Puzzles

 View Solution    View Solvers                    Print/Download Puzzle [pdf-embedder url=”http://sites.monroecc.edu/mathpuzzler/files/2017/10/Puzzler_17_11.pdf”]  

View Solution    View Solvers                    Print/Download Puzzle [pdf-embedder url=”http://sites.monroecc.edu/mathpuzzler/files/2017/09/Puzzler_17_10.pdf”]  

View Solution     View Solvers Place the letters A, B, and C in the 4×4 grid below so that each of the following “words” can be found in a row (read left to right) or column (read top to bottom).  ACAA     BACA     BACC     BBAB BBAC     CBBA     CBCA     CBBC  

When frosting a 9-inch by 12-inch rectangular cake using red, white, and blue frosting, Emily accidentally applied the frosting incorrectly.  The frosting was supposed to be applied in 3-inch by 12-inch strips as shown in Figure 2 below. However, she applied it in 4-inch by 9-inch strips as shown in Figure 1.  Being the clever […]

Given a right triangle with sides of length a, b, and c, first construct the circle whose diameter is the hypotenuse of length c.  It is known from Euclidean Geometry that all three vertices of this triangle will lie on the circle.  Next form the (outward facing) semicircles whose diameters are the legs of the triangle.  The result is shown in […]

Place the numbers 1 – 12 in the circles below, so that the sum of the four numbers along each of the six straight lines is the same. View Solution

The interior of a rectangular tank has a square base with sides of length 10 feet.  Two-hundred cubic feet of water is poured into the tank resulting in a water-level of 2 feet.  A solid rectangular block, dense enough to sink to the bottom of the tank, is placed in the water three times.  Each […]

Below are two arrangements of six numbered disks.  Your goal is to convert the triangular arrangement to the linear arrangement in exactly eight moves.  Each move consists of moving a disk to a position where it is adjacent to two other disks.  As you can see, initially the 1, 4, and 6 are each adjacent to two […]

You are equipped with a single 1, 3, 4, and 6 along with the ability to combine them using only addition, subtraction, multiplication, and division. Your goal is to create each of the integers from 16 to 25. You may use any number of parentheses to control the order of operations and in each case, […]

Consider the rectangle below with dimensions 11 units by 12 units.  The challenge is to partition this rectangle (using only the gridlines for edges) into 5 non-square rectangles so that no two rectangles have a side length in common.  The example on the right shows a failed attempt since there are two rectangles that have […]