Q1
Answer
A triangle has side lengths $3$, $7$, and $8$ cm.
  1. Find the size of the largest angle in the triangle.
  2. Hence find the area of the triangle.
  1. $98.2^{\circ}$
  2. $10.4$
Q2
Answer
Solve $4^x + 8 - 2^{x+1} = 2^{x+2}$
$x = 1, 2$
Q3
Answer
  1. Write $\dfrac{2}{1-x^2}$ in partial fractions.
  2. Hence find the first three terms, in ascending powers of $x$, in the expansion of $\dfrac{2}{1-x^2}$
  1. $\dfrac{1}{1+x} + \dfrac{1}{1-x}$
  2. $2 + 2x^2$