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 slidesShort 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 minCore definitions and basic skills with clear, direct questions.
Advanced Practice
20 questions · 20 minTougher, conceptual questions with real-life contexts and 'why is this wrong?' items.
Exam Ready
25 questions · 25 minA mix of question styles and difficulty for final revision. Practice only, not an official paper.
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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 × 10<sup>n</sup>, where:
- d > 10 and n is a natural number
- 1 ≤ d < 10 and n is an integer
- 1 < d ≤ 10 and n is a fraction
- 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 × 10<sup>7</sup>.
Sample question 2
If log<sub>b</sub> x = y, which statement must be true?
- b = x<sup>y</sup>
- x = y<sup>b</sup>
- y = b<sup>x</sup>
- x = b<sup>y</sup>
Answer: D. Changing log<sub>b</sub> x = y to exponential form gives b<sup>y</sup> = x.
Sample question 3
Given log 2 = 0.3010 and log 3 = 0.4771, find log 12.
- 0.9542
- 0.7781
- 1.3010
- 1.0791
Answer: D. 12 = 2<sup>2</sup> × 3. So log 12 = 2(0.3010) + 0.4771 = 1.0791.