Higher June 2024 Paper 3 Q1

AQACurrent spec2 marksSequences

1 Here are the first three Patterns in a sequence made up of small squares.

Pattern 1: one central square with a square at each corner. Pattern 2: a 2 by 2 block with a square at each corner. Pattern 3: a 3 by 3 block with a square at each corner
(a) On the grid, draw Pattern 4 [1 mark]
Empty square grid of 11 by 10 dashed squares
(b) The expression for the number of small squares in Pattern \(n\) is \(\quad n^2 + 4\)

Work out the least value of \(n\) for which the number of small squares is greater than 500 [1 mark]

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