A deck to help you memorise formulae from A-level Further Mathematics
| Front | State the formula for a \( \chi^2 \) test |
| Back | \[\chi^2 = \sum_{i=1}^{k} \frac{(O_i - E_i)^2}{E_i}\] |
| Front | \[\text{If } X \text{ fits } B(n, p), \text{ state } E(X) \text{ and } \text{Var}(X)\] |
| Back | \[E(X) = np\]\[\text{Var}(X) = np(1 - p)\] |
| Front | Evaluate \( \int \frac{1}{a^2 + x^2} \, dx \) |
| Back | \[\int \frac{1}{a^2 + x^2} \, dx = \frac{1}{a} \tan^{-1}\left(\frac{x}{a}\right) + C\] |