IMO Practice Test — 2D Shapes & Symmetry
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
hard
Total number of sides on one triangle, one square and one pentagon is…
12
11
13
10
Explanation: 3 + 4 + 5 = 12 sides.
Question 2 of 6
medium
Which letter has NO line of symmetry?
R
H
X
O
Explanation: The letter R cannot be folded into matching halves.
Question 3 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 4 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 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
hard
A shape has 10 sides. It is called a…
decagon
octagon
nonagon
hexagon
Explanation: A 10-sided polygon is a decagon.