Vidaara.orgClass 8 · Mathematics
CodeVID-M8-12-CT
Polygons — 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.
A polygon is a closed figure made of:
- A.curves
- B.line segments
- C.arcs
- D.points
2.
The sum of interior angles of an $n$-gon is:
- A.$n\times180^\circ$
- B.$(n-2)\times180^\circ$
- C.$360^\circ$
- D.$\tfrac{360^\circ}{n}$
3.
A regular polygon has equal sides and equal:
- A.diagonals
- B.angles
- C.areas
- D.vertices
4.
A pentagon has:
- A.$4$ sides
- B.$5$ sides
- C.$6$ sides
- D.$7$ sides
5.
The sum of exterior angles of any polygon is:
- A.$180^\circ$
- B.$360^\circ$
- C.$(n-2)180^\circ$
- D.$90^\circ$
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
How many sides does a quadrilateral have?
7.
Find the interior angle sum of a quadrilateral.
8.
Does a square tessellate?
9.
How many sides does a heptagon have?
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Name the polygon with $8$ sides.
11.
Find the interior angle sum of a hexagon.
12.
How many equilateral triangles meet at a point in a tessellation?
13.
How many diagonals does a quadrilateral have?
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
Give the name and number of sides for the triangle, quadrilateral, pentagon, hexagon and octagon.
15.
Find each interior angle of a regular hexagon and verify it with the exterior angle.
Answer Key
Section A — Multiple Choice Questions
- (B) line segments
- (B) $(n-2)\times180^\circ$
- (B) angles
- (B) $5$ sides
- (B) $360^\circ$
Section B — Short Answer (2 marks)
- $4$.
- $360^\circ$.
- Yes.
- $7$.
Section C — Short Answer (3 marks)
- Octagon.
- $720^\circ$.
- $6$ ($6\times60^\circ=360^\circ$).
- $2$.
Section D — Long Answer (5 marks)
- $3, 4, 5, 6, 8$ respectively.
- Interior $120^\circ$, exterior $60^\circ$; $120^\circ+60^\circ=180^\circ$.
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