Problem 15 · 2018 Math Kangaroo
Hard
Spatial & Visual Reasoning
net-foldingdice-faces

Show answer
Answer: E
Show hints
Hint 1 of 2
Fold each net mentally and check the three pairs of opposite faces.
Still stuck? Show hint 2 →
Hint 2 of 2
A valid die needs every opposite pair to be two different colours; find the net where some opposite pair matches.
Show solution
Approach: fold each net and test opposite faces
- When folded, each net's faces pair up into three opposite pairs.
- The rule says opposite faces must be different colours.
- Four of the nets fold to dice obeying this; in net E a pair of opposite faces ends up the same colour.
- So net E cannot be such a die.
Mark:
· log in to save