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Mathematics Worksheet
🧠Analytical Thinking
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After this worksheet you can
Judge whether a statement is sufficient to answer a question.Solve problems by working backwards.Check assumptions before concluding.Use elimination to narrow options.📚 Quick Recap
Analytical thinking is about breaking a complex problem into manageable pieces and figuring out exactly what information you need — and whether you already have enough of it.
🧠 Section A · Concept Check ● BEGINNER 4 × 1 = 4
1Question: What is z? Statement: z − 7 = 3. Is it sufficient?
2Question: Is m positive? Statement: m2 = 25. Is it sufficient?
3A number is doubled, then 6 is added, giving 20. The original number is:
4A number has 10 subtracted, then is tripled, giving 15. The original is:
🧮 Section B · Problem Solving ● INTERMEDIATE 2 + 3×3 = 11
5z − 7 = 3 gives z = .
6To undo doubling, you .
7Question: What is z? Statement: z − 7 = 3. Sufficient?
8Question: Is m positive? Statement: m2 = 25. Sufficient?
9A number is doubled, then 6 is added, giving 20. Work backwards to find the original number.
🚀 Section C · Challenge ● CHALLENGE 5
10A number has 10 subtracted, then is tripled, giving 15. Work backwards to find the original number.
💭 Reflection — the most useful thing I learned:
A ___/4 B ___/11 C ___/5 Total ___/20
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✂ answer key — fold or cut before handing out
1-A 2-B 3-A 4-A | 5 10 6 halve 7 = Yes, z = 10 8 = No, m could be 5 or −5 9 = (20 − 6)/2 = 7 | 10 = 15/3 + 10 = 15