The document is a mathematics module in trigonometry for Form 3 students in Malaysia. It contains instructions for a 35 question test covering trigonometric concepts in English. Students are to fill out personal information and confirmation of test details on an answer sheet before taking the multiple choice and written response test questions.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
Bab 2-kuasa-dua-punca-kuasa-dua-kuasa-tiga-punca-kuasa-tigahambadah
Dokumen tersebut membahas tentang konsep kuasa dua, kuasa tiga, dan punca kuasa dua dan kuasa tiga. Ia menyenaraikan beberapa soalan yang melibatkan pengiraan dan penyelesaian masalah yang melibatkan konsep-konsep tersebut. Dokumen ini juga menyentuh mengenai penganggaran nilai kuasa dua, kuasa tiga dan punca kuasa dua, kuasa tiga bagi sesuatu nombor.
Dokumen tersebut membahas tentang poligon sekata dan tidak sekata, termasuk definisi, ciri-ciri, cara menghitung sudut dalam, perimeter, dan luas. Poligon dibedakan menjadi dua jenis berdasarkan panjang sisi dan besar sudut dalamnya. Rumus-rumus untuk menghitung sudut, perimeter, dan luas dipaparkan dengan beberapa contoh.
The document is the cover page for a mathematics exam paper for Form 4 students in Malaysia. It provides instructions for students, including the time allotted (1 hour and 15 minutes), a reminder not to open the paper until instructed, and information that the paper contains 40 questions. It also lists some common mathematical formulas that may be useful for answering the questions.
Bab 2-kuasa-dua-punca-kuasa-dua-kuasa-tiga-punca-kuasa-tigahambadah
Dokumen tersebut membahas tentang konsep kuasa dua, kuasa tiga, dan punca kuasa dua dan kuasa tiga. Ia menyenaraikan beberapa soalan yang melibatkan pengiraan dan penyelesaian masalah yang melibatkan konsep-konsep tersebut. Dokumen ini juga menyentuh mengenai penganggaran nilai kuasa dua, kuasa tiga dan punca kuasa dua, kuasa tiga bagi sesuatu nombor.
Dokumen tersebut membahas tentang poligon sekata dan tidak sekata, termasuk definisi, ciri-ciri, cara menghitung sudut dalam, perimeter, dan luas. Poligon dibedakan menjadi dua jenis berdasarkan panjang sisi dan besar sudut dalamnya. Rumus-rumus untuk menghitung sudut, perimeter, dan luas dipaparkan dengan beberapa contoh.
Mathematics Form 1-Chapter 4 Ratio, Rates and Proportion KBSM of form 2 chp 5 KelvinSmart2
The document summarizes key concepts about ratios, rates, and proportions from a math chapter. It defines what a ratio is and how it can be written. It provides examples of how to use ratios to determine if quantities are proportional. It also discusses how to find ratios of three quantities or when multiple ratios are given. The remainder of the document consists of example problems for students to practice applying these ratio and proportion concepts.
Nota math f1 bab 13 theorem phytagorasBeela Sensei
This document discusses the Pythagorean theorem. It contains the following key points:
1. The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is always opposite the right angle.
2. The theorem can be used to find the length of an unknown side of a right triangle if the lengths of the other two sides are given.
3. Examples are provided to demonstrate using the Pythagorean theorem to calculate missing side lengths of right triangles.
Poligon adalah bentuk datar yang tertutup oleh 3 garis lurus atau lebih. Dokumen ini menjelaskan jenis-jenis poligon seperti segitiga, kuadrilatera, pentagon, dan hexagon beserta jumlah sisi dan bucu masing-masing. Rumus untuk menghitung jumlah pepenjuru poligon juga diberikan.
1. Asid karboksilik mempunyai formula am CnH2n+1COOH dan merupakan asid organik yang mengandungi kumpulan berfungsi karboksilik, -COOH.
2. Asid karboksilik menjalani tindak balas kimia yang sama dengan asid etanoik seperti membentuk garam, ester, dan gas karbon dioksida melalui tindak balas dengan bes, logam, alkohol dan karbonat logam.
3. Asid karboksilik digun
Bab 1 membahaskan pengenalan kepada penyiasatan saintifik. Ia menjelaskan definisi sains dan kepentingannya dalam kehidupan harian. Bab ini juga memperkenalkan bidang-bidang sains dan kerjaya yang berkaitan. Cara penggunaan alat pengukur dan peraturan keselamatan di makmal turut dibincangkan.
Koleksi soalan percubaan add math kertas 1
1. peperiksaan percubaan sekolah asrama penuh dan jawapan
2. pepriksaan percubaan negeri perak dan jawapan
3. peperiksaan percubaan negeri selangor dan jawapan
4. peperiksaan percubaan negeri terengganu dan jawapan
Tamadun awal dunia mempunyai ciri-ciri seperti sistem pertanian dan perdagangan,pembentukan bandar,sistem pemerintahan,pengkhususan pekerjaan,organisasi sosial dan agama."
This document provides an overview of statements and logical arguments in mathematics. It includes examples and exercises on:
- Defining statements and determining their truth values
- Negating statements
- Determining the truth values of compound statements using "and" and "or"
- Constructing statements in the form of implications ("if p, then q") and biconditionals ("p if and only if q")
The document is intended as a teaching guide for students to learn about the basic concepts and applications of statements and logical reasoning in mathematics.
Poligon II , Bab 2 , Matematik Tingkatan 3 , Disediakan oleh Amyra Ardini binti Suhimi . Harap dapat membantu anda untuk lebih memahami tentang poligon di tingkatan 3 :))
This document contains information about mathematics topics including transformations (translations, reflections, and rotations), similarity of geometric objects, and enlargement. It begins with definitions and examples of translations, reflections, and rotations. Translations move every point of a figure by a given vector, reflections produce an image that is the mirror image across a line of reflection, and rotations turn the figure around a fixed point through a given angle. It then discusses similarity of geometric objects, where similar objects have corresponding angles that are equal and corresponding sides that are in the same ratio. The document concludes with introducing enlargement and relating similarity to enlargement, explaining how enlargement uniformly increases the lengths of sides of a figure using scale factors. Worked examples are provided to
This document discusses insurance premium calculations for life insurance and motor insurance policies. It provides formulas and tables to calculate premiums based on factors such as age, health status, vehicle type and capacity. For life insurance, premium rates increase with age due to declining life expectancy. Smokers also face higher rates due to greater health risks. The document demonstrates calculations for annual premiums on sample policies. It also discusses No Claim Discount rates that reduce premiums for drivers with no claims in the previous year. Premium amounts may differ from insurers' rates due to additional fees and taxes.
Mathematics Form 1-Chapter 4 Ratio, Rates and Proportion KBSM of form 2 chp 5 KelvinSmart2
The document summarizes key concepts about ratios, rates, and proportions from a math chapter. It defines what a ratio is and how it can be written. It provides examples of how to use ratios to determine if quantities are proportional. It also discusses how to find ratios of three quantities or when multiple ratios are given. The remainder of the document consists of example problems for students to practice applying these ratio and proportion concepts.
Nota math f1 bab 13 theorem phytagorasBeela Sensei
This document discusses the Pythagorean theorem. It contains the following key points:
1. The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. The hypotenuse is always opposite the right angle.
2. The theorem can be used to find the length of an unknown side of a right triangle if the lengths of the other two sides are given.
3. Examples are provided to demonstrate using the Pythagorean theorem to calculate missing side lengths of right triangles.
Poligon adalah bentuk datar yang tertutup oleh 3 garis lurus atau lebih. Dokumen ini menjelaskan jenis-jenis poligon seperti segitiga, kuadrilatera, pentagon, dan hexagon beserta jumlah sisi dan bucu masing-masing. Rumus untuk menghitung jumlah pepenjuru poligon juga diberikan.
1. Asid karboksilik mempunyai formula am CnH2n+1COOH dan merupakan asid organik yang mengandungi kumpulan berfungsi karboksilik, -COOH.
2. Asid karboksilik menjalani tindak balas kimia yang sama dengan asid etanoik seperti membentuk garam, ester, dan gas karbon dioksida melalui tindak balas dengan bes, logam, alkohol dan karbonat logam.
3. Asid karboksilik digun
Bab 1 membahaskan pengenalan kepada penyiasatan saintifik. Ia menjelaskan definisi sains dan kepentingannya dalam kehidupan harian. Bab ini juga memperkenalkan bidang-bidang sains dan kerjaya yang berkaitan. Cara penggunaan alat pengukur dan peraturan keselamatan di makmal turut dibincangkan.
Koleksi soalan percubaan add math kertas 1
1. peperiksaan percubaan sekolah asrama penuh dan jawapan
2. pepriksaan percubaan negeri perak dan jawapan
3. peperiksaan percubaan negeri selangor dan jawapan
4. peperiksaan percubaan negeri terengganu dan jawapan
Tamadun awal dunia mempunyai ciri-ciri seperti sistem pertanian dan perdagangan,pembentukan bandar,sistem pemerintahan,pengkhususan pekerjaan,organisasi sosial dan agama."
This document provides an overview of statements and logical arguments in mathematics. It includes examples and exercises on:
- Defining statements and determining their truth values
- Negating statements
- Determining the truth values of compound statements using "and" and "or"
- Constructing statements in the form of implications ("if p, then q") and biconditionals ("p if and only if q")
The document is intended as a teaching guide for students to learn about the basic concepts and applications of statements and logical reasoning in mathematics.
Poligon II , Bab 2 , Matematik Tingkatan 3 , Disediakan oleh Amyra Ardini binti Suhimi . Harap dapat membantu anda untuk lebih memahami tentang poligon di tingkatan 3 :))
This document contains information about mathematics topics including transformations (translations, reflections, and rotations), similarity of geometric objects, and enlargement. It begins with definitions and examples of translations, reflections, and rotations. Translations move every point of a figure by a given vector, reflections produce an image that is the mirror image across a line of reflection, and rotations turn the figure around a fixed point through a given angle. It then discusses similarity of geometric objects, where similar objects have corresponding angles that are equal and corresponding sides that are in the same ratio. The document concludes with introducing enlargement and relating similarity to enlargement, explaining how enlargement uniformly increases the lengths of sides of a figure using scale factors. Worked examples are provided to
This document discusses insurance premium calculations for life insurance and motor insurance policies. It provides formulas and tables to calculate premiums based on factors such as age, health status, vehicle type and capacity. For life insurance, premium rates increase with age due to declining life expectancy. Smokers also face higher rates due to greater health risks. The document demonstrates calculations for annual premiums on sample policies. It also discusses No Claim Discount rates that reduce premiums for drivers with no claims in the previous year. Premium amounts may differ from insurers' rates due to additional fees and taxes.
Plan Strategi Geografi-SMK Alor Akar KuantanRosnah Salleh
Dokumen tersebut merangkum strategi panitia geografi SMK Alor Akar, Kuantan Pahang untuk tahun 2006-2010. Strategi tersebut bertujuan meningkatkan pencapaian pelajar dalam peperiksaan PMR dan SPM dengan menetapkan matlamat meningkatkan peratus kelulusan dan GPS mata pelajaran geografi ke tahap 100% dan 1.0 masing-masing menjelang 2010. Beberapa strategi yang dicadangkan termasuk program latihan topikal dan program mes
Dokumen tersebut berisi soalan-soalan ujian matematik untuk murid tingkatan 4 yang meliputi topik-topik seperti pembilangan perkataan, pembilangan angka, operasi hitung, pecahan, dan masalah-masalah sederhana. Soalan-soalan tersebut bertujuan menguji pemahaman dan kemahiran dasar matematik siswa.
Dokumen ini memberikan panduan perkembangan pembelajaran matematik untuk tingkatan 2. Ia menjelaskan matlamat dan objektif kurikulum matematik tingkatan 2 untuk membentuk individu yang berpemikiran matematik dan berketerampilan menyelesaikan masalah. Dokumen ini juga menyenaraikan tajuk-tajuk yang diajar seperti nombor, bentuk dan ruang, perkaitan beserta deskriptor pencapaian untuk setiap tajuk.
This document is a 35 question mathematics test on indices in Malay. It includes instructions for students on how to complete the multiple choice and written response questions. The test covers 7 constructs including understanding mathematical language in English and applying index notation. Students are asked to solve problems involving exponent rules, simplifying expressions with indices, and evaluating expressions.
Este documento presenta ejercicios de matemáticas de primer grado sobre las operaciones de suma y resta hasta 100. Explica las operaciones de suma y resta, y proporciona una serie de ejemplos con sus respuestas correctas para que los estudiantes practiquen.
latihan topikal-garis-dan-sudut-ii dalam bentuk subjektif yang menguji minda dalam topik ini.Jawapan disediakan dengan tepat dan betul sekali.Memudahkan dalam memahami topik ini.
a) Using the Pythagorean theorem, the length of the diagonal BD is 13 cm
b) Using the Pythagorean theorem, the length of the diagonal of the rectangular prism HB is 13√2 ≈ 13.6 cm
The three medians of any triangle are concurrent and intersect at the triangle's centroid. The centroid is always inside the triangle and is located 2/3 of the distance from each vertex to the midpoint of the opposite side. The orthocenter, where the three altitudes intersect, is inside an acute triangle, on the right angle vertex of a right triangle, and outside an obtuse triangle.
This document is a mathematics module in the form of an objective test containing 60 multiple choice questions about lines and angles for Form 3 students in Malaysia. The test assesses students' understanding of English language questions and mathematical terms, as well as their mastery of concepts, comprehension, skills, ability to express ideas in English, and understanding of teaching and learning in English.
The document discusses trigonometry and trigonometric ratios. It defines trigonometry as the study of triangles and trigonometric ratios as ratios of sides of a right triangle. The three basic trigonometric ratios are sine, cosine, and tangent, which are the ratios of the opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides, respectively. Examples are given to demonstrate calculating trigonometric ratios using the properties of right triangles. Common mistakes made by students are also discussed.
The document discusses trigonometry and trigonometric ratios. It defines trigonometry as the study of triangles and trigonometric ratios as ratios of sides of a right triangle. The three basic trigonometric ratios are sine, cosine, and tangent, which are the ratios of the opposite/hypotenuse, adjacent/hypotenuse, and opposite/adjacent sides, respectively. Examples are given to demonstrate calculating trigonometric ratios using the properties of right triangles. Common mistakes made by students are also discussed.
Trigonometry is the branch of mathematics that deals with relationships between the sides and angles of triangles, especially right triangles. It studies functions of angles called trigonometric functions, including sine, cosine, and tangent. Trigonometry has applications in calculating lengths and angles without direct measurement, and was originally developed to solve problems in fields like astronomy, surveying, and navigation.
Trigonometry deals with relationships between the sides and angles of triangles, especially right triangles. It has many applications in fields like astronomy, architecture, engineering, and more. The document provides examples of using trigonometric functions like sine, cosine, and tangent to solve problems involving right triangles, including finding unknown side lengths and angles. It also discusses various trigonometric identities and applications of trigonometry in areas like digital imaging, waves, and architecture.
This module introduces triangle trigonometry and solving for unknown sides and angles of right triangles. It provides 5 lessons:
1. Determining the appropriate trigonometric equation based on the given information in a right triangle.
2. Solving right triangles when given the hypotenuse and one leg.
3. Solving right triangles when given the hypotenuse and one acute angle.
4. Solving right triangles when given one leg and one acute angle.
5. Solving right triangles when given the measures of both legs. It includes examples and practice problems for each case.
The PowerPoint presentation is on the "BASICS OF TRIGONOMETRY".
It includes the --
1) Definition of Trigonometry,
2) History of Trigonometry and its Etymology,
3) Angles of a Right Triangle,
4) About different Trigonometric Ratios,
5) Some useful Mnemonics to remember the Trig. ratios,
6) Theorem, which states that --
"Trigonometric Ratios are same for the same angles"
7) Trigonometric Ratios for some specific/ standard angles.
Area of focus: Trigonometry and mathematical proofs
Topics covered:
> Trigonometry
> Right triangle definitions
> Trigonometric functions
> Special right triangles
> Law of sines
> Law of cosines
> Postulates and axioms
> Theorems
> Pythagorean Theorem
> Mathematical proof
Suggested time to complete (2 hrs):
> Teaching material (40 minutes)
> Practice activity (20 minutes)
> Final project (60 minutes)
The document provides guidance on identifying and calculating angles between lines and planes in 3-dimensional space. It outlines four key skills: 1) Identifying the angle between a line and plane, 2) Calculating the angle between a line and plane, 3) Identifying the angle between two planes, and 4) Calculating the angle between two planes. Examples are given to demonstrate how to use trigonometric functions like tangent to determine specific angles within diagrams of 3D objects. Activities are also included for students to practice applying the skills, such as identifying angles within diagrams of cuboids.
This document provides an introduction to trigonometry and some key concepts. It defines trigonometry as the measurement of triangles and describes angle terminology like vertex and initial/terminal sides. Common angle units like degrees are explained. Pythagoras' theorem and the adjacent, opposite, and hypotenuse sides of a right triangle are defined. Trigonometric ratios and their reciprocal relationships are introduced. Tables of trig ratios for common angles are provided. Complementary angles and their corresponding trig ratio relationships are described.
1. The document defines and provides examples of different types of lines including perpendicular, intersecting, concurrent, parallel, and skew lines. It also defines perpendicularity.
2. Perpendicular lines intersect to form right angles. If two lines intersect to form right angles at a point, they are perpendicular. The perpendicular bisector of a line segment is the line perpendicular to the segment at its midpoint.
3. Parallel lines never intersect and have the same slope when graphed on a coordinate plane. They are shown with double lines or slanted lines symbols.
The document describes 9 diagrams showing geometric shapes, transformations, and properties. Diagram 1 shows a point P' as the image of point P under a transformation M. The following diagrams and questions involve reflections, rotations, enlargements, similarities, and constructions involving congruent or corresponding parts of geometric figures. The key information is describing various geometric transformations and identifying corresponding or congruent elements of figures related by transformations.
This document discusses trigonometric ratios and identities. It defines the three main trigonometric ratios - sine, cosine, and tangent - as ratios of the lengths of sides of a right triangle. It also introduces six trigonometric functions defined as reciprocals or quotients of the main ratios. The document provides examples of using trigonometric identities to verify relationships between functions through algebraic manipulation.
This document provides examples of writing quadratic equations in general form. It shows working through solving two equations step-by-step and rewriting them as ax2 + bx + c = 0, with a = 1 for the first equation, and a = 2 for the second.
SMK Kampung Gelam memberikan ringkasan singkat tentang sekolah tersebut. Sekolah ini terletak di Melaka dan memulakan operasinya pada tahun 2009 dengan 195 pelajar dan 15 guru. Sekolah ini mempunyai pelbagai kemudahan pendidikan dan sukan untuk menyokong pembelajaran pelajar.
The document is a 10 question pretest about salts. It asks students to identify examples of salts used in daily life, which salt is used as a fertilizer, and which salt can neutralize excess stomach acid. It also asks students to identify the acid used to make ammonium chloride, the salt formed from sodium hydroxide and hydrochloric acid, chemical equations that represent neutralization, reactions that can produce potassium sulfate, true statements about salts, the type of salts formed from ethanoic acid, and the definition of a salt.
This document contains a pretest for a topic on acids and bases. The pretest has 24 multiple choice questions that assess understanding of key concepts such as: [1] the definition of acids and bases, [2] properties of strong vs. weak acids and bases, and [3] calculations involving molarity, moles, and mass in acid/base solutions. Students are to record their answers in a provided table with spaces for each question number.
The document is a 15 question post-test on electrochemistry. It contains multiple choice questions testing understanding of electrolysis apparatus, electrolytes, half-reactions, and products of electrolysis for various molten salts including sodium chloride, lead(II) bromide, and potassium iodide. Diagrams of electrolysis set-ups are provided with some questions referring to labeled components or substances.
1. The document is a post-test on chemical bonds with 15 multiple choice questions and answers.
2. The questions cover topics like chemical stability of atoms, ion formation, ionic and covalent bonding, Lewis structures, and the periodic table.
3. The final question asks which statement about ionic and covalent bonds is not true - that covalent bonds involve electrostatic force of attraction.
Surat pekeliling ini membincangkan langkah-langkah untuk meningkatkan keselamatan pelajar di sekolah. Ia menyarankan peningkatan kesedaran terhadap keselamatan diri melalui pengajaran dan peraturan. Langkah-langkah seperti sistem kawalan keluar-masuk, tempat berkumpul selamat, dan larangan kawasan tersembunyi diperkenalkan. Semua pihak perlu bekerjasama untuk melaksanakan peraturan keselamatan di sekol
1. A student carried out an experiment to investigate the relationship between the change in length (y) of a spring and the mass (m) of a load placed on the spring.
2. The student measured the change in length of the spring for different masses and recorded the data in a table.
3. A graph of y against m showed that y increased linearly with m, indicating the change in length of the spring is directly proportional to the mass of the load.
1. The document discusses the characteristics of precision, accuracy, and sensitivity which are important when selecting a measuring instrument.
2. Precision refers to the consistency or reproducibility of measurements, while accuracy refers to how close measurements are to the true or accepted value.
3. Sensitivity is the ability of an instrument to detect small changes in the measured quantity. More sensitive instruments have finer scale divisions and can measure smaller amounts.
This document discusses the importance of measurement in physics and introduces the International System of Units (SI Units) used to measure physical quantities. It provides definitions and examples of base units like the meter, kilogram, second, kelvin, and ampere. Prefixes are also introduced to write very large and small numbers in standard form with powers of ten. Examples are provided to convert between different units of length, mass, time, volume, velocity, pressure, and acceleration.
This document discusses base and derived physical quantities in physics. It defines base quantities as those that cannot be derived from other quantities, and lists the five base SI units as length, mass, time, temperature, and current. Derived quantities are defined as those derived from base quantities through multiplication or division, and examples given are area, velocity, and density. The document also discusses scalar and vector quantities, with scalars having magnitude only and vectors having both magnitude and direction.
This document describes several activities to teach students about experimentation and identifying variables. The activities explore evaporation, solubility, dissolving, acids, alkalis, temperature, pressure, springs, and friction. For each activity, the document identifies the manipulated variable, responding variable, and any constant/controlled variables. It also provides examples of how to operationally define scientific terms based on experimental observations and measurements. The overall purpose is to help students learn about experimental design and identifying the key variables in experiments.
This document provides teaching materials and activities for lessons on water and solutions. It includes:
1. Word lists and definitions for key scientific terms related to the physical characteristics and composition of water, such as melting point, boiling point, and electrolysis.
2. Details on activities to reinforce vocabulary, including word puzzles, jumbles, and crossword puzzles using the terms.
3. Instructions for teachers on distributing materials, having students complete the activities, and going over answers to check understanding.
The goal is to help students learn and understand important scientific vocabulary through engaging classroom exercises on topics like the physical properties and molecular structure of water.
This document discusses common misconceptions that occur during the teaching and learning of science topics. It provides examples of misconceptions related to various concepts in biology and physics. The objectives are to help teachers identify these misconceptions and be aware that they may be unintentionally passing them on to students. Suggestions include activities for teachers to help students distinguish between correct and incorrect understandings. The document aims to improve science education by reducing the spread of misconceptions.
Pantun ini membahas tentang prinsip-prinsip fizik seperti tekanan, tindak balas tekanan, dan sistem hidraulik. Pantun 1 dan 2 membahas tentang tekanan yang dihasilkan oleh beban dan atmosfera. Pantun 3 dan 4 menjelaskan bagaimana tekanan cecair dan atmosfera dapat mempengaruhi pergerakan cecair. Pantun 5 ingin membina sistem hidraulik berdasarkan prinsip Pascal.
The document discusses the key concepts of elements, compounds, atoms, and molecules. It defines elements as pure substances that cannot be broken down further, and compounds as substances made of two or more elements bonded chemically. Atoms are the smallest particles of an element, with a nucleus containing protons and neutrons surrounded by electrons. Molecules are formed when two or more atoms of elements share electrons to achieve a stable electron configuration.
বাংলাদেশের অর্থনৈতিক সমীক্ষা ২০২৪ [Bangladesh Economic Review 2024 Bangla.pdf] কম্পিউটার , ট্যাব ও স্মার্ট ফোন ভার্সন সহ সম্পূর্ণ বাংলা ই-বুক বা pdf বই " সুচিপত্র ...বুকমার্ক মেনু 🔖 ও হাইপার লিংক মেনু 📝👆 যুক্ত ..
আমাদের সবার জন্য খুব খুব গুরুত্বপূর্ণ একটি বই ..বিসিএস, ব্যাংক, ইউনিভার্সিটি ভর্তি ও যে কোন প্রতিযোগিতা মূলক পরীক্ষার জন্য এর খুব ইম্পরট্যান্ট একটি বিষয় ...তাছাড়া বাংলাদেশের সাম্প্রতিক যে কোন ডাটা বা তথ্য এই বইতে পাবেন ...
তাই একজন নাগরিক হিসাবে এই তথ্য গুলো আপনার জানা প্রয়োজন ...।
বিসিএস ও ব্যাংক এর লিখিত পরীক্ষা ...+এছাড়া মাধ্যমিক ও উচ্চমাধ্যমিকের স্টুডেন্টদের জন্য অনেক কাজে আসবে ...
Communicating effectively and consistently with students can help them feel at ease during their learning experience and provide the instructor with a communication trail to track the course's progress. This workshop will take you through constructing an engaging course container to facilitate effective communication.
Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
The temple and the sanctuary around were dedicated to Asklepios Zmidrenus. This name has been known since 1875 when an inscription dedicated to him was discovered in Rome. The inscription is dated in 227 AD and was left by soldiers originating from the city of Philippopolis (modern Plovdiv).
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
How to Setup Warehouse & Location in Odoo 17 InventoryCeline George
In this slide, we'll explore how to set up warehouses and locations in Odoo 17 Inventory. This will help us manage our stock effectively, track inventory levels, and streamline warehouse operations.
2. MODULE 13: TRIGONOMETRY
Arahan:
1. Modul ini mengandungi tiga puluh lima soalan. Semua soalan adalah dalam
bahasa Inggeris.
2. Modul merangkumi tujuh konstruk yang diuji
K1 - Memahami soalan dalam bahasa Inggeris
K3 - Memahami istilah matematik dalam bahasa Inggeris
K5 - Menguasai konstruk pengetahuan
K6 - Menguasai konstruk kefahaman
K7 - Menguasai konstruk kemahiran
K8 - Mengungkapkan idea/informasi dalam bahasa Inggeris
K10 - Memahami pengajaran dan pembelajaran dalam bahasa Inggeris
3. Murid hendaklah menulis maklumat diri dalam kertas jawapan objektif disediakan.
Murid juga perlu memastikan maklumat konstruk, nombor soalan dan jumlah
soalan seperti yang dibaca oleh guru di dalam ruangan disediakan dalam kertas
jawapan objektif sebelum ujian.
4. Bagi soalan objektif, anda perlu menandakan jawapan dengan menghitamkan
pilihan jawapan pada pilihan jawapan A , B , C atau D pada kertas jawapan
objektif.
Contoh:
Antara berikut, yang manakah haiwan?
A. Pokok B. Kambing C. Kereta D. Pen
A B C D E
5. Untuk soalan subjektif, jawapan hendaklah ditulis pada kertas berasingan
yang disediakan oleh guru.
6. Jawab semua soalan.
Modul ini mengandungi 19 halaman bercetak
2
3. 1 The hypotenuse of a right-angled triangle is the side opposite to the right angle.
P
S
R
Q
T
What is the hypotenuse in the diagram?
PQ
A
QR
B
PR
C
PS
D
∆ XYZ shows the sides of a right-angled triangle with reference to angleθ .
2
Z
Hypotenuse
θ
X Adjacent
Opposite
Y
The tangent of angle θ is the ratio of the opposite side to the adjacent side.
R
θ
M N
State the tangent of angle θ for the ∆ MNR.
A MN
NR
B NR
MN
C MR
NR
D NR
MR
3
4. A right-angled triangle is a triangle in which one of its angles must be 90 o .Which of
3
the following shows a right-angled triangle?
A
P
R Q
B
P
R Q
C
P
Q
R
D
P
Q
R
1
The value of sin 30o is equal to the value of cos 60 o . Since sin 30 o =
4 , what is the
2
value of cos 60 o ?
A 1
5
B 3
5
C 1
3
D 1
2
4
5. 5 Sine of an angle is the ratio of the opposite side to the hypotenuse.
K
θ
M
L
In the triangle above, KL is the adjacent side, LM is the opposite side and KM is the
hypotenuse with respect to angle θ .
What is sine θ ?
KL
A
LM
LM
B
KM
LM
C
KL
KL
D
KM
P
6
70°
60° 50°
L
T
The angles P, T and L are known as
A right angles
B acute angles
C obtuse angles
D corresponding angles
5
6. 7 The cosine of an angle is
A the ratio of the adjacent side to the hypotenuse
B the ratio of the opposite side to the adjacent side
C the ratio of the adjacent side to the opposite side
D the ratio of the hypotenuse side to the opposite side
8 Name the hypotenuse in the diagram below.
S
T
θ
P R
Q
A PR
B PT
C TQ
D SR
9 The ratio of the opposite side to the hypotenuse in a right-angled triangle is called
A the cosine of the angle
B the sine of the angle
C the tangent of the angle
D the cotangent of the angle
10 The diagram below shows the right-angled triangle PQR.
R
P
θ
Q
With reference to the angle θ , PR is known as the
A adjacent side
B opposite side
C hypotenuse
6
7. Name the adjacent side with reference to the angle θ in the diagram below.
11
R
S
θ
P Q
A PR
B PQ
C QR
D PS
12 The diagram shows the right-angled triangle PRS.
S R
θ
P
What is tan θ ?
A PS
RS
B PS
PR
C SR
PS
D SR
PR
7
8. 13 The diagram shows a right-angled triangle.
c
a
θ
b
What is cos θ ?
a
A
b
a
B
c
b
C
c
c
D
a
What is the value of tan 45° ?
14
1
A
2
1
B 2
3
C 2
D 1
8
9. 15 The diagram shows a right-angled triangle PQR.
R
5 cm
4 cm
P Q
3 cm
Find the value of tan ∠ RPQ.
3
A
5
3
B
4
4
C
3
4
D
5
16 The diagram shows a rectangle RSTU with diagonal RT.
R U
x
S T
Based on the diagram, which of the following trigonometric ratios are true?
ST
tan x =
I
SR
RS
sin x =
II
RT
RS
cos x =
III
ST
RU
tan x =
IV
TU
A I and II
B I and III
C II and III
D I and IV
9
10. 17 The diagram shows a right-angled triangle PQR.
P
x
R
Q
Given that PQ : PR = 12:13, what is the value of sin x?
13
A
12
12
B
13
5
C
12
5
D
13
18 The diagram shows a right-angled triangle.
x
2
5
2
3
The value of cos x is
3
A
4
2
B
5
3
C
5
4
D
5
10
11. 19 In the diagram, PQR is a right-angled triangle.
P
x
Q R
4
Given that cos x = , tan x=
5
3
A
5
3
B
4
5
C
4
4
D
3
11
12. 20 The diagram shows a right-angled triangle PQR.
P
15 cm
x
Q R
3
Given that, sin x = , what is the length of QR?
5
A 3x3
B 4x3
C 5x3
D 4x5
21 The diagram shows the right-angled triangle PQR.
PQ
x
6 cm
R
3
Given that tan x = , find the length, in cm, of PQ.
4
A 8
B 9
C 10
D 12
12
13. 22 The diagram shows a square, PQRS and a right-angled triangle PST.
Q P
T
x°
6 cm 10 cm
R S
Find the value of tan x .
3
A
7
3
B
5
3
C
4
4
D
5
23 The diagram shows a right-angled triangle KLM.
L
4 cm
32°
K M
Find the length, in cm, of KL.
A 2.12
B 4.72
C 6.40
D 7.55
13
14. 24 The diagram shows two right-angled triangles PQT and QRS. T is the mid-point of
QS and QR = 2PQ.
S
5 cm
T
y
PR Q 3 cm
Find the value of tan y.
1
A
2
3
B
5
3
C
4
4
D
3
25 The diagram below shows trapezium RSTU.
R
θ
U
12 cm
S T
24 cm
12
Given that tan θ = , find the length of RS.
5
A 10
B 17
C 22
D 26
14
15. All questions from number 26 to number 30, must be answered in words.
26 Explain how to determine the sine of an angle.
27 In a right-angled triangle, explain how you would determine the side which is the
hypotenuse.
28 The diagram shows the right-angled triangle ABC.
A
3
y
C
B 4
Explain how to determine the value of sin y.
29 Explain how to determine the value of tan 14.7°, using a scientific calculator.
15
16. 30 Explain how to identify the opposite side and the adjacent side of a given angle
in a right-angled triangle.
From question 31 – 35, the teacher reads the questions to the students. Students
choose the correct answer.
31
K
L M
5
A
13
5
B
12
12
C
5
13
D
5
16
17. 32
R
E
f
12
G
10
F
Q
P
A 6
B 8
C 9
D 11
33
A 8 sin 60 o
B 8 cos 60 o
C 8 tan 60 o
D 8
17
19. 35
θ
p
A
r
q
B
p
p
C
q
q
D
r
END OF QUESTION PAPER
19
20. KEMENTERIAN PELAJARAN MALAYSIA
KERTAS JAWAPAN OBJEKTIF
Ujian Diagnostik
Nama Pelajar:
Tahun/ Tingkatan : 3 Mata Pelajaran: MATEMATIK
Modul: 13
Nama Sekolah:
GUNAKAN PENSIL 2B ATAU BB SAHAJA.
TENTUKAN TIAP-TIAP TANDA ITU HITAM DAN MEMENUHI KESELURUHAN RUANG.
PADAMKAN HINGGA HABIS MANA-MANA TANDA YANG ANDA UBAH
SILA HITAMKAN JAWAPAN DI BAWAH MENGIKUT HURUF JAWAPAN YANG ANDA PILIH
A A A
B C D E B C D E B C D E
1 31 46
A A A
2 32 47
B C D E B C D E B C D E
A A A
B C D E B C D E B C D E
3 33 48
A A A
B C D E B C D E B C D E
4 34 49
A A A
B C D E B C D E B C D E
5 35 50
A A
B C D E B C D E
6 36 51
A B C D E
A A
7 37 52
B C D E B C D E
A B C D E
A A
B C D E B C D E
A
8 38 53
B C D E
A A
B C D E B C D E
A
9 39 54
B C D E
A A
B C D E B C D E
10 40 55
A B C D E
A A
B C D E B C D E
A 41 56
B C D E
11
A A
42 57
B C D E B C D E
A
12 B C D E
A A
B C D E B C D E
A B C D E 43 58
13
A A
B C D E B C D E
A B C D E 44 59
14
A A
B C D E B C D E
A 45 60
B C D E
15
Jumlah Bilangan Soalan
Konstruk No. Soalan Kegunaan Guru
A B C D E
16
Soalan Gagal Dijawab
A
17 B C D E
A K1 1-5 5
B C D E 1
18
A B C D E
19
K3 6-10 5
2
A B C D E
20
K5 11-15 5
3
A B C D E
21
K6 16-20 5
4
A
22 B C D E
A B C D E
23
K7 21-25 5
5
A B C D E
24
A B C D E
25 26-30 5
K8
6
31-35 5
K10
7
A B C D E
26
A
27 B C D E
8
A B C D E
28
A B C D E 9
29
A B C D E
30
10