While digging into some dusty corners of my binder, I found a photocopied sheet of eight 1985 (manuscript) problems that I remember having received from my high school math teacher there. a long time ago. Four of the problems are labeled "Set U" and the other four are labeled "Set V". I reproduce "Set U" below, but I do not ask for solutions to problems; My question is rather

Where can I find the other problems in this series?

Presumably, the series started with "Set A"? Some additional information: At the bottom of the U series, it is advisable to send the solutions to DM Hallowes, 17 St. Albans Road, Halifax before June 1, and at the bottom of Series V, to FJ Budden, 15 Westfield. Avenue, Gosforth, Newcastle upon Tyne before October 1st.

Here are the problems of Set U.

U1. Given $ cos alpha + cos beta = $ 1. Prove it

cos { cos beta cos ( alpha / 2) on cos ( beta- alpha / 2)} +

{ cos alpha cos ( beta / 2) over cos ( alpha – beta / 2)} = 1. $$

U2. ABCD is a general quadrilateral with squares outlined outward on all four sides. These squares have centers W, X, Y, Z which form a second quadrilateral. Each quadrilateral has two diagonals. Prove that the circles of the four diagonals form a square.

U3. Find all triangles whose sides and surface are integral, so that the area is numerically equal to the perimeter.

U4. Two rectangles are described as *incomparable* if neither one nor the other can be placed inside one of the other when they are aligned so that the corresponding sides are parallel . Prove or refute the following statement: "No rectangular region can be associated with incomparable rectangles."