Estimable reader: A dialogue appended to problem 42 highlights an unsettling outcome of a limited (and limiting) approach to mathematics education.


242. Overlapping rectangles


In the diagram, A and B are two overlapping rectangles.  The sum of the areas of A and B is 123 cm².  The fraction of A that overlaps is ⁴⁄9, and the fraction of B that overlaps is ⁶⁄7.  Determine the area of the overlap.


241. Triangular table

Numbers are arranged according to a particular rule, as shown.

⒜  Determine the number at the left end of Row 7.
⒝  Determine in which row the number 100 is located.
⒞* Determine the sum of the numbers in Row 10.

(from Twitter)


240. Triple triangles


In the diagram are three identical 30-60-90 triangles.  Determine the ratio AP : PB.