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Vidaara.orgClass 9 · Mathematics
CodeVID-M09-21-CML-01
Common Logarithms - Assignment
Chapter: Logarithm
Topic: Common Logarithms and Applications
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.
The common logarithm has base:
  • A.$2$
  • B.$e$
  • C.$10$
  • D.$1$
2.
$\log 1=$
  • A.$0$
  • B.$1$
  • C.$10$
  • D.undefined
3.
$\log 10=$
  • A.$0$
  • B.$1$
  • C.$10$
  • D.$2$
4.
$\log 1000=$
  • A.$2$
  • B.$3$
  • C.$4$
  • D.$10$
5.
The integer part of a logarithm is the:
  • A.mantissa
  • B.characteristic
  • C.base
  • D.exponent
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
Evaluate $\log 100$.
7.
Evaluate $\log 10000$.
8.
What is the base of a common logarithm?
9.
Evaluate $\log 1$.
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
If $\log 2=0.301$, find $\log 200$.
11.
If $\log 3=0.477$, find $\log 300$.
12.
Find the characteristic of $\log 3456$.
13.
If $\log 5=0.699$, find $\log 0.5$.
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
Given $\log 2=0.301$ and $\log 3=0.477$, evaluate $\log 72$.
15.
Given $\log 2=0.301$, find $\log 64$ and $\log 0.25$.

Answer Key

Section A — Multiple Choice Questions
  1. (C) $10$
  2. (A) $0$
  3. (B) $1$
  4. (B) $3$
  5. (B) characteristic
Section B — Short Answer (2 marks)
  1. $2$.
  2. $4$.
  3. $10$.
  4. $0$.
Section C — Short Answer (3 marks)
  1. $2.301$.
  2. $2.477$.
  3. $3$.
  4. $-0.301$.
Section D — Long Answer (5 marks)
  1. $1.857$.
  2. $1.806$ and $-0.602$.
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