Category: Basic Mathematics Study Notes

QUADRATIC EQUATION QUADRATIC EQUATION Is any equation which can be written in the form of ax2 + bx + c=0 where a ≠ 0 and a, b and c are real numbers. SOLVING QUADRATIC EQUATION i) BY FACTORIZATION Example 1 solve x2 + 3x – 10 = 0 Solution: x2…

EXPONENT AND RADICALS   EXPONENTS: – Is the repeated product of real number by itself e.g. i) 2 x 2 x 2 x 2 = 24 ii) 6 x 6 x 6 x 6 x 6 = 65 iii) a x a x a x a x a = a5…

UNITS   UNITS OF LENGTH Basic unit of length is meter. Other unit are such as :- Unit Symbol Millimeter mm Centimeter cm Decimeter dm Meter m Decameter dam Hectametre hm Kilometer km     Km hm dam m dm cm mm 1 0 0 0 0 0 0 1…

RATIO, PROFIT AND LOSS Ratio:- the ratio of number p and q is p:q or p ÷ q or p/q Examples: 1. Joha and Siwenza shared 4,000 shillings between them. It Joha received 15,000 shillings and Siwenza got 25,000 shillings, Find the ratio of the amounts they received: Solution: Joha…

PERIMETERS AND AREA PERIMETER: The perimeter is the length of a closed curve. It is measured in centimeters, meter, kilometer etc To find the perimeter of a shape, add the length of the sides which enclose it. Example: Find the perimeter of rectangle which is 6m by 9m solution Consider…

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…

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…

APPROXIMATIONS Is the process of rounding off a number in the given places in rounding makes numbers easier to deal with but at the same time reduces their accuracy. The methods used for approximation or rounding off numbers are decimal places and significant figures. ROUNDING OFF PROCEDURES i) If the…

FRACTIONS A fraction is a number that can be written in the form of Where a and b are intergers and b 0 The number which is written on top of fraction is called Numerator and the bottom is called denominator e.g Type of fraction (i) Proper fractions – A…

NUMBERS What is numbers? Numbers are symbols or words which represent quantity of something for example in form 1B there are forty four students. i.e. 44 students The numbers are represented by symbols called numerals. Each symbol in a numeral is called a digit. E.g. In 256 there are three…