Lesson N5

N5 Systematic listing and the product rule for counting Quiz: AQA Maths, Unit 1

20 questions

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Lesson N5, Systematic listing and the product rule for counting: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 1: Number, written with Revision Ninja.

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The 20 questions

  1. A shirt comes in 4 colours and 3 sizes. How many different shirts are possible?

    • 12
    • 7
    • 8
    • 16
  2. A meal has 3 starters, 5 mains and 2 desserts. How many different three-course meals are possible?

    • 30
    • 25
    • 10
    • 15
  3. How many 2-digit numbers can be made from the digits 1, 2 and 3 with no digit repeated?

    • 6
    • 9
    • 3
    • 5
  4. How many 3-digit numbers can be formed from the digits 4, 5 and 6 when digits may repeat?

    • 18
    • 6
    • 27
    • 9
  5. A coin is flipped twice. How many different outcomes are possible?

    • 8
    • 4
    • 3
    • 2
  6. A number plate uses 2 letters from 26 followed by 1 digit from 10, with repeats allowed. How many plates are possible?

    • 260
    • 2600
    • 520
    • 6760
  7. How many different ways can three people A, B and C be ordered in a row?

    • 12
    • 6
    • 3
    • 9
  8. How many different pairs can be chosen from the toppings A, B and C?

    • 2
    • 6
    • 9
    • 3
  9. A school lunch has 4 sandwich fillings and 2 drinks. How many sandwich-and-drink combinations are there?

    • 4
    • 6
    • 8
    • 16
  10. How many different outfits can be made from 3 tops, 4 bottoms and 2 pairs of shoes?

    • 24
    • 18
    • 12
    • 9
  11. A PIN has 4 digits from 0 to 9, and digits may repeat. How many PINs are possible?

    • 9000
    • 5040
    • 10000
    • 4000
  12. How many 4-digit PINs can be made from digits 0 to 9 if no digit may be repeated?

    • 4000
    • 5040
    • 720
    • 10000
  13. A traffic light set has 3 lights, each either red or green. How many different patterns are possible?

    • 9
    • 8
    • 3
    • 6
  14. Systematically list the factor pairs of 24. How many pairs are there?

    • 2
    • 4
    • 8
    • 6
  15. A four-digit code uses only the digits 1, 2 and 3, and digits may repeat. How many codes are possible?

    • 27
    • 12
    • 64
    • 81
  16. A bag contains 2 red, 3 blue and 1 green ball. How many ways are there to pick one ball of each colour?

    • 12
    • 3
    • 6
    • 5
  17. In a race with 4 runners, how many different ways can first and second place be filled?

    • 6
    • 8
    • 24
    • 12
  18. How many different 3-letter arrangements can be made from A, B, C and D with no letter repeated?

    • 64
    • 16
    • 12
    • 24
  19. A DVD menu lets you choose 1 of 5 films and then 1 of 2 languages. How many choices are there in total?

    • 5
    • 10
    • 7
    • 12
  20. How many ways can two dice show numbers with a total of 7?

    • 8
    • 6
    • 5
    • 7

All AQA Maths quizzes