← Back to topic
Vidaara.orgClass 8 · Mathematics
CodeVID-M08-11-TRK-01
Trapezium & Kite - Assignment
Chapter: Quadrilaterals
Topic: Non-Parallelogram Quadrilaterals: Trapezium & Kite
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
A trapezium has exactly ___ pair of parallel sides.
  • A.zero
  • B.one
  • C.two
  • D.three
2.
A kite has two pairs of ___ equal sides.
  • A.opposite
  • B.adjacent
  • C.parallel
  • D.vertical
3.
The area of a trapezium is:
  • A.$\tfrac12(a+b)h$
  • B.$ab$
  • C.$\tfrac12 ab$
  • D.$(a+b)h$
4.
The diagonals of a kite are:
  • A.equal
  • B.perpendicular
  • C.parallel
  • D.unequal only
5.
The parallel sides of a trapezium are its:
  • A.legs
  • B.bases
  • C.arms
  • D.diagonals
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
How many pairs of parallel sides does a trapezium have?
7.
Write the area formula for a trapezium.
8.
At what angle do a kite's diagonals meet?
9.
How many pairs of equal adjacent sides does a kite have?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area of a trapezium with parallel sides $8$ and $12$ and height $5$.
11.
Find the area of a trapezium with parallel sides $6$ cm and $10$ cm and height $4$ cm.
12.
A kite has diagonals $8$ and $6$. Find its area.
13.
The parallel sides of a trapezium are $7$ and $11$. Find their average.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A trapezium has parallel sides $15$ cm and $25$ cm and height $12$ cm. Find its area.
15.
The area of a trapezium is $72$ cm$^2$ and its parallel sides are $9$ cm and $15$ cm. Find its height.

Answer Key

Section A — Multiple Choice Questions
  1. (B) one
  2. (B) adjacent
  3. (A) $\tfrac12(a+b)h$
  4. (B) perpendicular
  5. (B) bases
Section B — Short Answer (2 marks)
  1. $1$.
  2. $\tfrac12(a+b)h$.
  3. $90^\circ$.
  4. $2$.
Section C — Short Answer (3 marks)
  1. $50$.
  2. $32$ cm$^2$.
  3. $24$.
  4. $9$.
Section D — Long Answer (5 marks)
  1. $240$ cm$^2$.
  2. $6$ cm.
Generated by Vidaara.org · Assignment VID-M08-11-TRK-01 · vidaara.org