Basic Mathematics Study Notes Form 4 Mathematics – TRIGONOMETRY msomimaktaba, November 13, 2018August 17, 2024 TRIGONOMETRY Trigonometrical ratios in a unit circle The three trigonometrical ratios of sine, cosine and tangent have been defined earlier, using the sides of a right-angled triangle as follows If A is an angle as shown Consider a circle of units subdivided into four congruent sectors of the coordinate axes… Continue Reading
Basic Mathematics Study Notes Form 4 Mathematics – COORDINATE GEOMETRY msomimaktaba, November 13, 2018August 17, 2024 COORDINATE GEOMETRY Exercise 1. Plot the following point. P (2,2), T (-1, -2), L (2, -1) 2. In which quadrants is the? a. Abscissa positive? I b. Ordinate negative III c. Abscissa negative II d. Ordinate positive I e. Abscissa negative and ordinate negative? III EQUATIONS IN A STRAIGHT LINE… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – SEQUENCE AND SERIES msomimaktaba, November 13, 2018August 17, 2024 SEQUENCE AND SERIES SEQUENCE Is a set of numbers written in a definite order such that there is a rule by which the terms are obtained. Or Is a set of number with a simple pattern. Example 1. A set of even numbers • 2, 4, 6, 8, 10 ……… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – RATES AND VARIATIONS msomimaktaba, November 13, 2018August 17, 2024 RATES AND VARIATIONS RATES:- When sets or quantities of different kinds are related, we use the word rate. i.e 1. A rate of pay of 10,000/= Tsh per hour (money- time) 2. The price of juice is 700/= Tsh per litre (money -weight of juice) 3. The average speed… Continue Reading
Basic Mathematics Study Notes Form 3 Mathematics – FUNCTION msomimaktaba, November 13, 2018August 17, 2024 FUNCTION A function is a set of ordered pairs which relates two sets such that to each element of one set there is only one element of the second set Example Represent the following set of ordered pairs in a pictorial diagram. (1,4), (2,3), (-1,2), (-2,-3). Solution A function whose… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – GEOMETRICAL TRANSFORMATIONS msomimaktaba, November 13, 2018August 17, 2024 GEOMETRICAL TRANSFORMATIONS -A transformation changes the position, size, direction or shape of objects. -Transformation in a plane is a mapping which moves an object from one position to another within the plane. The new position after a transformation is called an image Examples of transformations are Reflection Rotation Enlargement and… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – LOGARITHMS msomimaktaba, November 13, 2018August 17, 2024 LOGARITHMS STANDARD NOTATIONS Standard notation form is written in form of A x 10n whereby 1≤ A< 10 and n is any integers Example Write the following in standard form (i) 2380 Solution: 2380 = 2.38 x 103 (ii) 97 Solution: 97 = 9.7 x 101 (iii) 100000 Solution: 100000… Continue Reading
Basic Mathematics Study Notes MATHEMATICS FORM 1 – COORDINATE GEOMETRY msomimaktaba, November 11, 2018August 17, 2024 COORDINATE GEOMETRY Introduction The position of points on a line found by using a number line, that is When two number lines one vertical and another one horizontal are considered one kept at 90o and intersecting at their zero marks, The result is called xy – plane or… Continue Reading
Basic Mathematics Study Notes MATHEMATICS FORM 1 – ALGEBRA msomimaktaba, November 11, 2018August 17, 2024 ALGEBRA Algebra is a study which deals with situations whereby some values unknown. Normally these unknown are represented by letters. Those letters are also referred to as variables. Algebraic expression An expression – is a mathematical statement which consists of several variables. An expression can only be simplified, that is… Continue Reading
Book Keeping Study Notes BOOK KEEPING FORM ONE – ELEMENTARY BALANCE SHEET msomimaktaba, November 11, 2018May 7, 2020 Elementary Balance Sheet The Balance Sheet Define the balance sheet The balance sheet, also called the statement of financial position, is the third general purpose financial statement prepared during the accounting cycle. It reports a company’s assets, liabilities, and equity at a single moment in time. You can think of… Continue Reading
Book Keeping Study Notes BOOK KEEPING FORM ONE – INTRODUCTION OF BOOK KEEPING msomimaktaba, November 11, 2018May 7, 2020 SUBJECT MATTER OF BOOK KEEPING Subject Matter of Book Keeping The Meaning of Book Keeping Define book keeping Book-keeping is an art of recording financial business transaction in a set of books in terms of money or money worth. Bookkeeping involves the recording, storing and retrieving of financial transactions for… Continue Reading
Chemistry Study Notes ADVANCED CHEMISTRY QUESTIONS & ANSWERS – SOLVED PROBLEMS msomimaktaba, November 11, 2018February 13, 2019 1 . Explain very briefly using equations where possible the extraction of copper from its commercial hall under the heading of reduction and purification. 2. (a) Write down: (i) Four reasons which justifies the placement of hydrogen in group I of the periodic table (ii) Four reasons which puts…Pages: 1 2 3 Continue Reading
Form 5 General Studies (GS) Study Notes Form 5 General Studies (GS) – PHILOSOPHY AND RELIGION msomimaktaba, November 7, 2018February 13, 2019 PHILOSOPHY I. Concept of philosophy Philosophy is the Greek word having the two words. Philo means the love of or pursuit of and Sophia means wisdom (knowledge). The simple meaning two combine word with the love of wisdom or knowledge. Loving wisdom involve seeking to know and understand about what…Pages: 1 2 3 4 5 Continue Reading
Form 4 Physics Notes PHYSICS FORM FOUR TOPIC 5: ELECTRONIC msomimaktaba, November 6, 2018February 13, 2019 Semi Conductors The Concept of Energy Band in Solids Explain the concept of energy bands in solids In solid-state physics, the electronic band structure (or simply band structure) of a solid describes those ranges of energy that an electron within the solid may have (called energy bands, allowed bands, or… Continue Reading
Form 4 Physics Notes PHYSICS FORM FOUR TOPIC 1: WAVESIntroduction to Waves msomimaktaba, November 6, 2018February 13, 2019 The Concept of Wave Explain the concept of a wave A wave is a disturbance that travels through a medium from one location to another location. Consider a slinky wave as an example of a wave. When the slinky is stretched from end to end and is held at rest,… Continue Reading
Form 3 Physics Notes PHYSICS FORM THREE TOPIC 9: THERMAL CURRENT ELECTRICITY msomimaktaba, November 6, 2018February 13, 2019 Electromotive force (emf) and potential difference (pd) The Concept of Electromotive Force (emf) and Potential Difference (PD) Explain the concept of electromotive force (emf) and potential difference (pd) Potential difference (P.d) is the difference in potential between two charged points of conductor. It is measured in volts with… Continue Reading