Question 7 — IGCSE 0580 Oct/Nov 2023 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Algebra · Sequences. Worth 8 marks.
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Question text
7 These are the first four diagrams in a sequence.
The diagrams are made using dots and lines.
Diagram 1 Diagram 2 Diagram 3 Diagram 4
(a) Complete the table.
Diagram 1 2 3 4
Number of small squares 2 4 6
Number of dots 6 9 12
Number of lines 7 12 17
[2]
(b) Complete this statement.
A diagram in this sequence cannot have 51 small squares because ...........................................
..................................................................................................................................................... [1]
(c) An expression for the number of dots in Diagram n is 3n+3.
Which diagram has 249 dots?
................................................. [2]
(d) (i) Find an expression, in terms of n, for the number of lines in Diagram n.
................................................. [2]
(ii) Find the number of lines in Diagram 41.
................................................. [1]
© UCLES 2023 0580/33/O/N/23
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