How many practice questions are available for Quadrilaterals?

SparkEd Math offers 60+ practice questions for Quadrilaterals across 3 difficulty levels (Easy, Medium, Hard) plus a timed test mode. Each question comes with visual step-by-step solutions and AI coaching hints.

Is Quadrilaterals content free on SparkEd Math?

Yes! All Quadrilaterals content on SparkEd Math is 100% free, including practice questions, visual solutions, lessons, and AI coaching. No credit card required.

How does SparkEd Math teach Quadrilaterals differently from textbooks?

SparkEd Math uses visual step-by-step solutions for every Quadrilaterals problem, making complex concepts easy to understand. The platform includes 3 difficulty levels for progressive learning, a Super Power Help AI coach for instant doubt-clearing, and interactive practice rather than passive reading.

Is SparkEd's Quadrilaterals content aligned with the CBSE syllabus?

Yes, all Quadrilaterals questions and lessons on SparkEd Math are fully aligned with the Central Board of Secondary Education (CBSE) syllabus for Class 8. The content follows the official curriculum structure and exam pattern.

Quadrilaterals — Class 8 CBSE (2025-26)

About Quadrilaterals — Class 8 CBSE

Classify quadrilaterals and explore angle sum and properties of special quadrilaterals. This topic is part of the CBSE Class 8 mathematics syllabus (chapter: Chapter 4). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Quadrilaterals

Introduction to Quadrilaterals
Classifying Quadrilaterals: Trapezium, Kite, and Parallelogram
Properties of Parallelograms
Special Parallelograms: Rhombus, Rectangle, and Square
Summary, Connections, and Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Quadrilaterals — solved examples for Class 8 CBSE

Example 1easy

The sum of the interior angles of any quadrilateral is always:

A)180°
B)360°
C)540°
D)720°

Step-by-step solution

A quadrilateral can be divided into two triangles by drawing one of its diagonals.
Since the sum of interior angles in each triangle is 180°, the sum of angles in the quadrilateral is the sum of angles of these two triangles.
Therefore, the sum of interior angles of a quadrilateral is 180° + 180° = 360°.

Answer: 360°

Example 2medium

The angles of a quadrilateral are in the ratio 3:5:9:13. Find the measure of the largest angle.

A)30°
B)60°
C)117°
D)150°

Step-by-step solution

Let the angles of the quadrilateral be 3x, 5x, 9x, and 13x.
The sum of the interior angles of a quadrilateral is 360°.
$3x + 5x + 9x + 13x = 360°$
Combine like terms: 30x = 360°.
Solve for x: x = 360° / 30 = 12°. The largest angle is 13x = 13 × 12° = 156°.
Let the angles be 3x, 5x, 9x, and 13x. The sum of angles in a quadrilateral is 360°.
So, 3x + 5x + 9x + 13x = 360°.
This simplifies to 30x = 360°.
Dividing by 30, we get x = 12°.
The largest angle is 13x = 13 × 12° = 156°.

Answer: 117°

Example 3hard

Consider a quadrilateral ABCD where the diagonals intersect at point O. If AO = OC, BO = OD, and AC is perpendicular to BD, which of the following statements *must* be true?

A)ABCD is a square.
B)ABCD is a rhombus.
C)ABCD is a rectangle.
D)ABCD is a kite but not a rhombus.

Step-by-step solution

The conditions AO = OC and BO = OD imply that the diagonals bisect each other. A quadrilateral whose diagonals bisect each other is a parallelogram.
The condition that AC is perpendicular to BD means the diagonals intersect at right angles. A parallelogram whose diagonals intersect at right angles is a rhombus.
Combining these, ABCD is a parallelogram that is also a rhombus. It is not necessarily a square because the diagonals are not given to be equal (which would make it a rectangle, and thus a square if also a rhombus).

Answer: ABCD is a rhombus.

Practice questions on Quadrilaterals

Q1.easy
Which of the following statements correctly describes a trapezium?
1. A)All four sides are equal.
2. B)Both pairs of opposite sides are parallel.
3. C)Exactly one pair of opposite sides is parallel.
4. D)Diagonals bisect each other.
Show answer
Answer: Exactly one pair of opposite sides is parallel.
Hint: Recall the definition of a trapezium and how it differs from a parallelogram.
Q2.easy
Ravi drew a parallelogram ABCD. He made the following statements. Which statement contains a mistake?
1. A)AB = DC
2. B)∠A = ∠C
3. C)AD = BC
4. D)AC = BD
Show answer
Answer: AC = BD
Hint: Consider the general properties of *any* parallelogram, not just special types like rectangles or squares.
Q3.easy
In a parallelogram PQRS, if ∠P = 75°, what is the measure of ∠Q?
1. A)75°
2. B)105°
3. C)90°
4. D)180°
Show answer
Answer: 105°
Hint: Remember the relationship between adjacent angles in a parallelogram.
Q4.medium
The perimeter of a parallelogram is 200 cm. If one side is 20 cm longer than the other, find the length of the shorter side.
1. A)40 cm
2. B)50 cm
3. C)60 cm
4. D)80 cm
Show answer
Answer: 40 cm
Hint: Recall that opposite sides of a parallelogram are equal. Set up an equation for the perimeter using variables for the side lengths.
Q5.medium
In a parallelogram ABCD, ∠A = (3x - 5)° and ∠B = (2x + 15)°. Find the value of x.
1. A)30
2. B)34
3. C)38
4. D)40
Show answer
Answer: 34
Hint: Adjacent angles in a parallelogram are supplementary. This means their sum is 180°.
Q6.medium
The diagonals of a parallelogram ABCD intersect at O. If AO = (2x - 3) cm and OC = (x + 5) cm, find the length of the diagonal AC.
1. A)11 cm
2. B)13 cm
3. C)22 cm
4. D)26 cm
Show answer
Answer: 26 cm
Hint: Remember that the diagonals of a parallelogram bisect each other. This means they cut each other into two equal parts.
Q7.hard
In a parallelogram ABCD, the bisectors of ∠A and ∠B meet at a point P. Find the measure of ∠APB.
1. A)45°
2. B)60°
3. C)75°
4. D)90°
Show answer
Answer: 90°
Hint: Remember that consecutive angles in a parallelogram are supplementary. Also, consider the angle sum property of a triangle.
Q8.hard
If the diagonals of a quadrilateral are equal and bisect each other at right angles, then the quadrilateral is a:
1. A)Rhombus but not necessarily a square.
2. B)Rectangle but not necessarily a square.
3. C)Square.
4. D)Parallelogram but not necessarily a rectangle or rhombus.
Show answer
Answer: Square.
Hint: Consider what each condition (diagonals bisecting, equal diagonals, perpendicular diagonals) implies about the type of quadrilateral.
Q9.hard
The perimeter of a rhombus is 60 cm. One of its diagonals is 24 cm. Find the length of the other diagonal.
1. A)18 cm
2. B)12 cm
3. C)20 cm
4. D)15 cm
Show answer
Answer: 18 cm
Hint: Remember that all sides of a rhombus are equal. Its diagonals bisect each other at right angles, forming four right-angled triangles.

These are 9 of the 60 questions available for Quadrilaterals. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.