Understanding Quadrilaterals — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 103
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 103, "Understanding Quadrilaterals". 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 set top scorers in CBSE Board exams apart.
To score well in "Understanding Quadrilaterals", 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 trains you to stay accurate under time pressure, 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 Understanding Quadrilaterals, 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.
Key concepts: Understanding Quadrilaterals (Class 8 Mathematics)
This chapter covers polygons, the angle-sum properties of polygons, and the properties of special quadrilaterals like parallelograms, rhombuses and trapeziums.
- Polygons
- Closed figures made of line segments; classified as convex/concave and regular/irregular.
- Angle sum of a polygon
- The interior angles of an n-sided polygon add to (n − 2) × 180°.
- Exterior angles
- The sum of the exterior angles of any polygon is always 360°.
- Parallelogram properties
- Opposite sides and angles are equal; adjacent angles are supplementary; diagonals bisect each other.
Understanding Quadrilaterals — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 58 are timed and scored when you sign in.
- Q1Easy
Sum of interior angles of a triangle:
A.360°B.180°✓ CorrectC.90°D.270°Answer: B. 180°
Explanation: Standard.
- Q2Easy
Each angle of a square measures:
A.45°B.60°C.120°D.90°✓ CorrectAnswer: D. 90°
Explanation: A square has four equal right angles.
- Q3Easy
Sum of interior angles of a quadrilateral:
A.540°B.180°C.360°✓ CorrectD.90°Answer: C. 360°
Explanation: (4−2)·180° = 360°.
- Q4Easy
The diagonals of a rectangle are:
A.Equal✓ CorrectB.PerpendicularC.UnequalD.ParallelAnswer: A. Equal
Explanation: A rectangle has diagonals of equal length that bisect each other.
- Q5Easy
What is the sum of the interior angles of a pentagon?
A.540°✓ CorrectB.360°C.720°D.450°Answer: A. 540°
Explanation: Using (n−2)·180° with n = 5 gives 3·180° = 540°.
- Q6Easy
In a parallelogram, opposite sides are:
A.Equal but not parallelB.Parallel and equal✓ CorrectC.PerpendicularD.UnequalAnswer: B. Parallel and equal
Explanation: Opposite sides of a parallelogram are both parallel and equal in length.
- Q7Medium
Sum of interior angles of n-gon:
A.360°B.(n−2)·180°✓ CorrectC.n·180°D.(n+2)·180°Answer: B. (n−2)·180°
Explanation: Standard formula.
- Q8Medium
In a parallelogram, opposite angles are:
A.All equalB.SupplementaryC.Right anglesD.Equal✓ CorrectAnswer: D. Equal
Explanation: Property of parallelogram.
- Q9Medium
If the sum of interior angles of a polygon is 1080°, how many sides does it have?
A.8✓ CorrectB.6C.7D.9Answer: A. 8
Explanation: Solving (n−2)·180° = 1080° gives n − 2 = 6, so n = 8.
- Q10Medium
Two adjacent angles of a parallelogram are in the ratio 2 : 3. The smaller angle is:
A.45°B.108°C.60°D.72°✓ CorrectAnswer: D. 72°
Explanation: Adjacent angles are supplementary; 2x + 3x = 180° gives x = 36°, so the smaller is 72°.
- Q11Medium
Each interior angle of a regular octagon measures:
A.120°B.144°C.135°✓ CorrectD.108°Answer: C. 135°
Explanation: Interior angle = 180° − (360° ÷ 8) = 180° − 45° = 135°.
- Q12Hard
Sum of exterior angles of any polygon:
A.360°✓ CorrectB.180°C.(n−2)·180°D.n·90°Answer: A. 360°
Explanation: Always 360° regardless of sides.
- Q13Hard
Diagonals of a rhombus:
A.Are parallelB.Are equalC.Are unequalD.Bisect each other at right angles✓ CorrectAnswer: D. Bisect each other at right angles
Explanation: Perpendicular bisectors.
- Q14Hard
Assertion: The sum of exterior angles of a regular octagon is 360°. Reason: The sum of exterior angles of any polygon, taken in order, is always 360°. Choose the correct option.
A.Both are true but Reason does not explain the AssertionB.Both Assertion and Reason are true and Reason correctly explains the Assertion✓ CorrectC.Assertion is true but Reason is falseD.Assertion is false but Reason is trueAnswer: B. Both Assertion and Reason are true and Reason correctly explains the Assertion
Explanation: Exterior angles of every polygon sum to 360°, which directly explains why the octagon's sum is 360°.
Start this chapter free
You have 14 solved above. Sign in with Google (no card needed). You get 1 Easy + 1 Medium quiz on every chapter during your 30-day trial. After that, you keep 1 Easy quiz on every chapter, free for good, plus the full key-concept notes, formulas & exam tips.
This chapter has 72 questions (24 Easy · 24 Medium · 24 Hard), with timed scoring and instant feedback. The rest unlock with the ₹999/year plan.
Start this chapter free →Understanding Quadrilaterals — FAQs
What are the key concepts in Class 8 Mathematics Understanding Quadrilaterals?+
This chapter covers polygons, the angle-sum properties of polygons, and the properties of special quadrilaterals like parallelograms, rhombuses and trapeziums. Key ideas include Polygons, Angle sum of a polygon, Exterior angles, Parallelogram properties.
What does Class 8 Mathematics Chapter 103 (Understanding Quadrilaterals) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Understanding Quadrilaterals": 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 "Understanding Quadrilaterals" questions free to practise?+
Yes. Sign in with Google to practise "Understanding Quadrilaterals" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.
How should I revise "Understanding Quadrilaterals" 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 "Understanding Quadrilaterals" 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 "Understanding Quadrilaterals" 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 Understanding Quadrilaterals (Class 8 Mathematics)?+
The questions that matter most test Polygons, Angle sum of a polygon, Exterior angles, Parallelogram properties. This page shows 14 solved important MCQs with answers and explanations; all 72 questions on the chapter are available as timed quizzes once you sign in.
Is there an online quiz for Understanding Quadrilaterals?+
Yes — Class 8 Mathematics Understanding Quadrilaterals 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.