Lesson Worksheet: Introduction to Complex Numbers Mathematics • 10th Grade

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In this worksheet, we will practice dealing with imaginary numbers, knowing that complex numbers are made of a real part and an imaginary part.

Q1:

True or False: The roots of the equation 𝑥=16 are equal to the roots of the equation 𝑥=−16.

  • AFalse
  • BTrue

Q2:

Express √−54 in terms of 𝑖.

  • A−2√6𝑖
  • B3√6𝑖
  • C−3√6
  • D3√6𝑖
  • E3√2𝑖

Q3:

What type of number is 12𝑖?

  • AReal
  • BPure imaginary
  • CComplex

Q4:

True or False: Any real number is also a complex number.

  • ATrue
  • BFalse

Q5:

True or False: Any imaginary number is also a complex number.

  • AFalse
  • BTrue

Q6:

If 𝑝+2𝑖 is an imaginary number, what is the value of 𝑝?

Q7:

What is the value of (5𝑖)?

Q8:

Add 4 to −𝑖.

  • A−4−𝑖
  • B−4+𝑖
  • C−4𝑖
  • D4+𝑖
  • E4−𝑖

Q9:

What is the real part of the complex number 3+4𝑖?

Q10:

What is the imaginary part of the complex number 2−2𝑖?

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