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VTMO 2021 — Grade 6 — cup Question 2

VTMO · VTMO 2021 — Grade 6 — cup

Question 2

$a$)Positive integers $a , b$ satisfy $56 a = 65 b$. Prove $a + b$ composite. $b ) A = 14 \,\mathrm{cm}$ square contains the pictured two quarter-circle arcs. Find the positive difference of areas $\left(I\right) , \left(II\right)$, using $\pi = \frac{22}{7}$.

Question illustration