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Olympiad (Class 8) Olympiad Mathematics — practice questions

Explore 30 free Olympiad Mathematics questions in Olympiad (Class 8) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Olympiad Mathematics questions and exercises with answers

Showing questions 1–30 of 30.

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 →Multiplying two rational numbers always gives a rational number, so the set is closed under:Read the answer and worked solution →Because dividing any rational number by zero is not defined, the set is not closed under:Read the answer and worked solution →Two rational numbers can be added in either order, so addition is:Read the answer and worked solution →Because 5 minus 3 differs from 3 minus 5, subtraction of rational numbers is:Read the answer and worked solution →Dividing 6 by 2 differs from dividing 2 by 6, so division is:Read the answer and worked solution →Regrouping three rational numbers being added leaves the total unchanged, so addition is:Read the answer and worked solution →Moving the brackets in a subtraction does change the answer, so subtraction is:Read the answer and worked solution →Regrouping three rational numbers being multiplied leaves the product unchanged, so multiplication is:Read the answer and worked solution →Adding zero to any rational number leaves it unchanged, so zero is the additive:Read the answer and worked solution →Multiplying any rational number by 1 leaves it unchanged, so 1 is the multiplicative:Read the answer and worked solution →The rule that a times the sum of b and c equals ab plus ac is called:Read the answer and worked solution →Using that rule, 5 times the sum of 3 and 4 equals:Read the answer and worked solution →Adding zero to negative 5 gives:Read the answer and worked solution →Multiplying negative 7 by 1 gives:Read the answer and worked solution →Because 4 plus 7 is a whole number for every such pair, whole numbers are closed under:Read the answer and worked solution →Because 3 times 7 is a whole number for every such pair, whole numbers are closed under:Read the answer and worked solution →Multiplying negative 5 by negative 8 gives an answer that is an:Read the answer and worked solution →Taking the average of two rational numbers is one way to find a rational number that lies:Read the answer and worked solution →Catch the number propertiesRead the answer and worked solution →Pop the closed operationsRead the answer and worked solution →Run the property gatesRead the answer and worked solution →Slice the number wordsRead the answer and worked solution →Holds or failsRead the answer and worked solution →Sort the maths wordsRead the answer and worked solution →Type the numberRead the answer and worked solution →Rationals bingoRead 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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