Ten questions. The result tells you which lessons you may skip.
Make \(h\) the subject of \(v^2 = 2gh\).
\(100\,\text{g}\) of water at \(80\,\text{°C}\) is mixed with \(300\,\text{g}\) of water at \(20\,\text{°C}\) in an insulated flask. The final temperature is
Solve together: \(x + y = 10\) and \(x - y = 4\).
The equations \(x + 2y = 4\) and \(2x + 4y = 3\) have
The roots of \(t^2 - 5t + 6 = 0\) are
A ball is thrown straight up at \(10\,\text{m/s}\), with \(g = 10\,\text{m/s}^2\). For the height \(6\,\text{m}\), the equation \(5t^2 - 10t + 6 = 0\) has a negative discriminant. This means
The time-of-flight equation of a stone thrown from a cliff gives \(t = 4\,\text{s}\) and \(t = -2\,\text{s}\). The time of flight is
By Kepler's third law \(T \propto r^{3/2}\). A planet four times as far from the Sun as another has a period
Solve \(-3x < 6\).
The binomial approximation gives \((1.01)^{-2}\) as about