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SASMO 2027 · Grades 4-5 · SET 007 · Self-study Question 1

SASMO · SASMO 2027 · Grades 4-5 · SET 007 · Self-study

Question 1

Editorial self-study SET for 2027; not an official SASMO 2027 examination. Known source years remain in individual attributions. Time: 90 minutes. Platform scoring starts at 0: Q1–15 are worth 2 points each; Q16–25 are worth 4 points each; wrong and blank answers score 0; maximum 70. Official SASMO scoring instead starts at 15, deducts 1 for an incorrect Section A answer and has a maximum of 85. Verified means editorially checked; assumptions, source errors and mathematical uncertainty are disclosed where relevant.

A jewel was stolen at an exhibition. Four suspects say:

David: “Ellen stole it.”

Ellen: “Fred did.”

Fred: “I have an alibi.”

George: “Do not believe what Ellen said.”

Exactly one suspect tells the truth. Who is the thief? Enter the name.

Question illustration

Puzzle interpretation: exactly one of the four stole the jewel. Fred’s alibi statement means “I did not steal it”, and George denies Ellen’s statement about this theft.