Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

(a(i))[1]

State the order of rotational symmetry for the diagram.

(a(ii))[2]

On the diagram, draw every line of symmetry.

(b(i))[1]

On the grid, draw Diagram 4.

(b(ii)(a))[1]

Complete this statement. Diagram n has ____________________ grey columns.

(b(ii)(b))[2]

Find an expression, in terms of $n$, for the total number of columns in Diagram $n$.

(b(ii)(c))[1]

Find an expression, in terms of $n$, for the fraction of columns that are grey in Diagram $n$.

(b(iii)(a))[3]

Fill in the table.

(b(iii)(b))[2]

Write an expression, in terms of $n$, for the number of grey squares in Diagram $n$.

(b(iii)(c))[2]

Work out the number of white squares in Diagram 30.

(b(iii)(d))[2]

Work out the value of $k$.

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