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 ICSE syllabus?

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

Quadrilaterals — Class 8 ICSE (2025-26)

About Quadrilaterals — Class 8 ICSE

Study properties of parallelograms, rectangles, rhombuses, squares, and trapeziums. This topic is part of the ICSE Class 8 mathematics syllabus (chapter: Chapter 10). On this page you can practice 59 questions across three difficulty levels — 19 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: The Four-Sided Wonders
Parallelograms: Understanding Their Unique Traits
Special Parallelograms: Rectangle, Rhombus, and Square
Other Quadrilaterals: Trapezium and Kite
Summary, Connections, and Exam Preparation

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

Quadrilaterals — solved examples for Class 8 ICSE

Example 1easy

Rohan is trying to find the sum of the interior angles of a quadrilateral ABCD. He knows that a triangle has an angle sum of 180°. How can he use this fact to find the sum for a quadrilateral?

A)A) Multiply 180° by 4 because there are 4 angles.
B)B) Divide the quadrilateral into two triangles and sum their angle totals.
C)C) Add 90° to 180° because a quadrilateral has four right angles.
D)D) It's impossible to determine without knowing the specific angles.

Step-by-step solution

Draw a diagonal in the quadrilateral, say AC. This divides the quadrilateral ABCD into two triangles: ΔABC and ΔADC.
The sum of interior angles of ΔABC is 180° and the sum of interior angles of ΔADC is 180°.
Therefore, the sum of interior angles of quadrilateral ABCD is the sum of the angles of these two triangles.
$Sum of angles = 180° (for ΔABC) + 180° (for ΔADC) = 360°$

Answer: B) Divide the quadrilateral into two triangles and sum their angle totals.

Example 2medium

The angles of a quadrilateral are (3x)°, (4x)°, (5x)°, and (6x)°. Find the value of x.

A)20°
B)45°
C)30°
D)15°

Step-by-step solution

The sum of the interior angles of a quadrilateral is 360°.
So, (3x)° + (4x)° + (5x)° + (6x)° = 360°.
Combine the terms: 18x = 360°.
Solve for x: x = 360 / 18 = 20°.

Answer: 20°

Example 3hard

The angles of a quadrilateral are in the ratio 3:4:5:6. Find the difference between the largest and the smallest angle.

A)60°
B)70°
C)80°
D)90°

Step-by-step solution

Let the angles be 3x, 4x, 5x, and 6x. The sum of the interior angles of a quadrilateral is 360°.
So, 3x + 4x + 5x + 6x = 360° ⇒ 18x = 360° ⇒ x = 20°.
The angles are: 3×20° = 60°, 4×20° = 80°, 5×20° = 100°, and 6×20° = 120°.
The largest angle is 120° and the smallest angle is 60°. Their difference is 120° - 60° = 60°.

Answer: 60°

Practice questions on Quadrilaterals

Q1.easy
A student states, 'A quadrilateral is a parallelogram if its opposite sides are equal in length.' Is this statement sufficient to define a parallelogram?
1. A)A) Yes, because equal opposite sides automatically mean they are parallel.
2. B)B) No, it also needs to have all angles equal to 90°.
3. C)C) No, it must also have opposite sides parallel.
4. D)D) Yes, but only if all sides are equal.
Show answer
Answer: C) No, it must also have opposite sides parallel.
Hint: Recall the fundamental definition of a parallelogram. Does simply having equal opposite sides guarantee it?
Q2.easy
Which of the following statements about a rectangle is NOT always true?
1. A)A) All four angles are right angles.
2. B)B) Diagonals bisect each other.
3. C)C) Diagonals are equal in length.
4. D)D) Diagonals are perpendicular to each other.
Show answer
Answer: D) Diagonals are perpendicular to each other.
Hint: Consider the special case when diagonals are perpendicular. Does every rectangle fit this special case?
Q3.easy
Imagine a quadrilateral ABCD where all four sides are equal in length (AB = BC = CD = DA). If the diagonal AC measures 6 cm and the diagonal BD measures 8 cm, what can you say about these diagonals?
1. A)A) They are equal in length.
2. B)B) They bisect each other at right angles.
3. C)C) They are parallel to each other.
4. D)D) They divide the quadrilateral into four equal triangles.
Show answer
Answer: B) They bisect each other at right angles.
Hint: The property 'all four sides are equal' defines a specific type of parallelogram. What are the unique properties of its diagonals?
Q4.medium
In a parallelogram ABCD, if ∠A = (2y + 10)° and ∠C = (3y - 20)°, find the measure of ∠B.
1. A)70°
2. B)110°
3. C)100°
4. D)80°
Show answer
Answer: 110°
Hint: Recall the properties of opposite angles and consecutive angles in a parallelogram.
Q5.medium
The perimeter of a parallelogram is 80 cm. If one side is 10 cm longer than the other side, find the lengths of all sides of the parallelogram.
1. A)15 cm, 25 cm, 15 cm, 25 cm
2. B)20 cm, 30 cm, 20 cm, 30 cm
3. C)35 cm, 45 cm, 35 cm, 45 cm
4. D)10 cm, 20 cm, 10 cm, 20 cm
Show answer
Answer: 15 cm, 25 cm, 15 cm, 25 cm
Hint: In a parallelogram, opposite sides are equal. Use this to set up an equation for the perimeter.
Q6.medium
In a rectangle PQRS, the diagonals PR and QS intersect at point O. If PR = (7x) cm and QS = (9x - 8) cm, find the length of PO.
1. A)11 cm
2. B)22 cm
3. C)16 cm
4. D)14 cm
Show answer
Answer: 14 cm
Hint: Remember the properties of diagonals in a rectangle. They are equal in length and bisect each other.
Q7.hard
In a parallelogram ABCD, the diagonals AC and BD intersect at O. If ∠AOB = 90°, what type of parallelogram is ABCD?
1. A)Rectangle
2. B)Rhombus
3. C)Square
4. D)Trapezium
Show answer
Answer: Rhombus
Hint: Consider the special properties that arise when the diagonals of a parallelogram are perpendicular.
Q8.hard
In a rhombus PQRS, if ∠QRS = 110°, what is the measure of ∠PQS?
1. A)35°
2. B)55°
3. C)70°
4. D)110°
Show answer
Answer: 35°
Hint: Remember that consecutive angles in a rhombus are supplementary, and its diagonals bisect the angles.
Q9.hard
In a rectangle ABCD, the diagonals intersect at O. If ∠BOC = 120°, find the measure of ∠OAD.
1. A)30°
2. B)45°
3. C)60°
4. D)75°
Show answer
Answer: 30°
Hint: Recall that the diagonals of a rectangle are equal and bisect each other, forming isosceles triangles.

These are 9 of the 59 questions available for Quadrilaterals. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.