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2024 Math Kangaroo

Problem 3

Problem 3 · 2024 Math Kangaroo Easy
Spatial & Visual Reasoning careful-counting

There are 8 different faces in the picture. Which face only appears once?

Figure for Math Kangaroo 2024 Problem 3
Show answer
Answer: E
Show hints
Hint 1 of 3
Look at what makes each face special: a hat, glasses, curly hair, or just dots for eyes.
Still stuck? Show hint 2 →
Hint 2 of 3
Pick one face at a time and hunt for its exact twin somewhere else in the picture.
Still stuck? Show hint 3 →
Hint 3 of 3
The answer is the face that has no twin — it shows up only one time.
Show solution
Approach: find the face that has no matching twin
  1. Each face is built from a few features: a hat, glasses, curly hair, or a plain face with dot eyes.
  2. Go through the faces and find the matching pairs — almost every face has a twin that looks exactly the same.
  3. One face has no twin at all: it appears just once, and that is the face in option E.
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