2026 SPS P1 Q15

Secondary 4

4 marks

The diagram shows the first three figures in a sequence. Each figure is a large square made up of unit squares, with a shaded square block at its centre.

Figure number, n	1	2	3	4
Number of shaded squares	1	4	9
Number of unshaded squares	8	12	16

Complete the table for Figure 4.[1]
Write down an expression, in terms of \(n\), for the number of unshaded squares in Figure \(n\).[1]
One figure in the sequence has 96 unshaded squares.
Find the number of shaded squares in this figure.[2]

Solution:

Solution locked

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Answer:(a) 16,20. (b) \(4n+4\). (c) 529.

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