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Math Olympiad — free MCQ practice

Choose from 389 questions across 1 subjects and 17 topics. Open any question for its answer and worked solution, or keep learning through bite-sized lessons and reviews with Quill.

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Math Olympiad subjects

Mathematics (389)

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MathematicsOlympiad MathsOlympiad MathematicsDays and MonthsHalves and QuartersHow Many TimesInteger OperationsKnowing Our NumbersMeasuring LengthNumbersPatternsRational NumbersShapes and SpaceTables and SharesTime and the CalendarWhole Numbers and Place ValueTens and Ones

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A number written as p over q, with q not zero, is called a:Read the answer and worked solution →Adding any two integers always gives back an:Read the answer and worked solution →Adding two rational numbers always gives another rational number, so the set is:Read the answer and worked solution →Subtracting one rational number from another also gives a rational number, so the set is closed under:Read the answer and worked solution →

Worked practice questions

A number written as p over q, with q not zero, is called a:

  1. Rational number
  2. Radical number
  3. Rounded number
  4. Reduced number
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Correct answer: A. Rational number

1. Both parts of the fraction must be integers. 2. The bottom one may not be zero. 3. Such a number is a rational number. _Source: syllabus Mathematics Class VIII, Chapter 1, Rational Numbers._

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Adding any two integers always gives back an:

  1. Isotope
  2. Integer
  3. Interval
  4. Inverse
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Correct answer: B. Integer

1. Try minus six plus five and you get minus one. 2. No sum ever falls outside the set. 3. So the answer is always an integer. _Source: syllabus Mathematics Class VIII, Chapter 1, Rational Numbers._

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Adding two rational numbers always gives another rational number, so the set is:

  1. Closed
  2. Curved
  3. Capped
  4. Cornered
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Correct answer: A. Closed

1. The answer never escapes the set. 2. That is exactly what the word means here. 3. So rational numbers are closed under addition. _Source: syllabus Mathematics Class VIII, Chapter 1, Rational Numbers._

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How to practise

  1. Choose a Math Olympiad question and try to work out your answer.
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