IMO Practice Test — 2D Shapes & Symmetry
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
hard
A regular polygon with 8 equal sides has how many lines of symmetry?
8
4
2
6
Explanation: A regular octagon has 8 lines of symmetry.
Question 2 of 6
medium
How many corners do a triangle and a pentagon have altogether?
8
7
9
10
Explanation: 3 + 5 = 8 corners.
Question 3 of 6
hard
A regular polygon's number of lines of symmetry equals its…
number of sides
number of diagonals
area
perimeter
Explanation: A regular polygon has as many symmetry lines as sides.
Question 4 of 6
hard
How many triangles can a hexagon be split into by drawing lines from one corner?
4
6
3
5
Explanation: A hexagon splits into 4 triangles from one corner.
Question 5 of 6
hard
Two triangles are joined to form a square. How many sides does the square have?
4
6
3
8
Explanation: The outer shape, a square, has 4 sides.
Question 6 of 6
medium
A polygon with 7 sides is a…
heptagon
hexagon
octagon
pentagon
Explanation: A 7-sided polygon is a heptagon.