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2021 Math Kangaroo

Problem 15

Problem 15 · 2021 Math Kangaroo Hard
Spatial & Visual Reasoning path-tracing

The picture shows the five houses of five friends and their school. The school is the largest building in the picture. To go to school, Doris and Ali walk past Leo's house. Eva walks past Chloe's house. Which is Eva's house?

Figure for Math Kangaroo 2021 Problem 15
Show answer
Answer: B
Show hints
Hint 1 of 3
Find the school first, then trace the road each child walks to get there.
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Hint 2 of 3
The clues about Leo's house help you figure out who lives where.
Still stuck? Show hint 3 →
Hint 3 of 3
Eva's road is the one that goes right past Chloe's house.
Show solution
Approach: trace the roads to school
  1. Find the big school, then look at which houses you walk past on the way from each house.
  2. The clue that Doris and Ali pass Leo's house tells you where Leo lives.
  3. Eva's road is the one passing Chloe's house, and tracing it back, Eva's house is option B.
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