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IKMC 2009 - Grades 5-6 Question 22

IKMC · IKMC 2009 - Grades 5-6

Question 22

The picture shows a solid figure with 6 triangular faces. At each vertex there is a number. For each face we consider the sum of the 3 numbers at the vertices of that face. If all the sums are the same and two of the 5 numbers are 1 and 5 as shown, what is the sum of all the 5 numbers?

Question illustration
  1. 9
  2. 12
  3. 17
  4. 18
  5. 24