StudyNest Interactive Practice

REAL NUMBERS · WORKSHEET 01

Types of Numbers

Build complete confidence with natural, whole, integer, rational, irrational, prime, composite, even, odd, square and cube numbers.

Foundation → Mastery
20
Mastery questions

Questions increase gradually in difficulty.

20–25 minutes

Work carefully rather than rushing.

Instant marking

Use hints and explanations when needed.

You will practise

Natural & wholeIntegersRational & irrational Prime & compositeEven & oddSquares & cubes Multiple classificationsMathematical reasoning
StudyNest convention: natural numbers begin at 1. Whole numbers include 0.

GETTING STARTED

Question 1 of 20

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1 Number families

FINAL CHECK

Review your answers

Green questions have an answer. Grey questions are unanswered. Select any question to return and make changes before submitting.

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WORKSHEET COMPLETE

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Strong areas

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Common mistakes to remember

  • Zero is whole, integer, rational and real, but it is not natural under the StudyNest convention.
  • Negative integers are not whole numbers.
  • Recurring decimals are rational because they can be written as fractions.
  • Not every square root is irrational: simplify it first.
  • A number can belong to several number families at the same time.