Trapezium is one of the important topics in Geometry for competitive exams. It is a type of quadrilateral with one pair of parallel sides and involves concepts related to angles, height, perimeter, median, and area. Questions based on trapezium commonly appear in SSC Exams. A strong understanding of trapezium properties, formulas, and problem-solving techniques helps candidates solve geometry questions quickly and accurately. Regular practice and proper understanding of concepts can make trapezium-based questions easy to score in exams.
Trapezium Questions PDF Download Link
Download Quadrilateral Questions PDF highly useful for SSC CGL Exam by clicking on the link below:
Attempt Trapezium Live Quiz
Below are some important trapezium questions for SSC CGL and other competitive exams for your practice. Attempt them live and check your score according to the real exam marking scheme.
Q1. A trapezium has parallel sides of length 8 cm and 14 cm, and height 6 cm. Its area is:
Q2. The parallel sides of a trapezium are in ratio 3:5. If the area is 96 cm2 and height is 8 cm, the longer parallel side is:
Q3. In a trapezium ABCD, AB ∥ CD. If ∠A = 70°, then ∠D equals:
Q4. The median (mid-segment) of a trapezium is 11 cm. If one parallel side is 8 cm, the other parallel side is:
Q5. Which of the following is NOT necessarily true about a trapezium?
Q6. In an isosceles trapezium, the base angles are equal. If ∠A = 65°, find ∠C:
Q7. The area of a trapezium is 180 cm2. Its height is 12 cm and one parallel side is 20 cm. The other parallel side is:
Q8. A trapezium has parallel sides 9 cm and 15 cm. The legs are each 5 cm. The height of the trapezium is:
Q9. The diagonals of an isosceles trapezium are:
Q10. In trapezium ABCD with AB ∥ CD, the diagonals AC and BD intersect at O. If AB = 6 cm and CD = 3 cm, then AO:OC =
Q11. A trapezium ABCD has AB ∥ CD. If the diagonals intersect at O and the area of △AOB = 36 cm2, area of △COD = 9 cm2, then area of trapezium ABCD is:
Q12. Which quadrilateral is a special case of a trapezium?
Q13. In trapezium ABCD, AB ∥ CD. P and Q are midpoints of the diagonals AC and BD respectively. Then PQ =
Q14. The perimeter of an isosceles trapezium is 40 cm. Its parallel sides are 10 cm and 16 cm. Each leg is:
Q15. The angle bisectors of the two base angles of a trapezium meet at a point on:
Q16. The parallel sides of a trapezium are 13 cm and 7 cm, and its non-parallel sides are 5 cm each. Its area is:
Q17. A field is in the shape of a trapezium with parallel sides 25 m and 35 m. The perpendicular distance between them is 40 m. The cost of cultivating it at ₹5 per m2 is:
Q18. The area of a trapezium is equal to the area of a square of side 12 cm. If the height of the trapezium is 9 cm and one parallel side is 10 cm, the other parallel side is:
Q19. The parallel sides of a trapezium are (2x + 1) and (3x − 2), and height is 4 cm. If the area is 42 cm2, the value of x is:
Q20. If the parallel sides of a trapezium are doubled and the height remains the same, the area becomes:
Quiz Summary
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I’m Mahima Khurana, a writer with a strong passion for creating meaningful, learner-focused content especially in the field of competitive exam preparation. From authoring books and developing thousands of practice questions to crafting articles and study material, I specialize in transforming complex exam-related topics into clear, engaging, and accessible content. I have first hand experience of 5+ months in SSC Exams. Writing, for me, is not just a skill but a way to support and guide aspirants through their preparation journey one well-written explanation at a time.