Mathematics B 9-1 4MB1: Algebra Topical Past Paper Questions

A bag contains n sweets. There are 9 orange sweets in the bag. The rest of the sweets are purple. Mina takes at random a sweet from the bag and eats it. Stuart then takes at random a sweet from the bag and eats it. The probability that Mina and Stuart both eat a sweet of the same…

$$ \frac{35\times\left(\sqrt[3]{25}\right)^{6(2a-3)}}{7\times25^{2a+1}}=5^{w} $$ Find an expression for w in terms of a Give your answer in the form $ na + m $ where n and m are integers.

$ f(x) = 3x^{3} + ax^{2} - 20x + b $ where a and b are integers. $ (x + 4) $ is a factor of $ f(x) $ $ (x - 2) $ is a factor of $ f(x) $ (a) Use the factor theorem to find the value of $a$ and the value of $b$ (3) One solution of the equation $ 8x^{3}-18x^{2}+5x+6=0 $ is $ \frac{…