P6 enumerate sets and combinations of sets systematically, using tables, grids, Venn... Quiz: Pearson Edexcel Maths, Unit 5

The 20 questions

1. Which representation systematically shows all outcomes of rolling two dice?

   • Two-way table
   • Bar chart
   • Pie chart
   • Frequency polygon

2. How many outcomes are there when three coins are tossed?

   • 8
   • 9
   • 6
   • 3

3. How many outcomes from two dice have a total of 7?

   • 6
   • 12
   • 7
   • 5

4. A person has 3 shirts, 4 pairs of trousers and 2 pairs of shoes. How many different outfits are possible?

   • 14
   • 9
   • 12
   • 24

5. How many ways are there to choose one letter from {A, B, C} and one number from {1, 2}?

   • 6
   • 5
   • 9
   • 3

6. Set A has 15 elements, set B has 12 and A and B share 5. How many elements are in A ∪ B?

   • 22
   • 27
   • 10
   • 17

7. A group of 30 students has 18 who play football, 14 who play hockey and 6 who play both. How many play neither?

   • 6
   • 24
   • 10
   • 4

8. A coin is tossed and then a die is rolled. How many outcomes are in the tree diagram?

   • 24
   • 12
   • 8
   • 6

9. A grid is made from two spinners, each labelled 1 to 4. How many cells does the grid contain?

   • 12
   • 16
   • 8
   • 4

10. How many two-digit numbers can be made from the digits 1, 2 and 3 without repetition?

    • 9
    • 3
    • 6
    • 8

11. In a probability tree diagram, what do the branches leaving one point add up to?

    • 0
    • 100
    • 0.5
    • 1

12. How many three-letter arrangements can be made from A and B if letters may repeat?

    • 6
    • 9
    • 8
    • 5

13. In a Venn diagram, set A has 15 elements, 5 of which are also in B. How many elements are in A but not B?

    • 5
    • 20
    • 10
    • 15

14. A coin is tossed twice and a die is rolled once. How many outcomes are there in total?

    • 18
    • 24
    • 12
    • 8

15. A code uses three digits from 0 to 9, and the first digit must be odd. How many codes are possible?

    • 900
    • 500
    • 450
    • 1000

16. 20 students take French, 15 take German and 8 take neither, out of 40 students. How many take both?

    • 5
    • 3
    • 12
    • 7

17. A tree diagram has 3 branches at the first stage, each followed by 2 branches. How many end points are there?

    • 5
    • 6
    • 9
    • 8

18. How many cells of a two-dice sample space grid have a total of 10?

    • 3
    • 2
    • 4
    • 6

19. A captain is chosen from 4 people, then a vice-captain from the remaining 3. How many ordered pairs are possible?

    • 16
    • 6
    • 7
    • 12

20. How many different 4-digit PIN codes can be made from digits 0 to 9 with no repeated digit?

    • 10000
    • 5040
    • 3024
    • 6561

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