Author: Msomi Bora

Tangaza Shule hapa Msomi Bora – Ni bure kabisa Msomi Bora tumeanzisha program maalum iitwayo “Shule Bora” ambayo imelenga kuzipromote Shule zote ambazo ni nzuri tu, lakini shule hizi sio maarufu sana kwa Watanzania wengi. Huenda Shule yako au yenu ikawa kwenye hili kundi. “Avumaye baharini ni papa, na wengine nao wamo” Elewa kwamba, sio wazazi wote wanapenda au wana uwezo wa kuwapeleka watoto wao kwenye shule kubwa kubwa, au zenye ufaulu mkubwa. Hata hiyo shule yako inaweza ikawavutia wazazi wengi tu, kikubwa tu iwe na mazingira mazuri ya kiusomaji na usalama kwa wanafunzi. Shule hizi zitawekwa kwenye Tovuti yetu…

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ADVANCED MATHEMATICS FOR FORM SIX   Click the links below to view the notes   HYPERBOLIC FUNCTION   VECTOR ANALYSIS   NUMERICAL METHOD   COMPLEX NUMBER   DIFFERENTIAL EQUATION   COORDINATE GEOMETRY II   STATISTICS 1   PROBABILITY   .. ..   .. GET BETTER AT MATHEMATICS – PART 2 4. Create a Study Schedule Creating a study schedule is one of the most effective steps to understanding how to become better at math. By planning your study time, you ensure that you dedicate consistent effort to your math practice, which is essential for building and retaining skills. A study schedule helps…

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ADVANCED MATHEMATICS FOR FORM FIVE   We have: Notes 1 and Notes 2   Notes 1 To view the Notes, click the following links below:   TOPIC 1 – CALCULATING DEVICES   TOPIC 2 – SETS   TOPIC 3 – LOGIC   TOPIC 4 – COORDINATE GEOMETRY I   TOPIC 5 – FUNCTIONS   TOPIC 6 – ALGEBRA   TOPIC 7 – TRIGONOMETRY   TOPIC 8 – LINEAR PROGRAMMING   TOPIC 9 – DIFFERENTIATION   TOPIC 10-  INTEGRATION   .. Notes 2 To view the Notes, click the following links below: 1. CALCULATING DEVICES 2. SETS 3. LOGIC 4. COORDINATE GEOMETRY 1 5. FUNCTIONS…

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ADVANCED MATHEMATICS FOR ADVANCED LEVEL Click the links below to view the notes FORM FIVE FORM SIX ..   Mathematics is one of the most important subjects. Mathematics is a subject of numbers, shapes, data, measurements and also logical activities. It has a huge scope in every field of our life, such as medicine, engineering, finance, natural science, economics, etc. We are all surrounded by a mathematical world. The concepts, theories and formulas that we learn in Maths books have huge applications in real-life. To find the solutions for various problems we need to learn the formulas and concepts. Therefore, it is…

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Kilimanjaro Mock Exams with Answers (Marking Schemes) Form Four | Mock Examinations – May 2025 To download the Exams with Answers click the links below: BIOLOGY 1 CIVICS ENGLISH GEOGRAPHY HISTORY KISWAHILI MATHEMATICS PHYSICS 1 Exams with no answers …. Essays Essay questions differ from short answer questions in that the essay questions are less structured. This openness allows students to demonstrate that they can integrate the course material in creative ways. As a result, essays are a favoured approach to test higher levels of cognition including analysis, synthesis and evaluation. However, the requirement that the students provide most of the structure…

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MATHEMATICS NOTES FOR FORM FOUR   We have: Notes 1 and Notes 2   Notes 1 To view the Notes, click the following links below:   TOPIC 1 – COORDINATE GEOMETRY TOPIC 2 – AREA AND PERIMETER TOPIC 3 – THREE DIMENSIONAL FIGURES TOPIC 4 – PROBABILITY TOPIC 5 – TRIGONOMETRY TOPIC 6 – VECTORS TOPIC 7 – MATRICES AND TRANSFORMATIONS TOPIC 8 – LINEAR PROGRAMMING .. Notes 2 To view the Notes, click the following links below: 1. COORDINATE GEOMETRY 2. AREAS AND PERIMETERS 3. THREE – DIMENSIONAL FIGURES 4. PROBABILITY 5. TRIGONOMETRY 6. VECTORS 7. MATRICES AND TRANSFORMATIONS 8. LINEAR PROGRAMMING ANSWERS…

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MATHEMATICS NOTES FOR FORM THREE   We have: Notes 1 and Notes 2   Notes 1 To view the Notes, click the following links below: .. TOPIC 1 – RELATIONS TOPIC 2 – FUNCTIONS TOPIC 3 – STATISTICS TOPIC 4 – RATES AND VARIATIONS TOPIC 5 – SEQUENCE AND SERIES TOPIC 6 – CIRCLES TOPIC 7 – THE EARTH AS A SPHERE TOPIC 8 – ACCOUNTS   Notes 2 To view the Notes, click the following links below: 1. RELATIONS 2. FUNCTIONS 3. STATISTICS 4. RATES AND VARIATIONS 5. SEQUENCES AND SERIES 6. CIRCLES 7. EARTH AS A SPHERE 8. ACCOUNTING ANSWERS TO ODD-NUMBERED…

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MATHEMATICS NOTES FOR FORM TWO   We have: Notes 1 and Notes 2   Notes 1 To view the Notes, click the following links below: TOPIC 1 – EXPONENTS AND RADICALS TOPIC 2 – ALGEBRA TOPIC 3 – QUADRATIC EQUATIONS TOPIC 4 – LOGARITHMS TOPIC 5 – CONGRUENCE TOPIC 6 – SIMILARITY TOPIC 7 – GEOMETRIC AND TRANSFORMATIONS TOPIC 8 – PYTHAGORAS THEOREM TOPIC 9 – TRIGONOMETRY TOPIC 10 – SETS TOPIC 11 – STATISTICS   Notes 2 To view the Notes, click the following links below: 1. EXPONENTS AND RADICALS 2. ALGEBRA 3. QUADRATIC EQUATIONS 4. LOGARITHMS 5. CONGRUENCE 6. SIMILARITY 7. GEOMETRICAL…

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MATHEMATICS NOTES FOR FORM ONE .. We have: Notes 1 and Notes 2   Notes 1 To view the Notes, click the following links below: TOPIC 1 – NUMBERS TOPIC 2 – FRACTIONS TOPIC 3 – DECIMAL AND PERCENTAGE TOPIC 4 – UNITS TOPIC 5 – APPROXIMATIONS TOPIC 6 – GEOMETRY TOPIC 7 – ALGEBRA TOPIC 8 – NUMBERS (II) TOPIC 9 – RATIO, PROFIT AND LOSS TOPIC 10 – COORDINATE GEOMETRY TOPIC 11 – PERIMETERS AND AREAS    Notes 2 To view the Notes, click the following links below: 1. CONCEPT OF MATHEMATICS 2. NUMBERS I 3. FRACTIONS 4. DECIMALS AND PERCENTAGES 5.…

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  MATHEMATICS NOTES FOR ORDINARY LEVEL   Click the links below to view the notes:   FORM ONE   FORM TWO   FORM THREE   FORM FOUR         THEDEFINITIONS OF MATHEMATICS Mathematics isa field of study that discovers and organizes methods, theories and theorems thatare developed and proved for the needs of empirical sciences andmathematics itself. Mathematics isthe science and study of quality, structure, space, and change. Mathematiciansseek out patterns, formulate new conjectures, and establish truth by rigorousdeduction from appropriately chosen axioms and definitions. Mathematics,the science ofstructure, order, and relation that has evolved from elemental practices ofcounting, measuring, and describing the shapes of objects. Mathematicsis the science that deals…

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