A24 recognise and use sequences of triangular, square and cube numbers, simple arithmetic... Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. Triangular numbers start 1, 3, 6, 10. The next triangular number is

   • 16
   • 15
   • 13
   • 12

2. The 5th square number is

   • 16
   • 25
   • 20
   • 10

3. Cube numbers start 1, 8, 27. The next cube number is

   • 81
   • 36
   • 64
   • 32

4. In a Fibonacci-type sequence, how is each term generated?

   • Sum of two
   • Square of previous
   • Difference of two
   • Product of two

5. A geometric progression has a constant

   • common ratio
   • second difference
   • sum of terms
   • common difference

6. What constant feature defines an arithmetic progression?

   • common ratio
   • geometric factor
   • common difference
   • quadratic coefficient

7. What is the formula for the nth term of square numbers?

   • n plus one
   • n cubed
   • two n
   • n squared

8. Which of these is a Fibonacci-type sequence?

   • 1, 1, 2, 3, 5
   • 3, 6, 12, 24
   • 2, 4, 6, 8
   • 1, 4, 9, 16

9. The 7th triangular number, using n(n + 1) / 2, is

   • 49
   • 28
   • 21
   • 35

10. The 6th cube number is

    • 343
    • 36
    • 216
    • 125

11. A geometric sequence is 5, 10, 20, 40. Its common ratio is

    • 0.5
    • 10
    • 5
    • 2

12. A Fibonacci-type sequence has terms 3, 5, 8, 13. The next term is

    • 21
    • 18
    • 19
    • 24

13. Which number is both a square number and a triangular number?

    • 25
    • 30
    • 36
    • 20

14. The sequence 2, 6, 12, 20, ... has nth term n(n + 1). The next term is

    • 30
    • 28
    • 32
    • 26

15. An arithmetic progression starts 3, 8, 13. The 10th term is

    • 48
    • 53
    • 43
    • 50

16. A geometric sequence is 81, 27, 9. The next term is

    • 2
    • 1
    • 3
    • 6

17. The total of the first four cube numbers is

    • 100
    • 120
    • 36
    • 64

18. The first differences of a quadratic sequence are 4, 6, 8, 10. The second difference is

    • 1
    • 6
    • 2
    • 4

19. A geometric progression starts 3, -6, 12, ... The fourth term is

    • 24
    • -24
    • -18
    • 18

20. A geometric sequence has first term 1 and common ratio root 2. What is its third term?

    • 2
    • 2 root 2
    • root 2
    • 4

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