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Vidaara.orgClass 9 · Mathematics
CodeVID-M9-24-CT
Mensuration (Areas and Volumes) — Full Chapter Test
Chapter: Mensuration (Areas and Volumes)
Topic: Complete chapter — all topics
Maximum Marks: 35
Time: 75 minutes
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.
Volume of a cube of edge $a$:
  • A.$6a^2$
  • B.$a^3$
  • C.$3a$
  • D.$a^2$
3.
Volume of a cylinder:
  • A.$2\pi r h$
  • B.$\pi r^2 h$
  • C.$\tfrac13\pi r^2 h$
  • D.$\pi r^2$
4.
Perimeter of a rectangle $=$
  • A.$l\times b$
  • B.$2(l+b)$
  • C.$l+b$
  • D.$4l$
5.
Surface area of a cube:
  • A.$a^3$
  • B.$6a^2$
  • C.$4a^2$
  • D.$a^2$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Find the area of a rectangle $8$ by $5$.
7.
Find the volume of a cube of edge $4$.
8.
Find the volume of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
9.
Find the perimeter of a rectangle $8$ by $5$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
Find the area and perimeter of a rectangle $15$ cm by $10$ cm.
11.
Find the volume and surface area of a cube of edge $7$ cm.
12.
Find the total surface area of a cylinder $r=7$, $h=10$ ($\pi=\tfrac{22}{7}$).
13.
Find the circumference of a circle of radius $14$ ($\pi=\tfrac{22}{7}$).
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
A rectangular park is $50$ m by $30$ m. Find its area and the cost of fencing at Rs $20$ per metre.
15.
A cuboidal water tank is $3$ m $\times$ $2$ m $\times$ $1.5$ m. Find its volume in litres and the metal sheet needed (open top).

Answer Key

Section A — Multiple Choice Questions
  1. (B) $l\times b$
  2. (B) $a^3$
  3. (B) $\pi r^2 h$
  4. (B) $2(l+b)$
  5. (B) $6a^2$
Section B — Short Answer (2 marks)
  1. $40$.
  2. $64$.
  3. $1540$.
  4. $26$.
Section C — Short Answer (3 marks)
  1. Area $150$ cm$^2$; perimeter $50$ cm.
  2. Volume $343$ cm$^3$; surface area $294$ cm$^2$.
  3. $748$.
  4. $88$.
Section D — Long Answer (5 marks)
  1. Area $1500$ m$^2$; cost Rs $3200$.
  2. Volume $9000$ L; sheet $21$ m$^2$.
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