Vidaara.orgClass 8 · Mathematics
CodeVID-M8-15-CT
Perimeter & Area — 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.
Area of a rectangle $=$
- A.$l+b$
- B.$l\times b$
- C.$2(l+b)$
- D.$\tfrac12 lb$
2.
The area of a trapezium is:
- A.$\tfrac12(a+b)h$
- B.$ab$
- C.$\tfrac12 ab$
- D.$(a+b)h$
3.
The area of a composite figure is the ___ of its parts.
- A.product
- B.sum
- C.difference
- D.average
4.
Area of a square $=$
- A.$4a$
- B.$a^2$
- C.$2a$
- D.$a^3$
5.
The perimeter is the total length of the:
- A.area
- B.boundary
- C.diagonal
- D.height
Section B — Short Answer (2 marks)
4 × 2 = 8 marks
6.
Find the area of a rectangle $8$ by $5$.
7.
Find the area of a trapezium, parallel sides $6$ and $10$, height $4$.
8.
A figure is made of a $6\times4$ rectangle and a $4\times3$ rectangle. Find the total area.
9.
Find the area of a square of side $6$.
Section C — Short Answer (3 marks)
4 × 3 = 12 marks
10.
Find the area and perimeter of a rectangle $12$ cm by $9$ cm.
11.
Find the area of a trapezium, parallel sides $8$ cm and $12$ cm, height $5$ cm.
12.
An L-shape is a $10\times6$ rectangle with a $4\times3$ rectangle removed. Find its area.
13.
Find the area of a triangle, base $14$, height $9$.
Section D — Long Answer (5 marks)
2 × 5 = 10 marks
14.
A rectangular plot is $40$ m by $25$ m. Find its area and the cost of fencing at Rs $30$ per metre.
15.
A trapezium-shaped field has parallel sides $30$ m and $50$ m and height $20$ m. Find its area and the cost of levelling at Rs $8$ per m$^2$.
Answer Key
Section A — Multiple Choice Questions
- (B) $l\times b$
- (A) $\tfrac12(a+b)h$
- (B) sum
- (B) $a^2$
- (B) boundary
Section B — Short Answer (2 marks)
- $40$.
- $32$.
- $36$.
- $36$.
Section C — Short Answer (3 marks)
- Area $108$ cm$^2$; perimeter $42$ cm.
- $50$ cm$^2$.
- $48$.
- $63$.
Section D — Long Answer (5 marks)
- Area $1000$ m$^2$; cost Rs $3900$.
- Area $800$ m$^2$; cost Rs $6400$.
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