ALGEBRA – BINARY OPERATIONS This is the operation in which the two numbers are combined according to the instruction The instruction may be explained in words or by symbols e.g. x, *, – Bi means two Example1. Evaluate (i) 5 x 123 Solution: 5 x 123 = 5(100 + 20…
Category: Form 2 Basic Mathematics Study Notes

Form 2 Mathematics – STATISTICS
STATISTICS Definition -is a branch of mathematics dealing with the study of method of collecting,organizing, analyzing, presenting and interpreting numerical details to reach conclusions. Frequency distribution Is a number of times each data point Example 1 1. Make a frequency table from the following data from the followings data of…

Form 2 Mathematics – TRIGONOMETRY
TRIGONOMETRY Trigonometric ratio Introduction: TRI – is the Greek word which means three. -Trigonometry is the branch of mathematics which deals with measurement. -A Trigonometric ratio consists of three parts that is – Hypotenuse, Adjacent and opposite. Consider the diagram below which is the right angled triangle For example…

Form 2 Mathematics – GEOMETRICAL TRANSFORMATIONS
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…

Form 2 Mathematics – CONGRUENCE OF SIMPLE POLYGON
CONGRUENCE OF SIMPLE POLYGON The triangles above are drawn such that CB= ZY AC=XZ B=YX Corresponding sides in the triangles are those sides which are opposite to the equal angles i.e. If the corresponding sides are equal i.e. In general, polygons are congruent if corresponding sides and corresponding…

Form 2 Mathematics – QUADRATIC EQUATION
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…
FORM TWO MOCK – EXAMINATION: AUGUST 2020 | BASIC MATHEMATICS
PRESIDENT’S OFFICE REGIONAL ADMINISTRATION AND LOCAL GOVERNMENT ITILIMA DISTRICT COUNCIL FORM TWO MOCK- EXAMINATION: AUGUST 2020 041 BASIC MATHEMATICS TIME 2:30 HRS Tuesday 4TH August 2020 am Instructions Answer all questions 1. (a) Write the number 0.002758 correct to (i) 3 significant figures (ii) 2 decimal places (iii) mathematical…

Form 2 Mathematics – SETS
SETS A set is a group/ collection of things such as a herd of cattle, a pile of books, a collection of trees, a shampoos bees and a fleck of sheep Description of sets -A set is described/denoted by Carl brackets { } and named by Capital letters Examples If…

Form 2 Mathematics – PYTHAGORAS THEOREM
PYTHAGORAS THEOREM PYTHAGORAS THEOREM Pythagoras theorem is used to solve problems involving right angled triangles. Statement: In a right- angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides. Shown below Required to prove: c2 = a2 + b2 Construction…

Form 2 Mathematics – SIMILARITY AND ENLARGEMENT
SIMILARITY AND ENLARGEMENT Similar figures: Two polygons are said to be similar if they have the same shape but not necessarily the same size. When two figures are similar to each other the corresponding angles are equal and the ratios of corresponding sides are equal. SIMILARTRIANGLE Triangle are similar when…

Form 2 Mathematics – LOGARITHMS
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…

Form 2 Mathematics – EXPONENT AND RADICALS
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…