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Federal (FBISE) · Chapter test · Free

9th Class General Math Chapter 6 Test06. Exponents and Longatithms

30 marks · 40 minutes · 21 questions. Covers: 06. Exponents and Longatithms.

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9th Class General Math Chapter 6 Test

9th Class · General Math · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. Prepare a table of inverse logarithms.
    1. Briggs
    2. By Jobst Burgi
    3. By Napier
    4. By Jabir bin Hayyan
  2. What is the logarithmic value of a number between 100 and 1000?
    1. Between 1 and 2
    2. Between 2 and 3
    3. Between 3 and 4
    4. Between 0 and 1
  3. 8.24 × 10⁻⁴ can be written as
    1. 8.24 × 10⁻⁴
    2. 0.824
    3. 0.824
    4. 0.000824
  4. A simple way of writing large numbers and small numbers was discovered which is called.
    1. Decimal form
    2. Scientific progress
    3. Enrollment progress
    4. Facial enhancer
  5. 556600 is the scientific notation.
    1. 5.56600 × 10⁵
    2. 5.56600 × 10⁻⁵
    3. 5.56600 × 10⁴
    4. 5.56600 × 10⁻⁴
  6. In scientific development, positive numbers are two numbers ............ is written as
    1. Collected
    2. Gain differentiation
    3. Quotient
    4. Multiplication
  7. The logarithm calculated to the base " 10 " is called
    1. mantissa
    2. common logarithm
    3. characteristic
    4. natural number
  8. The fractional part of the logarithm of a number is called
    1. Character
    2. Mantissa
    3. Log
    4. None of these
  9. __________
    1. 1.72 × 10⁻²
    2. 1.72 × 10²
    3. 1.72 × 10⁻³
    4. 1.72 × 10³
  10. The value of log0.00125 will be.
    1. 0.0969
    2. 1.0969
    3. .0969
    4. .0969

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Express in exponential form: a35 \sqrt[5]{a^3}
  2. Simplify : 2x3/44x3/5 \frac{2x^{3/4}}{4x^{3/5}}
  3. Exponential form: 1akb \frac{1}{\sqrt[b]{a^k}}
  4. Evaluate : 25×9−127−3×8−3 \frac{2^5 \times 9^{-1}}{27^{-3} \times 8^{-3}}
  5. Evaluate : (x3y)3×(2xa)−24x−4y−5 \frac{(x^3y)^3 \times (2xa)^{-2}}{4x^{-4}y^{-5}}
  6. Simplify and answer in exponential form. 8a93 \sqrt[3]{8a^{9}}
  7. Simplify : 5a3/4b3/520a1/5b1/4 \frac{5a^{3/4}b^{3/5}}{20a^{1/5}b^{1/4}}
  8. Simplify : 6x3/7×13x1/4y2/5 6 x^{3/7} \times \frac{1}{3} x^{1/4} y^{2/5}

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Using logarithmic table evaluate the following: 8.67×3.941.78 \frac{8.67 \times 3.94}{1.78}
  2. If v=gl2π v = \sqrt{\frac{g l}{2 \pi} } find v. When l = 150 , g = 32.16 , π= 3.142
  3. Show that: log⁡(914)+log⁡(3524)−log⁡(1516)=0 \log\left(\frac{9}{14}\right) + \log\left(\frac{35}{24}\right) - \log\left(\frac{15}{16}\right) =0