3-round logic challenge


✓ Question 8: 9

Round 2 of 3 · Question 4 of 553% complete

How many points will the next one have?

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Why, in question 8: How many sides will the next one have?

The answer is 9. The shapes have 3, 5 and 7 sides: the number of sides increases from 2 to 2, so the next one will have 9.

Count sides

Behind the shapes in this question there was a sequence of simple numbers: 3, 5, 7. Turning the drawing into a number is one of the fastest ways to solve visual challenges.

Polygons are named according to their number of sides: triangle (3), quadrilateral (4), pentagon (5), hexagon (6), heptagon (7), octagon (8) and nonagon (9).

The more sides a regular polygon has, the more it looks like a circle. From seven or eight sides on, counting by eye becomes difficult, and it helps to mark one corner as the starting point.

In real life, the octagon is the shape of the stop sign in many countries, and the hexagon appears in honeycomb cells made by bees.

There is also an interesting calculation with angles: the sum of the interior angles of a polygon grows by 180 degrees for each additional side. The triangle sums to 180 degrees, the quadrilateral to 360, and the pentagon to 540.

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