Worksheets › Class 11 › Binomial Theorem
Class 11 Binomial Theorem worksheet
CBSE Mathematics. Expansions, general and middle terms, coefficients, applications. Every sheet has 20 questions in three sections and an answer key, and the numbers change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
How many terms are there in the expansion of (x + y)⁵?
- 7
- 5
- 10
- 6
Answer
(d) 6
- 2.
The coefficient of x⁵ in the expansion of (x + 4)⁸ is:
- 56
- 57,344
- 3,584
- −3,584
Answer
(c) 3,584
term with x⁵: ⁸C₃ × (4)³
- 3.
The coefficient of the middle term of (x − 1)⁴ is:
- −6
- 7
- −4
- 6
Answer
(d) 6
term 3: ⁴C₂ × (−1)²
Section B · short answer
- 4.
Expand (3x + 2)⁴.
Answer
81x⁴ + 216x³ + 216x² + 96x + 16
coefficients ⁴C₀, ⁴C₁, ⁴C₂, ⁴C₃, ⁴C₄
- 5.
Find the coefficient of x in (2x + 4)⁶.
Answer
12,288
⁶C₅ × (2)¹ × (4)⁵
Section C · long answer
- 6.
Expand (3x + 3)⁵ fully. What is the coefficient of x⁴, and what is the sum of all the coefficients?
Answer
243x⁵ + 1215x⁴ + 2430x³ + 2430x² + 1215x + 243; coefficient of x⁴: 1,215; sum 7,776
Tᵣ₊₁ = ⁿCᵣ (px)ⁿ⁻ʳ qʳ
Fresh sheets for your child
In the app, every Binomial Theorem sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.