# Chapters Involved

This section is a sample of what you will be learning based on the chapters that you have purchased, bought and paid for.

Choosing whichever chapter(s) you are weak in, is the best way to improve.

Here we show you as an example of what you will get in the form of questions, explanations and workings from our tailored lessons in pre-recorded teaching video(s).

A function f is given by f(x) = a(xp)² + q, where a, p and q are constants. If f(3) = 5, f(p) = -3 and
f(q) = 29, find the possible values of a, p and q.

If 2x² – qx + 2 > 0 for all values of x, show that q < -4 or q > 4.

Given that (-2, 1) is a solution for the simultaneous equations:
by + m +1 = x
$m({x \over y}) + b^2({y \over x}) + 8 = 0$
Find the values of b and the corresponding values of m.

Evaluate $5 ^{2 log_53}$

Write down the values of the first three terms of a series given that the sum of the first n terms of a certain series is $3(2^n -1)$.

The diagram shows the graph of $y \over x$ against $x$.

Express $y$ in the form of $y = ax^2 + bx + c$, and state the numerical values of $a$, $b$ and $c$.

Given two straight lines $3x – y – 3 = 0$ and $x – 2y +19 = 0$. Find the length of the line segment that joins the origin O to the point of intersection between the straight lines.

Find a vector of magnitude 2 units in the direction of AB, where A (2, -3) and B (-1, 1).

At a particular time, a Navy patrol boat A receives an emergency transmission that a fishing boat F is drifting from a point 5 km on a bearing of 030º from A. By the time the patrol boat reaches the fishing boat F, it has drifted 4 km eastward. Calculate the distance A has covered before reaching F.

The index number of crops produced in the year 2015 based on the year 2014 is 120 and corresponding index number of crops produced for the year 2014, based on the year 2013 is 108. Calculate the index number of crops produced for the year 2015 based on the year 2013.

## Conclusion

Do adapt to such new form of old-school-new-platform tuition. Pens, pencils and books are still needed. Just that the learning experience is a tad different now. It is time to move forward.