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2021 IIMC keystage2-EMIC individual Question 9

xIMC · 2021 IIMC keystage2-EMIC individual

Question 9

The puzzle below is composed of circles and arrows. A dashed arrow indicates addition, while a solid arrow indicates multiplication. For example, the solution to the diagram on the left is a number whose sum is $5+9$, which is $14$. The solution to the diagram on the right is a number that, when multiplied by $6$, gives us $12$, which by working backwards, leads us to a solution of $2$. Note that there could be more than $2$ arrows pointing to a circle, in which case there is one operation (addition or multiplication) with more than $2$ numbers involved.

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In the following puzzle below, if all the circles must contain positive integers, what number must be placed in the circle with the question mark?

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