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2013 Math Kangaroo

Problem 17

Problem 17 · 2013 Math Kangaroo Hard
Spatial & Visual Reasoning grid-counting

Which of the figures below will cover the most dots when laid on top of the square shown on the right?

Figure for Math Kangaroo 2013 Problem 17
Show answer
Answer: C
Show hints
Hint 1 of 3
Look at where the dots actually sit on the square before you pick a piece.
Still stuck? Show hint 2 →
Hint 2 of 3
Imagine laying each piece on top of the square and count how many dots peek out under it.
Still stuck? Show hint 3 →
Hint 3 of 3
The best piece is the one whose shape lines up with the most dots.
Show solution
Approach: overlay each figure on the dot pattern and count
  1. The dots sit in a fixed pattern on the square shown on the right.
  2. Try each candidate piece on top of the square and count the dots it covers.
  3. The piece that lands on the most dots is figure C.
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