Solve the quadratic equation \(6x^{2}+11x-10=0\) by factorising.

A circle has radius \(5\) cm. Write down its circumference, giving your answer in terms of \(\pi\).

Yusuf invests \(\$2000\) at a rate of \(10\%\) per year compound interest. Work out the total interest he earns in 2 years.

The probability that it rains on any given day in a certain town is \(0.35\). Find the probability that it does not rain on either of two particular days.

In a sale the price of a jacket is reduced by \(20\%\) to \(\$68\). Work out the original price of the jacket.

Work out the exact value of \(\sin 60^\circ \times \cos 30^\circ\), giving your answer as a fraction in its simplest form.

The vector \(\binom{6}{k}\) is parallel to the vector \(\binom{2}{-5}\). Find the value of \(k\).

By first grouping the four terms in pairs, factorise \(2ax-6ay+bx-3by\).

\(x = 8.6\) and \(y = 3.2\), each correct to \(1\) decimal place. Calculate the lower bound of \(x - y\).