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Real Numbers: Rational and Irrational — Australian Curriculum (ACARA) Grade 9 Mathematics Worksheet (Set 1)

Australian Curriculum (ACARA)
Grade 9
Mathematics
40 questions

Recognising that the real number system includes rational and irrational numbers, and solving problems involving real numbers using digital tools (ACARA AC9M9N01), from a classification-and-computation angle.

  • Fill in the Blanks
  • Multiple Choice

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Real Numbers: Rational and Irrational

This worksheet covers the classification and properties of real, rational, and irrational numbers. Total marks: 40.

Section A: Fill in the Blanks [20 Marks]

Complete each statement with the correct term.

A number that can be expressed as a fraction \frac{p}{q}, where p and q are integers and q is not zero, is called a ________ number.

A number that cannot be expressed as a simple fraction is called an ________ number.

The set of all rational and irrational numbers together forms the set of ________ numbers.

The decimal representation of an irrational number is non-terminating and ________.

The decimal representation of a rational number is either terminating or ________.

Section B: Multiple Choice [20 Marks]

Choose the correct answer for each question.

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