Problem number 11. In the following diagram, each shape represents a different value or number. What is the value of star? 2, 3, 4, 5, or 6? Here is a larger copy of the diagram, one that we can work with. Let's look at the first column. We see that smiley face plus smiley face equals 10. Since both the smiley faces need to be the same number, we know that 5 plus 5 is 10, so smiley face is equal to 5. Let's replace the smileys in the diagram with numbers. Now, let's look at the last column. Two hearts make 4, so one heart represents 2, because 2 plus 2 is 4. So let's replace the hearts with a number. Now all we have left is the star. We can either look at the column it's in or at the row it's in. So let's stick with looking at the column. We have 2 plus star is equal to 5, which means that star is 3, because 2 plus 3 is 5. Let's write it in. Now we can even check our work. Looking at the row that 3 is in, we can check 5 plus 3 plus 2 is 10. So we know we did our problem right, and the answer is B, 3.

star value

numerical diagram

step-by-step solution

shape values

mathematical puzzle