Practice IB Mathematics Analysis and Approaches (AA) Topic SL 1.6—simple Proof with authentic exam-style questions for both SL and HL students. This question bank focuses on the exact syllabus content for SL 1.6—simple Proof and mirrors Paper 1, 2, 3 style where relevant.
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Prove that for any real number , .
Given that are real numbers.
Prove that .
Prove that is a multiple of for all .
Prove that is a multiple of for all .
Consider any three consecutive even integers, , and .
Prove that the sum of these three integers is always divisible by .
Prove that the sum of the squares of these three integers is never divisible by .