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Grade 12 · Binomial Theorem

Grade 12 Binomial Theorem Worksheets

Printable Grade 12 binomial theorem worksheets, sized to fit one page. Download a free sample below, or pick beginner, intermediate, or advanced and generate a fresh pack with answer keys in seconds. No AI, no wrong answers.

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Grade 12 examples by level

  • BeginnerIn the expansion of (x + y)⁵, what is the coefficient of the term with x³y²?Answer10
  • IntermediateIn the expansion of (x + y)⁷, what is the coefficient of the term with x¹y⁶?Answer7
  • AdvancedIn the expansion of (x + y)⁹, what is the coefficient of the term with x⁴y⁵?Answer126

Real problems from the generator: always mathematically correct, and every pack is different.

Download a free Grade 12 binomial theorem worksheet

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Why Grade 12 binomial theorem practice matters

The same counting principle that answers a 'how many ways' question, choosing k items from n, also predicts exact coefficients in an algebraic expansion, which is what makes the Binomial Theorem feel like algebra and combinatorics quietly agreeing with each other.

Grade 12 is the only grade Mathter offers binomial theorem worksheets for.

Want the full method, tips, and common mistakes? Read the Binomial Theorem Worksheets guide.

Frequently asked questions

What's on a Grade 12 binomial theorem worksheet?
Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so a teacher, tutor, or parent can match the learner's level.
What grade is the Binomial Theorem taught in?
Typically Grade 12, in a data-management course, alongside combinations and permutations.
Why does C(n,k) give the coefficient?
Each term in the expansion of (x+y)ⁿ comes from choosing x or y from each of the n factors, C(n,k) counts how many ways to choose exactly k of the y's.

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Free to start · answer keys included · free accounts get 14 days of Standard · no card required.