Where can I learn Functions theory?

Our free Functions guide on the GMAT Sprint Quant hub explains the core concepts and formulas, with worked examples you can practice against.

Functions Problem Solving GMAT Questions

Q: How do I improve at Functions questions?

Start by reviewing the Functions theory guide, then practice in this difficulty band and track which concepts you miss. Focus on accuracy first, then work on pacing so you finish each question in about two minutes.

Functions Problem Solving GMAT practice questions. Every question below links to its own page with the full solution, community comments, and discussion.

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Practice Functions Problem Solving questions

Functions Problem Solving questions measure your ability to evaluate and compose functions, including unusual defined operations.. Here you'll find 72 free questions in this band — every one shows the correct answer, with full step-by-step solutions available once you sign in for free. Practice in this difficulty range to build speed and accuracy, then move up a tier as your scores improve.

Question Type

All types(4)Problem Solving(1457)Critical Reasoning(1024)Data Sufficiency(112)Reading Comprehension

Latest questions

72 questions

PS · Problem Solving

505-555

Functions

For all numbers x and y, the operation ? is defined by

x?y=(x+y)(x-y)+(y-x)(y+x)+xy

.
What is the value of [m]\sqrt{12}? \sqrt{...

Frequently asked questions

Are these Functions Problem Solving questions free?▾

Yes. All 72 questions in this collection are free to practice. Each question shows the correct answer, and signing up for a free account unlocks the complete step-by-step explanations.

What does this difficulty mean on the GMAT?▾

Difficulty bands on GMAT Sprint range from sub-505 up to 705-805 and track the GMAT Focus scoring scale.

How do I improve at Functions questions?

Latest Community Comments

recent discussion across these questions

Ngan NguyenMay 27@Ngan7404

thanks

onProblem Solving · Functions—In a defined operation *, for any numbers s and t, the expression is g...

Thomas VoglerApr 7, 2025

taking my GMAT next month, this helps!

onProblem Solving · Functions—For any positive integers a and b, the notation a Θ b denotes the rema...