Vidaara.orgClass 8 · Mathematics
CodeVID-M8-11-CT
Quadrilaterals — Full Chapter Test
Name: ____________________
Roll No.: __________
Date: ____________
General Instructions
- This is a full-length test covering the whole chapter — every topic is included.
- 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.
The angle sum of a quadrilateral is:
- A.$180^\circ$
- B.$360^\circ$
- C.$270^\circ$
- D.$540^\circ$
2.
Each angle of a rectangle is:
- A.$60^\circ$
- B.$90^\circ$
- C.$120^\circ$
- D.$45^\circ$
3.
A trapezium has exactly ___ pair of parallel sides.
- A.zero
- B.one
- C.two
- D.three
4.
In a parallelogram, opposite sides are:
- A.unequal
- B.equal
- C.perpendicular
- D.zero
5.
A rhombus has:
- A.all angles equal
- B.all sides equal
- C.no equal sides
- D.one right angle
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Three angles of a quadrilateral are $90^\circ, 90^\circ, 90^\circ$. Find the fourth.
7.
How many pairs of parallel sides does a trapezium have?
8.
In a parallelogram one angle is $60^\circ$. Find the opposite angle.
9.
Are all sides of a rhombus equal?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
The angles of a quadrilateral are in ratio $1:2:3:4$. Find them.
11.
The diagonals of a rhombus are $6$ and $8$. Find its side.
12.
Find the area of a trapezium with parallel sides $8$ and $12$ and height $5$.
13.
In a parallelogram one angle is $70^\circ$. Find all four.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
In parallelogram $ABCD$, $\angle A=(2x+20)^\circ$ and $\angle B=(3x-40)^\circ$. Find all four angles.
15.
The diagonals of a rhombus are $16$ cm and $12$ cm. Find its side and area.
Answer Key
Section A — Multiple Choice Questions
- (B) $360^\circ$
- (B) $90^\circ$
- (B) one
- (B) equal
- (B) all sides equal
Section B — Short Answer (2 marks)
- $90^\circ$.
- $1$.
- $60^\circ$.
- Yes.
Section C — Short Answer (3 marks)
- $36^\circ, 72^\circ, 108^\circ, 144^\circ$.
- $5$.
- $50$.
- $70^\circ, 110^\circ, 70^\circ, 110^\circ$.
Section D — Long Answer (5 marks)
- $x=40$; $100^\circ, 80^\circ, 100^\circ, 80^\circ$.
- Side $10$ cm; area $96$ cm$^2$.
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