DP Mathematics HL Questionbank

• Syllabus

10.1

Sub sections and their related questions

Strong induction.

• SPNone.3dm.hl.TZ0.5b: The sequence $\{ {v_n}\}$ , $n \in {\mathbb{Z}^ + }$ , satisfies the recurrence relation...
• 18M.3dm.hl.TZ0.5b: It is known that ${\alpha ^2} = \alpha  + 1$ where $\alpha  = \frac{{1 + \sqrt 5 }}{2}$. For...

Pigeon-hole principle.

• 14M.3dm.hl.TZ0.2b: A list $L$ contains $n+ 1$ distinct positive integers. Prove that at least two members of...
• 14N.3dm.hl.TZ0.2a: Use the pigeon-hole principle to prove that for any simple graph that has two or more vertices...
• 14N.3dm.hl.TZ0.2b: Seventeen people attend a meeting. Each person shakes hands with at least one other person and...
• 18M.3dm.hl.TZ0.5b: It is known that ${\alpha ^2} = \alpha  + 1$ where $\alpha  = \frac{{1 + \sqrt 5 }}{2}$. For...