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2012 Math Kangaroo

Problem 4

Problem 4 · 2012 Math Kangaroo Easy
Geometry & Measurement sum-constraint

A blackboard has a total unfolded length of 6 m. The middle section is 3 m long. How long is the section labelled with a question mark?

Figure for Math Kangaroo 2012 Problem 4
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Answer: C — 1·5 m
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Hint 1 of 2
The whole length is 6 m and the middle piece takes 3 m.
Still stuck? Show hint 2 →
Hint 2 of 2
The two outer pieces share what is left over, and the picture shows them equal.
Show solution
Approach: subtract the middle, split the rest
  1. The total length is 6 m; the middle section is 3 m.
  2. The two end sections together make 6 - 3 = 3 m.
  3. The picture shows the two ends are equal, so each is 3 / 2 = 1.5 m.
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