Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

The diagrams below are constructed from the same rectangles. A dot marks the point where three lines meet, and a cross marks the point where two lines meet.
(a)[1]

State the order of rotational symmetry for Diagram 1.

(b)[1]

Finish Diagram 4 by adding dots and crosses.

(c)[3]

Fill in the table for Diagram 4 and Diagram 5.

(d(i))[1]

Describe, using words, the rule for extending the sequence of dot numbers.

(d(ii))[2]

Determine the number of dots in Diagram 12.

(e(i))[2]

Write an expression for the number of crosses in Diagram $n$.

(e(ii))[2]

Find $n$.

Worked solution & mark scheme

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