Mathematics 0580 · IGCSE · Sequences

Sequences — practice question

Every diagram is formed using tiles shaped as equilateral triangles and rhombuses. Each tile has side length 1 unit.
(a)[6]

For this sequence of diagrams, Complete the table below.

(b(i))[2]

In Diagram $n$, the number of 1 unit lengths is $n^2 + 4n + p$. Find the value of $p$.

(b(ii))[1]

In Diagram 10, Calculate the number of 1 unit lengths.

(c)[5]

For Diagram $n$, the total number of tiles is $an^2 + bn + 1$. Find the value of $a$ and the value of $b$.

(d(i))[2]

Calculate the total number of glass tiles on a single triangular face of this pyramid.

(d(ii))[1]

Calculate the total number of glass tiles needed to build this pyramid.

Worked solution & mark scheme

This 17-mark question has a full step-by-step worked solution and mark scheme. One marking point: Accurate table entries

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