Lesson 4.5.1.1

4.5.1.1 Natural, rational, irrational and real numbers Quiz: AQA Computer Science, Unit 5

20 questions

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Lesson 4.5.1.1, Natural, rational, irrational and real numbers: 20 multiple choice questions for the AQA Computer Science (7517), Unit 5: Fundamentals of data representation, written with Revision Ninja.

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The 20 questions

  1. Which set is written as N = {0, 1, 2, 3, ...} in this specification?

    • The irrational numbers
    • The rational numbers
    • The real numbers
    • The natural numbers
  2. Which of these numbers is an irrational number?

    • Minus 5
    • Square root of 2
    • 0 point 75
    • 3 over 4
  3. Which number set includes all natural, rational and irrational numbers?

    • Natural numbers
    • Integer numbers
    • Real numbers
    • Rational numbers
  4. How can any integer n be written to show it is rational?

    • n over n
    • n over 1
    • n times 0
    • 1 over n
  5. How is an irrational number defined?

    • Cannot be negative
    • Is always zero
    • Must be integer
    • Cannot be fraction
  6. Which symbol denotes the set of rational numbers?

    • Z
    • Q
    • R
    • N
  7. Which number set represents all possible real-world continuous quantities?

    • Rational numbers
    • Integers
    • Real numbers
    • Natural numbers
  8. Why is the number 7 classified as rational?

    • It is prime
    • It is positive
    • It is odd
    • Expressible as fraction
  9. Which of the following is a rational number?

    • 0.75
    • Square root of 3
    • Square root of 2
    • Pi
  10. Which of these is NOT an integer?

    • 45
    • -12
    • 3/4
    • 0
  11. Which value is included in the set of natural numbers N?

    • 0
    • Minus 1
    • 0 point 5
    • Square root of 2
  12. Which number set best represents continuous measurements like 2.5 metres?

    • Real numbers
    • Natural numbers
    • Irrational numbers
    • Integers
  13. Which pair consists of two rational numbers?

    • 2/3 and 0.5
    • Pi and sqrt(2)
    • 0.5 and sqrt(2)
    • Pi and 2/3
  14. Which number belongs to the integers Z but NOT to the natural numbers N as defined here?

    • 12
    • 7
    • -5
    • 0
  15. Which set is the square root of 9 NOT a member of?

    • Natural numbers
    • Rational numbers
    • Real numbers
    • Irrational numbers
  16. Every real number belongs to which classification pair?

    • Rational or irrational
    • Only positive integers
    • Only non-zero values
    • Exclusively fractions
  17. Which set of numbers is closed under subtraction?

    • Prime numbers
    • Irrational numbers
    • Natural numbers
    • Integers
  18. If x is rational and y is irrational, what is x + y?

    • Rational
    • Integer
    • Irrational
    • Natural number
  19. Which proof technique is standardly used to show that the square root of 2 is irrational?

    • Proof by contradiction
    • Proof by induction
    • Proof by exhaustion
    • Direct proof
  20. Which number set best classifies the value 2 + √3?

    • Irrational numbers
    • Natural numbers
    • Rational numbers
    • Integer numbers

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