Each face of the pictured cube consists of 16 small squares. Three of the faces are shaded as shown. The shading on the other three faces is such that on opposite faces the reverse squares are shaded. For example, if one face has only the upper left corner shaded, its opposite face will have the other 15 squares shaded (every square but the one in the upper left corner). What is the total number of shaded squares on all 6 faces of the cube?

The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.