WHOLE CHARACTER
题tí
a topic; a subject; a title; an exam question; a problem; to write on; to inscribe
题 is about topics and questions: 题目, 问题, 主题, 难题 — and to inscribe.
ZDIC: 形声,从页、是声, with the structure listed as 半包围 (half-enclosure); visually the parts read mostly side by side.
LEFT: THE OLD SOUND SIDE 是 (SHÌ)
是shì
to be; yes; this
The old sound side named by ZDIC for 提 and 题; neither tí nor dī shares a modern sound part with shì.
In 题: left: the old sound side 是 (shì) A historical sound side, not a modern hint: tí shares no modern sound part with shì — the initials (t-/sh-), the differently valued finals (both written -i) and the tones (2/4) all differ.
RIGHT: THE PAGE/HEAD SIDE, NAMED BY ZDIC
页yè
page; the head radical (from 頁)
A standalone character meaning page; as a right-side piece in many characters it is the head side. Each page states its own role and limits.
In 题: right: the page/head side, named by ZDIC Shown with its documented or clearly limited role.