| Exam Board | OCR MEI |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Binomial Theorem (positive integer n) |
| Type | Standard binomial expansion coefficient |
| Difficulty | Moderate -0.8 This is a straightforward application of binomial coefficients requiring students to recognize that the middle term(s) have the highest coefficient in a symmetric expansion. It only requires calculating or comparing a few binomial coefficients from (1+x)^8, which is simpler than most standard C1 questions involving algebraic manipulation or multi-step problem-solving. |
| Spec | 1.04a Binomial expansion: (a+b)^n for positive integer n |
| Answer | Marks | Guidance |
|---|---|---|
| Largest term is 70 | M1, A1, A1 | c.a.o |
Coefficients are 1 8 28 56 70 56 28 8 1
Largest term is 70 | M1, A1, A1 | c.a.o3 Find the term which has the highest coefficient in the expansion of $( 1 + x ) ^ { 8 }$.
\hfill \mbox{\textit{OCR MEI C1 Q3 [3]}}