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Real Numbers: Rational and Irrational — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 2)

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Distinguishing rational from irrational numbers and solving real-number problems (ACARA AC9M9N01), from a problem-solving angle.

  • One Word Answer
  • True or False

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Showing 5 of 40 questions from this worksheet.

Real Numbers: Rational and Irrational

A worksheet to practice distinguishing between rational and irrational numbers and solving related problems. Total: 40 marks.

Section A: True or False?

For each statement, determine if it is true or false and provide a brief explanation for your reasoning. [20 Marks]

True or False: The number \sqrt{25} is an irrational number. Explain why or why not.

True or False: All integers are rational numbers. Explain why or why not.

True or False: The number \pi is a rational number. Explain why or why not.

True or False: A number that can be written as a fraction of two integers is an irrational number. Explain why or why not.

True or False: The decimal expansion of an irrational number is non-terminating and non-repeating. Explain why or why not.

Section B: One-Word Answers

Provide a short, specific answer for each question. [20 Marks]

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