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Class 9 Maths Unit 2: Logarithms

Free MCQ practice for this FBISE unit. Three tests, each with 1 minute per question, automatic checking and an explanation after every answer.

For 9th class Federal Board (FBISE) students: Maths Chapter 2, Logarithms, online MCQ test.

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Notes

Animated slides

Short animated slides that explain the unit one idea at a time, plus a printable PDF. Read these first, then practise.

Beginner Practice

15 questions · 15 min

Core definitions and basic skills with clear, direct questions.

Advanced Practice

20 questions · 20 min

Tougher, conceptual questions with real-life contexts and 'why is this wrong?' items.

Exam Ready

25 questions · 25 min

A mix of question styles and difficulty for final revision. Practice only, not an official paper.

Try a few questions

Open a question to see the options and the explained answer. Then take the full test to practise under time.

Sample question 1

A number is in scientific notation when it is written as d × 10n, where:

  1. d > 10 and n is a natural number
  2. 1 ≤ d < 10 and n is an integer
  3. 1 < d ≤ 10 and n is a fraction
  4. 0 ≤ d < 10 and n is any real number

Answer: B. The coefficient d must satisfy 1 ≤ d < 10, and the power n must be an integer. For example, 5.3 × 107.

Sample question 2

If logb x = y, which statement must be true?

  1. b = xy
  2. x = yb
  3. y = bx
  4. x = by

Answer: D. Changing logb x = y to exponential form gives by = x.

Sample question 3

Given log 2 = 0.3010 and log 3 = 0.4771, find log 12.

  1. 0.9542
  2. 0.7781
  3. 1.3010
  4. 1.0791

Answer: D. 12 = 22 × 3. So log 12 = 2(0.3010) + 0.4771 = 1.0791.