Problem of the Week #24

How many upward-pointing triangles (of any size) are in the diagram at the right?

Problem of the week #22

The perimeter of a rectangular plot of land is forty-two meters. What are the dimensions of the plot given the following conditions?

The width is one-fifth of the length.

PROBLEM OF THE WEEK #20

What is the value of the complex fraction
written as a simple fraction in lowest terms.

PROBLEM OF THE WEEK #18

The last names of Helen, Irving, and Jacqueline are Abrams, Barrow, and Clancy, but not necessarily in that order. Clancy is Jacqueline’s uncle, Helen’s last name is not Barrow. What are each person’s first and last names?

PROBLEM OF THE WEEK #16

There are 400 students enrolled at Castletown School. Of these students, 85 study French and 50 study Spanish. If 120 students study either French or Spanish, how many students study both French and Spanish?