# Form 5 Additional Mathematics

#### Judith Yen

Updated on November 8, 2021

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).

*z* radians at the centre O of a circle of radius 6 cm. Find the value of *z*, and hence, calculate the area of the sector OXY.

Integrate $(3x + 1)(3x – 1) \over x^2$ with respect to *x*.

The diagram shows a regular octagon.

a. How many triangles can be formed from the vertices of that octagon?

b. Find the number of triangles that include vertex Q as one of its vertices.

*p*, *p*²) and P (X > 2) = 13%, find the value of *p*, and hence, evaluate P (X <1).

An English test paper consists of section A and section B. A student gets x marks for section A and y marks for section B.

a. Write a linear inequality for each of the following conditions:

I The student’s marks for section B is not more than the marks in section A.

II The total marks of this student is not more than 84 marks.

III The minimum marks obtained is 25 marks for section B.

b. Draw a diagram to show a region R that satisfies all the inequalities in (a).

c. Find the maximum and minimum marks that the student can obtain if the student’s marks for section A is twice the marks for section B.

Updated on November 8, 2021