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Mathematics Worksheet
🧩 Logical Reasoning
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After this worksheet you can
Judge the validity of a syllogism.Use the Pythagorean theorem in distance puzzles.Reason about directions.Reason about family relationships.📚 Quick Recap
Logical reasoning is about drawing valid conclusions from given statements — separating what must be true from what merely might be true.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1All squares are rectangles; all rectangles have 4 sides. So all squares have 4 sides. Valid?
2Some fruits are sweet; some sweet things are candies. So some fruits are candies. Valid?
3A man walks 6 km North then 8 km East. His straight-line distance from the start is:
4If P is Q's mother and Q is R's mother, then P is R's:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5If all A are B and all B are C, then all A are .
6Walking 6 km north then 8 km east gives a straight-line distance of km.
7All squares are rectangles; all rectangles have 4 sides. Conclusion: all squares have 4 sides. Valid?
8Some fruits are sweet; some sweet things are candies. Conclusion: some fruits are candies. Valid?
9A man walks 6 km North then 8 km East. How far is he from the start (straight line)?
🚀 Section C · Challenge ● CHALLENGE 5
10If P is Q's mother and Q is R's mother, what is P to R?
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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1-A 2-B 3-A 4-A | 5 C 6 10 7 = Yes, valid 8 = No, invalid 9 = 10 km (√(62+82)) | 10 = P is R's grandmother