since a cube has 6 faces, its net must be made of exactly 6 squares, not 4, 8, or 5.
- Q7Medium
In a fractal where each segment is replaced by smaller copies at every step, the shape becomes:
A.more detailed while staying self-similar✓ CorrectB.a plain straight lineC.a smooth circleD.unchangedAnswer: A. more detailed while staying self-similar
Explanation: Repeatedly replacing each segment with smaller copies adds finer detail at every step while every part still resembles the whole — the shape does not flatten into a line or a circle.
- Q8Medium
The net of a cylinder consists of:
A.two squares and a circleB.two circles and a rectangle✓ CorrectC.one circle and a triangleD.three rectanglesAnswer: B. two circles and a rectangle
Explanation: Unrolling a cylinder gives the two flat circular ends plus one rectangle for the curved surface, not squares or triangles.
- Q9Medium
A triangular prism has how many faces?
A.6B.5✓ CorrectC.4D.9Answer: B. 5
Explanation: A triangular prism has 2 triangular ends and 3 rectangular side faces: 2 + 3 = 5 faces in total, not 6 or 4.
- Q10Medium
An upright cylinder has a front view shaped like a:
A.circleB.triangleC.squareD.rectangle✓ CorrectAnswer: D. rectangle
Explanation: Seen from the side, an upright cylinder's straight sides and flat top and bottom outline a rectangle, not a circle, triangle, or square.
- Q11Medium
If every side of a shape is made 3 times longer, its area becomes:
A.3 timesB.6 timesC.27 timesD.9 times✓ CorrectAnswer: D. 9 times
Explanation: Area scales by the square of the length factor: making every side 3 times longer multiplies area by 3² = 9, not simply 3 times, 6 times, or 27 times (that's the volume scale factor).
- Q12Hard
A shape is scaled up so every length is doubled. Its area increases by a factor of:
A.2B.8C.6D.4✓ CorrectAnswer: D. 4
Explanation: Area scales by the square of the length factor: doubling every length multiplies area by 2² = 4, not 2, 6, or 8.
- Q13Hard
A cuboid measures 3 × 4 × 5 units. The number of unit cubes it contains is:
A.12B.60✓ CorrectC.47D.20Answer: B. 60
Explanation: The number of unit cubes filling a cuboid equals its volume: 3 × 4 × 5 = 60, not the sum 3 + 4 + 5 = 12 or any other combination.
- Q14Hard
For a cube, faces + vertices − edges equals:
A.2✓ CorrectB.0C.1D.3Answer: A. 2
Explanation: For a cube, 6 faces + 8 vertices − 12 edges = 2, matching Euler's formula faces + vertices − edges = 2 for any simple polyhedron.
Key concepts: Exploring Some Geometric Themes (Class 8 Mathematics)
This chapter explores two geometric themes. Fractals are self-similar shapes — like the fern, the Koch snowflake and the Sierpiński triangle — that repeat a pattern at smaller and smaller scales, which also shows how areas and volumes grow when a shape is scaled. Visualising solids covers nets that fold into cubes, cuboids, prisms and pyramids, counting their faces, edges and vertices (with Euler's relation F + V − E = 2 as a check), and the front, top and side views of a solid.
- Fractal
- A shape that repeats the same or a similar pattern over and over at smaller and smaller scales, such as a fern, the Koch snowflake or the Sierpiński triangle.
- Self-similarity
- The defining feature of a fractal: any small part of it looks like the whole shape, so zooming in reveals smaller copies of the same pattern.
- Scaling and dimension
- When a shape is scaled so each length is multiplied by k, its area is multiplied by k² and its volume by k³ — a tripled side gives 9× the area and 27× the volume.
- Solid
- A three-dimensional shape such as a cube, cuboid, prism, pyramid, cylinder, cone or sphere, bounded by faces, edges and vertices.
- Net of a solid
- A flat pattern that folds up to form the solid, with no overlaps or gaps — a cube's net is six squares, a cylinder's is two circles and a rectangle.
- Faces, edges and vertices
- A face is a flat surface, an edge is where two faces meet, and a vertex is a corner. A cube has 6 faces, 12 edges and 8 vertices.
- Euler's relation
- For a simple polyhedron, faces + vertices − edges = 2 (F + V − E = 2), which lets you find a missing count from the other two.
- Prisms and pyramids
- A prism has two identical end-faces joined by rectangles; a pyramid has one base and triangular faces meeting at an apex. An n-gonal prism has n + 2 faces, 2n vertices and 3n edges.
- Views of a solid
- The outlines seen from the front, top and side. A cylinder is a rectangle from the front but a circle from the top, while a cube is a square from all three.
- Profiles from a viewpoint
- The same solid can have very different outlines from different directions — a cone is a triangle head-on and a circle from above.
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Start this chapter free →Exploring Some Geometric Themes — FAQs
What are the key concepts in Class 8 Mathematics Exploring Some Geometric Themes?+
This chapter explores two geometric themes. Fractals are self-similar shapes — like the fern, the Koch snowflake and the Sierpiński triangle — that repeat a pattern at smaller and smaller scales, which also shows how areas and volumes grow when a shape is scaled. Visualising solids covers nets that fold into cubes, cuboids, prisms and pyramids, counting their faces, edges and vertices (with Euler's relation F + V − E = 2 as a check), and the front, top and side views of a solid. Key ideas include Fractal, Self-similarity, Scaling and dimension, Solid, Net of a solid, Faces, edges and vertices.
What does Class 8 Mathematics Chapter 11 (Exploring Some Geometric Themes) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Exploring Some Geometric Themes": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Exploring Some Geometric Themes" questions free to practise?+
Yes. Sign in with Google to practise "Exploring Some Geometric Themes" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Exploring Some Geometric Themes" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Exploring Some Geometric Themes" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Exploring Some Geometric Themes" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Exploring Some Geometric Themes (Class 8 Mathematics)?+
The questions that matter most test Fractal, Self-similarity, Scaling and dimension, Solid, Net of a solid, Faces, edges and vertices. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Exploring Some Geometric Themes?+
Yes — Class 8 Mathematics Exploring Some Geometric Themes has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.