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Olympiad (Class 7) Rational numbers — practice questions

Explore 63 free Rational numbers questions in Olympiad (Class 7) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Rational numbers questions and exercises with answers

Showing questions 1–30 of 63.

Pick the rational number from these choices.Read the answer and worked solution →Zero is a rational number because it can be written in the form p/q, with q not zero, as which of these?Read the answer and worked solution →Which number, when added to −5/8, gives zero?Read the answer and worked solution →Which one of these numbers has no multiplicative inverse?Read the answer and worked solution →What is −36/48 in its simplest form?Read the answer and worked solution →Written with a positive denominator, 5/−9 becomes which number?Read the answer and worked solution →Find a rational number strictly between 1/4 and 1/2.Read the answer and worked solution →Which statement about rational numbers is true?Read the answer and worked solution →Comparing −3/4 and −2/3, which one is greater?Read the answer and worked solution →Which list arranges 1/2, −3/4, 2/3 and −1/3 from smallest to largest?Read the answer and worked solution →Add 2/3 and 3/4.Read the answer and worked solution →Find the value of −5/6 + 1/3.Read the answer and worked solution →Subtract 7/10 from 3/5. What is the result?Read the answer and worked solution →Multiply 2/7 by −21/8.Read the answer and worked solution →Divide −4/9 by 2/3.Read the answer and worked solution →By which number should −5/6 be multiplied to get 10/9?Read the answer and worked solution →The sum of any rational number and its additive inverse is which value?Read the answer and worked solution →Which operation on rational numbers is not commutative?Read the answer and worked solution →The set of rational numbers is closed under division in which sense?Read the answer and worked solution →Write 5/11 as a decimal.Read the answer and worked solution →A rational number is in standard form when:Read the answer and worked solution →What is the smallest positive whole number n for which 5/18 × n is a whole number?Read the answer and worked solution →A tank is 3/4 full. Then 2/3 of the water in it is used. What fraction of the whole tank is still filled?Read the answer and worked solution →One pipe fills 1/6 of a tank per hour, another fills 1/3. Together, how many hours to fill it?Read the answer and worked solution →One of two rationals is 3/8 and their sum is −1/2. Find the other one.Read the answer and worked solution →Work out −3/4 + 5/6 − 1/2.Read the answer and worked solution →Cube the number −2/3. What is the result?Read the answer and worked solution →Rewrite (3/2) with exponent −2 as a single fraction.Read the answer and worked solution →Raise −1/2 to the fourth power. What results?Read the answer and worked solution →Which two numbers are reciprocals of each other?Read the answer and worked solution →

Worked practice questions

Pick the rational number from these choices.

  1. The square root of 2
  2. The number pi (π)
  3. The number −7/3
  4. The square root of 10
Show answer and solution

Correct answer: C. The number −7/3

−7/3 is a quotient of two integers with a nonzero denominator, while the other three cannot be written that way.

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Zero is a rational number because it can be written in the form p/q, with q not zero, as which of these?

  1. 0/5
  2. 5/0
  3. 0/0
  4. 1/0
Show answer and solution

Correct answer: A. 0/5

0/5 has a nonzero denominator and equals zero, so zero fits the p/q form.

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Which number, when added to −5/8, gives zero?

  1. 8/5
  2. −8/5
  3. 5/8
  4. 0
Show answer and solution

Correct answer: C. 5/8

Adding 5/8 to −5/8 gives zero, so 5/8 is the additive inverse.

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More Mathematics topics

Data interpretation and analysisSimple Linear EquationsPerimeter and areaTriangles and congruence of trianglesConstructions and TilingsIntegersFractions and DecimalsFactors and Multiples