Class 8 Mathematics Worksheet
Chapter: Quadrilaterals
Section A: Multiple Choice Questions (MCQs)
1. A quadrilateral has:
a) 3 sides
b) 4 sides
c) 5 sides
d) 6 sides
2. Sum of interior angles of a quadrilateral is:
a) 180°
b) 270°
c) 360°
d) 450°
3. A quadrilateral with only one pair of parallel sides is called:
a) Parallelogram
b) Trapezium
c) Rhombus
d) Square
4. A rectangle has all angles equal to:
a) 45°
b) 90°
c) 60°
d) 120°
5. A square is a special type of:
a) Triangle
b) Rhombus
c) Circle
d) Pentagon
Section B: Fill in the Blanks
6. A quadrilateral has ______ vertices.
7. The diagonals of a rectangle are ______ in length.
8. A parallelogram has ______ pairs of parallel sides.
9. A square has all sides ______ in length.
10. The sum of all interior angles of a quadrilateral is ______ degrees.
Section C: True or False
11. A trapezium has two pairs of parallel sides.
12. A rhombus has all sides equal.
13. A square is also a rectangle.
14. The diagonals of a square are equal and perpendicular.
15. A kite has all sides equal.
Section D: Short Answer Questions
16. Define a quadrilateral.
17. Write two properties of a parallelogram.
18. What is the difference between a square and a rectangle?
19. Name all types of quadrilaterals you know.
20. Why is the sum of interior angles of a quadrilateral always 360°?
Section E: Word Problems
21. Find the fourth angle of a quadrilateral whose three angles are 90°, 80°, and 110°.
22. A rectangle has length 8 cm and breadth 5 cm. Find its perimeter.
23. A square has side 6 cm. Find its perimeter.
24. The angles of a quadrilateral are in the ratio 1:2:3:4. Find all angles.
25. A parallelogram has one angle 70°. Find all other angles.
Answer Key
Section A: MCQs
1. b) 4 sides
2. c) 360°
3. b) Trapezium
4. b) 90°
5. b) Rhombus
Section B: Fill in the Blanks
6. 4
7. Equal
8. Two
9. Equal
10. 360°
Section C: True or False
11. False
12. True
13. True
14. True
15. False
Section D: Short Answers
16. A quadrilateral is a closed figure with four sides, four vertices, and four angles.
17. Two properties of a parallelogram:
- Opposite sides are equal and parallel
- Opposite angles are equal
18. Difference between square and rectangle:
- Square: all sides equal
- Rectangle: opposite sides equal only
19. Types of quadrilaterals:
Square, rectangle, rhombus, parallelogram, trapezium, kite.
20. A quadrilateral can be divided into two triangles. Since each triangle has 180°, total is 360°.
Section E: Word Problems
21. Fourth angle =
360° − (90° + 80° + 110°) = 80°
22. Perimeter of rectangle = 2(l + b)
= 2(8 + 5) = 2 × 13 = 26 cm
23. Perimeter of square = 4a
= 4 × 6 = 24 cm
24. Sum of angles = 360°
Ratio = 1:2:3:4 → total parts = 10
Each part = 360 ÷ 10 = 36°
Angles =
1×36 = 36°
2×36 = 72°
3×36 = 108°
4×36 = 144°
25. In a parallelogram, adjacent angles sum = 180°
One angle = 70°
Next angle = 180° − 70° = 110°
Opposite angles are equal, so:
Angles = 70°, 110°, 70°, 110°