Testing and trying with

means “to test”, “to try”, or “to examine”. It refers to the act of actually trying out something new or a new set of conditions to verify the results, whether they are good or bad, or whether they are true or false.

Etymology

This kanji is a phono-semantic compound comprised of 言 (speech) as the semantic component and 式 (pattern) as the phonetic component, giving the on-reading シ.

Contests

(Match)

試合(しあい) means a match or contest in sports, martial arts, or games.

It combines 試 (test) with 合 (meet) to show a competitive meeting.

Manga panel from 名探偵コナン showing example of A radio or something with 〜か何か.
名探偵コナン » Volume 13 » Page 30

A news broadcast interrupts the baseball game Tetsuhiro is watching over at his neighbor’s beach house.

哲浩(てつひろ):
「あのー… ラジオか(なに)かありませんか?」
“Um... Do you have a radio or something?”
綾子(あやこ):
「あ、ありますけど…」
“Ah, there is...”
コナン:
「でもこの試合(しあい)ラジオじゃやってないみたいだよ…」
“But it seems this game isn't being broadcast on the radio.”
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Exams

(Retest)

追試(ついし), short for 追試験(ついしけん), is a make-up exam given to students who missed the original.

It combines 追 (afterward) with 試 (test) to show a later test.

Manga panel from ひとりぼっちの○○生活 showing example of Never mind that, what about the exam with いいから.
ひとりぼっちの○○生活 » Volume 2 » Page 90

After failing an exam, Nako has to take a make-up exam. Bocchi provides her notes to help Nako learn the material better. After the test, Nako finds Bocchi and their friends waiting for her.

ぼっち:
「なこちゃん!」
“Nako-chan!”
なこ:
「なんだ(みんな) ()っててくれたのか」
“Hey everyone. You've been waiting for me?”
アル:
「いいから追試(ついし)は?」
“Never mind that, how'd the make-up exam go?”
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Test Runs

(Food tasting)

試食(ししょく) means tasting a food to check it or offering a sample to customers.

It combines 試 (test) with (eat) to show try out eating something.

Manga panel from 三ツ星カラーズ showing example of Wanted to you taste-test with 〜てほしかった.
三ツ星カラーズ » Volume 6 » Page 42

Momoko notices the trio Colors pestering a television cameraman. She intervenes to help him, telling the girls that she is heading to her family’s bakery to have taste-testing of her new type of rice ball.

ももか:
「カラーズちゃんにも試食(ししょく)してほしかったんだけどなー」
“I wanted you all to do some taste-testing as well, but...”
「テレビがあるなら仕方(しかた)ないかぁ」
“If it's television, it can't be helped, huh?”
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