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Math Olympiad Mathematics — practice by topic

Browse 389 questions across 17 Mathematics topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Mathematics topics

Mathematics (389)Olympiad Maths (329)Olympiad Mathematics (60)Days and Months (30)Halves and Quarters (30)How Many Times (30)Integer Operations (30)Knowing Our Numbers (30)Measuring Length (30)Numbers (30)Patterns (30)Rational Numbers (30)Shapes and Space (30)Tables and Shares (30)Time and the Calendar (30)Whole Numbers and Place Value (30)Tens and Ones (29)

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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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