Mathematics Past Questions and Answers

Find the distance between the points C(2, 2) and D(5, 6).

Find the equation of a line perpendicular to the line 4y = 7x + 3 which passes through (-3, 1)

<table class='tbn'><tbody><tr><td> Marks </td><td> 1 </td><td> 2 </td><td> 3 </td><td> 4 </td><td> 5 </td></tr><tr><td> Frequency </td><td> 2y - 2 </td><td> y - 1 </td><td> 3y - 4 </td><td> 3 - y </td><td> 6 - 2y </td></tr></tbody></table><br/><br/>The table above is the distribution of data with mean equals to 3. Find the value of y.

Evaluate \(\frac{2\sin 30 + 5\tan 60}{\sin 60}\), leaving your answer in surd form.

In the circle above, with centre O and radius 7 cm. Find the length of the arc AB, when < AOB = 57°.