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Rational and irrational numbers

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.NS.A.1, 8.NS.A.2 Β· England: GCSE Higher Number

Name

Date

Score/ 16

  1. Question 1

    Which of these numbers is irrational: βˆ’8 ; 0.333… (repeating) ; √16 ; Ο€?

    • A. 0.333… (repeating)
    • B. βˆ’8
    • C. Ο€
    • D. √16
  2. Question 2

    Is 5/9 rational or irrational?

    • A. Rational
    • B. Irrational
  3. Question 3

    Which of these numbers is irrational: √3 ; √(9/4) ; 3/7 ; 0.333… (repeating)?

    • A. √3
    • B. √(9/4)
    • C. 3/7
    • D. 0.333… (repeating)
  4. Question 4

    Is √(1/4) rational or irrational?

    • A. Rational
    • B. Irrational
  5. Question 5

    Which of these numbers is irrational: √7 ; 3/7 ; 1.25 ; βˆ’8?

    • A. 3/7
    • B. √7
    • C. βˆ’8
    • D. 1.25
  6. Question 6

    Is √50 rational or irrational?

    • A. Rational
    • B. Irrational
  7. Question 7

    Which of these numbers is irrational: √2 ; 0.75 ; 22/7 ; 0.333… (repeating)?

    • A. 0.333… (repeating)
    • B. √2
    • C. 22/7
    • D. 0.75
  8. Question 8

    Is √0.5 rational or irrational?

    • A. Rational
    • B. Irrational
  9. Question 9

    Which of these numbers is irrational: √49 ; √16 ; √2 + 1 ; 22/7?

    • A. √2 + 1
    • B. √49
    • C. √16
    • D. 22/7
  10. Question 10

    Is 0.121212… (repeating) rational or irrational?

    • A. Rational
    • B. Irrational
  11. Question 11

    Which of these numbers is irrational: 1.25 ; √16 ; √2 ; 22/7?

    • A. 1.25
    • B. √2
    • C. √16
    • D. 22/7
  12. Question 12

    Is √12 rational or irrational?

    • A. Rational
    • B. Irrational
  13. Question 13

    Which of these numbers is irrational: 0.75 ; Ο€ ; 3/7 ; √49?

    • A. Ο€
    • B. 0.75
    • C. 3/7
    • D. √49
  14. Question 14

    Is 0.121212… (repeating) rational or irrational?

    • A. Rational
    • B. Irrational
  15. Question 15

    Which of these numbers is irrational: 0.75 ; 22/7 ; √49 ; √7?

    • A. √7
    • B. √49
    • C. 22/7
    • D. 0.75
  16. Question 16

    Is 5/9 rational or irrational?

    • A. Rational
    • B. Irrational

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Answer key: Rational and irrational numbers

  1. 1. C. Ο€

  2. 2. A. Rational

  3. 3. A. √3

  4. 4. A. Rational

  5. 5. B. √7

  6. 6. B. Irrational

  7. 7. B. √2

  8. 8. B. Irrational

  9. 9. A. √2 + 1

  10. 10. A. Rational

  11. 11. B. √2

  12. 12. B. Irrational

  13. 13. A. Ο€

  14. 14. A. Rational

  15. 15. A. √7

  16. 16. A. Rational