Past Competition Exam with Solutions

This resource is an English translation of a past PRIML competition solution set. It includes problems and worked solutions across all three academic levels. Original diagrams are referenced where needed.

Elementary Level

Problems 1–10: square counting; custom operations; consecutive odd numbers; rectangle area; woodpecker timing; angle geometry; traffic-light cycles; logic grid; color grid; digit-product sums.

Intermediate Level

Problems 1–10: calculator operations; divisibility selection; coin combinations; pyramid counting; year/age algebra; multi-perfect numbers; product pyramid; rectangle area; visibility geometry; digit-difference construction.

Senior High Level

Problems 1–10: powers; distinct-digit counting; binary multiples of 3; algebraic identities; concave-quadrilateral geometry; divisibility; reversed digits; recurrence; subset counting; triangle similarity.

Answer key highlights: Elementary #1 = 38; Intermediate #1 = 124; Senior High #1 = 19,683. The complete translated solution set contains 32 pages.