TOPIC 9: RATIO, PROFIT AND LOSS Ratio A ratio – is a way of comparing quantities measured in the same units Examples of ratios A class has 45 girls and 40 boys. The ratio of number of boys to the number of girls = 40: 45 A football ground 100 long and 50 wide. The ratio of length to the width = 100: 50 NOTE: Ratios can be simplified like fractions 40: 45 = 8: 9 100: 50 = 2: 1 A Ratio in its Simplest Form Express a ratio in its simplest form Example 1 Simplify the following ratios, giving…
Author: Msomi Bora
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TOPIC 8: NUMBERS (II) Rational Numbers A Rational Number Define a rational number A Rational Number is a real number that can be written as a simple fraction (i.e. as a ratio). Most numbers we use in everyday life are Rational Numbers. Number As a Fraction Rational? 5 5/1 Yes 1.75 7/4 Yes .001 1/1000 Yes -0.1 -1/10 Yes 0.111… 1/9 Yes √2(square root of 2) ? NO ! The square root of 2 cannot be written as a simple fraction! And there are many more such numbers, and because they are not rational they are called Irrational. The Basic Operations on Rational Numbers…
TOPIC 3: HUMAN POPULATION Definitions of Population – Population is total number of living things of a particular type or group who live in a particular area or environment. – Population is the number of organisms of the same group or species, which live in a particular geographical area. – Population refers to all the people or animals of a particular type or group that live in one country, area, or town. Definitions of Human Population – Human population is the number of people living in a particular area, from a village to the world as a whole. – Human…
TOPIC 7 APPLICATION OF STATISTICS Definitions of Statistics – Statistics is the practice or science of collecting and analyzing numerical data in large quantities, especially for the purpose of inferring proportions in a whole from those in a representative sample. – Statistics is the discipline that concerns the collection, organization, analysis, interpretation and presentation of data. – Statistics is a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data – Statistics is the science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability,…
DOWNLOAD CLASS ONE EXAMINATIONS 2010 – Present Monthly, Midterm, Terminal and Annual Exams English Medium The Examinations for Primary Schools using English Language as a Medium of Instruction. To download the Exams Click the years below to download the exams: 2010 – 2023 2024 2025 How to Pass Exams Give yourself enough time to study Make a study schedule that fits your way of studying and do not leave anything for the last minute. While some students do seem to thrive on last-minute studying, often this way of partial studying is not the best approach for…
NJOMBE CATHOLIC JOINT MOCK EXAMS WITH ANSWERS (MARKING SCHEMES) Regional Examinations – May 2025 How to download the Exams You will click the package to download the exams The Exams have been combined in a Zip File If your phone will not able to open the file, you may use Wps Office or Zip File Extractor (apps) to unzip the files. Click the link below to download the Exams; NJOMBE EXAMS WITH ANSWERS Advantages of School Uniform 1. Improved Behaviour Uniform has been shown to improve behaviour both inside and outside of the school gates. It means that children can concentrate…
PHYSICS BOOKS FOR SECONDARY STUDENTSForOrdinary Level and Advanced LevelTo view the Books click the links below;Definitions, People and Years Dates of Independence of African Nations History Book (O-Level)Historia ya Muungano wa Tanganyika na ZanzibarA Modern History of TanganyikaAfrica’s Liberation_The Legacy of NyerereHistory of West AfricaHistory of EuropeHidden History of AfricaHow Europe Underdeveloped Africa (2 Books)BOOK 1 and BOOK 2What is history?History is the study of the past and the present which enables learners to predict the future. In order to be an all-round citizen, one must have a deep understanding of his historical background.The meaning of history encompasses several dimensions, integrating the study,…
VITABU VYA KISWAHILI KWA SHULE ZA SEKONDARI KISWAHILI BOOKS FOR SECONDARY STUDENTS For Ordinary Level and Advanced Level To view the Books, click the links below; Kamusi – Kiswahili kwa Kiarabu 2018 Kamusi – Kiswahili kwa Kiingereza – Toleo la TatuMethali za Kiswahili na Maana ZakeLearning Swahili Language 1. Helps you prepare for research in East AfricaSwahili is an essential language when working in East Africa or studying aspects of East Africa. It offers access to the Swahili culture and other East African cultures. Whether your field of interest is politics, history, anthropology, linguistics, technology, or business, Swahili’s long preserved history…
PHYSICS BOOKS FOR SECONDARY STUDENTSForOrdinary Level and Advanced LevelTo view the Books click the links below;Concise Physics_Selina Physics – Revision Notes_O-Level Physics Advance – 1000 Solved Problems Physics – Alevel – Roger Physics Practice Book Physics Teacher’s Book F3 Physics_Abbott, A FLearning Physics Unlock a wide range of career opportunities There are so many different career opportunities for physics graduates, regardless of your identity or background. If you’d like a physics specific career, you could become a physics teacher or professor, or an academic researcher.If you’re deciding between a medicine or a physics degree, complete a degree in physics and become a medical physics clinical…
MATHEMATICS BOOKS FOR SECONDARY STUDENTSForOrdinary Level and Advanced LevelTo view the Books click the links below;Advanced Pure MathematicsBasic Mathematics Book 2Basic Mathematics Book 3Cambridge Pure Mathematics 1Complete Advanced Level Mathematics Pure MathematicsEngineering Mathematics 1Isc Mathematics for Class XiSolution MathematicsTopical Revision Notes_Additional Mathematics O-Level Understanding Pure Mathematics Learning Mathematics Builds problem-solving skills Maths is one of the foremost subjects for gaining problem-solving skills and encouraging analytical thinking. These analytical skills are beneficial in a wide range of everyday scenarios. From calculating expenses, analysing data, and making strategic decisions, a solid foundation in maths empowers individuals to tackle challenges effectively. STEM career foundation: If…