Siti is making a tiling pattern with hexagons and triangles at the community centre art activity. Her pattern goes: Triangle, Triangle, Hexagon, Triangle, Triangle, Hexagon, Triangle, Triangle, Hexagon, ... What is the 10th shape in her pattern?
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Worked Solution
Step 1: Identify the repeating unit.
The pattern is: Triangle, Triangle, Hexagon — this group of 3 repeats.
Step 2: Find which group position 10 falls in.
10 / 3 = 3 remainder 1
So position 10 is at remainder 1, which is the 1st shape in the repeating unit.
Step 3: Name the shape at position 1 of the unit.
Position 1 = Triangle
Answer: The 10th shape is a Triangle.
Correct answer: Triangle
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