සා/පෙළ ගණිතය 2024 ප්‍රශ්න පත්‍රය

Extra workers needed to finish a job sooner

පිළිතුර: 10 more men

💡 ප්‍රශ්නයේ අදහස: කාර්යය මිනිස් දිනවලින් (එක් අයෙක් එක් දිනක් වැඩ කිරීම) මනින්න. පසුව එය අඩු දින ගණනකට බෙදන්න.

1. 1මුළු කාර්යය: 6 × 8 = මිනිස් දින 48.
2. 2දින 3 කින්: 48 ÷ 3 = මිනිසුන් 16.
3. 36 දෙනෙක් දැනටමත් සිටින නිසා තවත් 16 − 6 = 10.

✅ 16 × 3 = මිනිස් දින 48, පෙර ප්‍රමාණයම.

Angle in a triangle using parallel lines and crossing lines

පිළිතුර: BAE = 30°

💡 ප්‍රශ්නයේ අදහස: සමාන්තර රේඛා භාවිතයෙන් 40° B වෙත ගෙන ගොස්, ABE ත්‍රිකෝණයේ බාහිර කෝණය යොදන්න.

1. 1AB සහ CD සමාන්තර නිසා B සහ C හි Z හැඩ කෝණ සමානයි: ABE = 40°.
2. 2E හි 70° කෝණය ABE ත්‍රිකෝණයට පිටතින් ඇත.
3. 3බාහිර කෝණය = දුර ඇති අභ්‍යන්තර කෝණ දෙකේ එකතුව: 70° = BAE + 40°.
4. 4එවිට: BAE = 30°.

✅ ABE ත්‍රිකෝණය: 30° + 40° + 110° = 180°.

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