Category: Form 3 Basic Mathematics Study Notes

ACCOUNTS Accountsis a place in a ledger where all the transactions are relating to a particular asset, liabilities and capital, expenses,or revenue items were recorded. Accounts is a wider concept with identifying measuring and communicating economic information to permit informed judgments and decisions by users of the information. The part…

THE EARTH AS A SPHERE   The earth surface is very close to being a sphere. Consider a sphere representing the shape of the earth as below. NS is the Axis of the earth in which the earth rotates once a day. O is the center of the earth. The…

CIRCLE   DEFINITION AND PROPERTIES OF A CIRCLE A circle can be defined in two ways. A circle: Is a closed path curve all points of which are equal-distance from a fixed point called centre OR – Is a locus at a point which moves in a plane so that…

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 ………

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…

STATISTICS Is the study or the methods of collecting, summarizing and presenting data and interpreting the information. MEASURES OF CENTRAL TENDENCY 1. Mean 2. Median 3. Mode MEAN “X” Is obtained by adding up all the data values then divide by the number of characters. I.e. i.e. =mean x1+x2+x3………. Sum…

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…

RELATIONS A relation associates an element of one set with one or more elements of another set. If ”a” is an element from set A which associates another element ”b” from set B, then the elements can be written in an ordered pairs as (a,b) Thus we can define a…