Question 15. Which two tiles should be used to complete the puzzle? Let's start off by drawing the puzzle as if it were completed. Next, we can draw in what we are missing, marked in red like so. We can count up the number of octagons and squares that are used in this missing shape. We have 13 octagons and 15 squares. Next, let's write out a list of how many octagons and squares each of the four shapes has. Now we can start crossing off potential answers. First, we can cross off A, since 1 and 2 would have 14 octagons and 16 squares. Next, we can cross out 1 and 4, since those would have 13 octagons but 17 squares. Finally, we can cross out E, since this would have 12 octagons and 16 squares. This leaves us with options C and D. Both of these use shape number 2, so we can place that in, marked in blue like so. Once we have this, we see that our correct answer will be D, since shape 4 will fit into the red spot.

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octagons

squares

solution