🦘 Math Kangaroo Grade All Felix 1-2 Ecolier 3-4 Benjamin 5-6 Kadett 7-8 Junior 9-10 Student 11-12 ⇄ switch contest
2023 Math Kangaroo

Problem 5

Problem 5 · 2023 Math Kangaroo Easy
Logic & Word Problems careful-counting

Sara says: „My boat has more than one circle. It also has 2 triangles more than squares.“ Which boat belongs to Sara?

Figure for Math Kangaroo 2023 Problem 5
Show answer
Answer: E
Show hints
Hint 1 of 3
There are two clues — use the easy one first to throw out boats.
Still stuck? Show hint 2 →
Hint 2 of 3
Clue 1: keep only boats with 2 or more circles; cross out boats with one or zero.
Still stuck? Show hint 3 →
Hint 3 of 3
Clue 2: on the boats left, count triangles and squares and find where triangles win by exactly 2.
Show solution
Approach: use clue 1 to narrow down, then check clue 2
  1. First clue: Sara's boat has more than one circle, so cross out every boat with only one circle (or none).
  2. Second clue: for each boat still left, count the triangles and the squares.
  3. The boat where triangles are exactly 2 more than squares is boat E.
Mark: · log in to save