MATHEMATICS FORM 2 – ALGEBRA msomimaktaba, August 17, 2024 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… Continue Reading
FORM TWO MOCK – EXAMINATION: AUGUST 2020 | BASIC MATHEMATICS msomimaktaba, October 8, 2020 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – STATISTICS msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – SETS msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – TRIGONOMETRY msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – PYTHAGORAS THEOREM msomimaktaba, November 13, 2018August 17, 2024 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… 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 – SIMILARITY AND ENLARGEMENT msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – CONGRUENCE OF SIMPLE POLYGON msomimaktaba, November 13, 2018August 17, 2024 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… 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 Form 2 Mathematics – QUADRATIC EQUATION msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading
Basic Mathematics Study Notes Form 2 Mathematics – EXPONENT AND RADICALS msomimaktaba, November 13, 2018August 17, 2024 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… Continue Reading