: Problems range from short-response (Paper 1/2 style) to extended-response questions that test a student’s ability to apply concepts in unfamiliar settings. Key Subject Features

Unlike many free online compilations, the official Questionbank provides the actual IB marking notes, including:

The 3rd Edition arrived at a time when the IB was sharpening its focus on the "Mathematics HL" core—long before the 2019 split into Analysis and Approaches (AA) and Applications and Interpretation (AI). For students, the 3rd Edition was the definitive "final boss." It categorized questions not just by topic—Algebra, Functions, Trig, Vectors, Statistics, and Calculus—but by difficulty and mark-scheme logic.

If you find the 3rd edition too difficult, you are not ready for HL math. If you master it, a 7 is well within your reach.

Prove by mathematical induction that ( 5^n + 2 ) is divisible by 3 for all integers ( n \ge 1 ).