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SEAMO 2027 - Paper F - SET 03 - Self-study Question 1

SEAMO · SEAMO 2027 - Paper F - SET 03 - Self-study

Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

Given triangle $ABC$, squares $ABDE$ and $ACFG$ are drawn outwards from $AB$ and $AC$, respectively. Find $BG:CE$.

Original source figure, with all mathematical labels retained.

Question illustration
  1. $5:6$
  2. $8:9$
  3. $1:1$
  4. $5:4$
  5. $6:5$