The document discusses the history and concepts of set theory. It notes that the theory of sets was developed by German mathematician Georg Cantor in the late 19th century while working on trigonometric series. Several universal and component sets are defined and operations like union and intersection are performed on these sets. Examples of specifying sets using logical conditions are also presented.
This document contains summaries of three separate math homework assignments on similar topics:
1) The first assignment covers similar shapes and asks students to calculate values in diagrams and solve problems.
2) The second assignment involves solving systems of simultaneous equations and finding the point of intersection of two lines.
3) The third assignment covers quadratics and asks students to write equations of parabolas based on diagrams, find maximum/minimum points, intercepts, and solve quadratic equations algebraically and using the quadratic formula.
This document contains sample problems and solutions from a high school algebra 1 textbook chapter on statistics. It includes questions about analyzing scatterplots and linear models, finding patterns in sequences, solving systems of equations, factoring quadratic expressions, and other statistical and algebraic concepts. The problems range from 6-4 to 6-104 and cover topics such as linear and geometric sequences, linear and quadratic functions, factoring, systems of equations, and analyzing scatterplots and linear models.
ยฃ57.60
VAT at 20%
Item
Price
T-shirt
ยฃ12.99
Shorts
ยฃ19.99
Socks
ยฃ4.99
VAT is 20%
Without a calculator,
please, for question 1.
Working must be shown
Clip 52 Percentage of an Amount without a Calculator
Working must be shown
Without a calculator,
please, for question 3.
Working must be shown
Without a calculator,
please, for question 1.
Working must be shown
Clip 51 Find a Percentage with a Calculator
The document provides homework corrections and answers for various algebra problems from Chapter 1 on functions from Orcutt Academy High School's algebra 1 course, including corrections to homework problems, lab answers, and additional practice problems with worked out solutions shown.
This document provides an introduction to basic arithmetic concepts including the four fundamental operations of addition, subtraction, multiplication, and division. It discusses topics such as whole numbers, fractions, mixed numbers, and changing between numerical representations. Examples and exercises are provided to demonstrate key concepts like performing the four operations, reducing fractions, and converting between whole numbers and fractions. The goal is to lay the foundation for understanding modern mathematics.
This document is a marking scheme for an Additional Mathematics Paper 1 exam for a SPM 2017 program. It provides the solutions and marking guidelines for 25 questions on the exam. For each question, it lists the answer, marks allocated, and details on what is required to earn full or partial marks. The marking scheme is intended to guide examiners on how to consistently evaluate and score students' responses on the Additional Mathematics Paper 1.
The document contains daily math practice problems from April 5th to May 8th. Each day's worksheets have 6 multiple choice or short answer math questions, as well as shape identification and property questions. The answers to the previous days' worksheets are provided in a similar format with the calculations or explanations shown. The document serves to provide repeated math skill practice over multiple days and collect the work for review of answers.
The document discusses the history and concepts of set theory. It notes that the theory of sets was developed by German mathematician Georg Cantor in the late 19th century while working on trigonometric series. Several universal and component sets are defined and operations like union and intersection are performed on these sets. Examples of specifying sets using logical conditions are also presented.
This document contains summaries of three separate math homework assignments on similar topics:
1) The first assignment covers similar shapes and asks students to calculate values in diagrams and solve problems.
2) The second assignment involves solving systems of simultaneous equations and finding the point of intersection of two lines.
3) The third assignment covers quadratics and asks students to write equations of parabolas based on diagrams, find maximum/minimum points, intercepts, and solve quadratic equations algebraically and using the quadratic formula.
This document contains sample problems and solutions from a high school algebra 1 textbook chapter on statistics. It includes questions about analyzing scatterplots and linear models, finding patterns in sequences, solving systems of equations, factoring quadratic expressions, and other statistical and algebraic concepts. The problems range from 6-4 to 6-104 and cover topics such as linear and geometric sequences, linear and quadratic functions, factoring, systems of equations, and analyzing scatterplots and linear models.
ยฃ57.60
VAT at 20%
Item
Price
T-shirt
ยฃ12.99
Shorts
ยฃ19.99
Socks
ยฃ4.99
VAT is 20%
Without a calculator,
please, for question 1.
Working must be shown
Clip 52 Percentage of an Amount without a Calculator
Working must be shown
Without a calculator,
please, for question 3.
Working must be shown
Without a calculator,
please, for question 1.
Working must be shown
Clip 51 Find a Percentage with a Calculator
The document provides homework corrections and answers for various algebra problems from Chapter 1 on functions from Orcutt Academy High School's algebra 1 course, including corrections to homework problems, lab answers, and additional practice problems with worked out solutions shown.
This document provides an introduction to basic arithmetic concepts including the four fundamental operations of addition, subtraction, multiplication, and division. It discusses topics such as whole numbers, fractions, mixed numbers, and changing between numerical representations. Examples and exercises are provided to demonstrate key concepts like performing the four operations, reducing fractions, and converting between whole numbers and fractions. The goal is to lay the foundation for understanding modern mathematics.
This document is a marking scheme for an Additional Mathematics Paper 1 exam for a SPM 2017 program. It provides the solutions and marking guidelines for 25 questions on the exam. For each question, it lists the answer, marks allocated, and details on what is required to earn full or partial marks. The marking scheme is intended to guide examiners on how to consistently evaluate and score students' responses on the Additional Mathematics Paper 1.
The document contains daily math practice problems from April 5th to May 8th. Each day's worksheets have 6 multiple choice or short answer math questions, as well as shape identification and property questions. The answers to the previous days' worksheets are provided in a similar format with the calculations or explanations shown. The document serves to provide repeated math skill practice over multiple days and collect the work for review of answers.
This document provides the marking scheme for Additional Mathematics Paper 1 Set 1. It lists 10 questions that will be on the exam and outlines the breakdown of marks for each part. For multiple part questions, the breakdown is typically 2 marks for the first part and 1 mark for the second. Correct answers are sometimes listed, such as the solutions to a quadratic equation in question 1 and the interval of values for m in question 4. The summary provides an overview of the structure and content of the marking scheme without copying the entire contents.
The document discusses writing equations in point-slope form. It provides the point-slope form equation y - y1 = m(x - x1) and examples of writing equations in point-slope form given a point and slope, finding the slope and a point from an equation, writing an equation in slope-intercept form, and finding the equation of a line given two points in point-slope form. The homework assigned is to complete practice problems writing and identifying equations in point-slope form.
This document contains 40 multiple choice mathematics questions covering topics like algebra, geometry, ratios, and data interpretation. It also includes identifying information for three individuals - the mathematics teacher, mathematics committee head, and administration and curriculum head - at a vocational high school in Malaysia.
1) Standard form is the formal way to write the equation of a line as Ax + By = C, where A, B, and C are integers and A must be positive.
2) The document provides examples of writing a line equation in standard form and finding the slope, y-intercept, and x-intercept of lines written in standard form.
3) Students are instructed to complete practice problems involving writing equations in standard form, finding slopes and intercepts, and graphing lines.
This document discusses using the beamer package in LaTeX to create presentations. It begins with an introduction and outline. It then covers topics like calling the beamer class, setting themes, adding a logo, and inserting slide numbers. It demonstrates how to create a title frame and frame with table of contents. Later sections discuss creating multi-column slides, adding text blocks, including figures and tables with subcaptions, and techniques for basic animations. The document includes code examples for many of the presentation elements discussed.
Form 1 Chapter 3 - CIKGU HARNISH SKOR IMPIANHarnish Kaur
ย
This document provides information about squares, square roots, cubes, and cube roots. It includes examples of evaluating expressions with exponents, determining whether numbers are perfect squares or cubes, and solving problems involving exponents. Key concepts covered are the definitions of exponents, properties like a^2 = a x a and a^3 = a x a x a, and evaluating expressions both with and without a calculator. Examples are provided to illustrate each concept.
The document discusses arithmetic series and sequences. It provides examples of finding the sum of arithmetic series using the standard formula of Sn = (n/2) * (first term + last term). It also shows how to determine the individual terms in an arithmetic series given the first term, number of terms, and difference between consecutive terms.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 12 printed pages and contains 21 multiple choice and written response questions testing a variety of math skills. Questions cover topics like order of operations, currency conversions, prime numbers, surface area, symmetry, simultaneous equations, inverse functions, and matrix operations. Students have 1 hour and 30 minutes to complete the exam, showing their work, writing answers in pens or pencils, and are allowed to use calculators and mathematical tables.
The document contains a math review with examples of different techniques for counting combinations and permutations, as well as examples involving polynomials, solid geometry, and volume. It provides the steps to solve problems involving multiplication to find combinations, factoring polynomials, finding volumes of geometric shapes, and determining angle measures using parallel lines and a transversal.
E-learning to solve Logarithms Concept in MathematicsTiamiyu Bola
ย
The document contains 40 multiple choice questions about mathematical operations involving logarithms. For each question there are 4 possible answer choices labeled A, B, C, or D. After answering all 40 questions, the document provides options to check your answers and see if they are correct or wrong.
The document lists the first 20 square numbers and asks the reader to find combinations that add up to other numbers in the list. It then demonstrates that the square roots of these combinations can form the sides of triangles, relating to Pythagoras' theorem that the square of the hypotenuse is equal to the sum of the squares of the other two sides. It concludes by stating Pythagoras' theorem mathematically.
Multiplying Decimals (3 Digit by 1 Digit)Chris James
ย
The document provides step-by-step instructions for multiplying a decimal number by a whole number. It uses the example of 3.97 x 6 to demonstrate how to set up the multiplication with decimal points aligned, then multiply each column working from right to left and carrying numbers to the next column. The final answer is 23.82. The document encourages visiting an external website for more math help and games, and purchasing a book on Amazon for help with multiplication tables.
The document discusses matrices and their operations including addition, subtraction, multiplication, transpose, determinant, and inverse. It provides examples of calculating the sum, difference, product, and inverse of various matrices. It also covers solving systems of linear equations using matrices and determinants.
The document provides examples for multiplying, dividing, and raising monomials to a power. It includes step-by-step work for multiplying terms like (3a2)(4a5), dividing terms like 15m5/3m2, and raising terms to a power like (2a2b6)4. The examples are followed by a short quiz assessing these skills.
This document provides instructions to write the number 136749 in different numeric forms using place value. It then lists out six different ways to write 136749 using ones, tens, hundreds, thousands, ten thousands, and lakhs. Finally, it instructs to write the number 324836 and then in different forms.
1. The document evaluates determinants of 4x4 matrices using Sarrus' rule for 3x3 determinants. It finds the determinants to be 72, -81, and 26445.
2. It uses Cramer's rule to solve three systems of equations, finding the solutions to be (-1, 3, 7), (b+c/2, c+a/2, b+a/2), and (0, 3, 4).
3. It calculates the volumes of two geometric shapes with points given, finding the volumes to be 5 cubic units and 5/3 cubic units.
1. This document is an exam paper for GCSE Mathematics (Linear) - 1380 Paper 4 (Calculator) Higher Tier. It contains 26 maths questions to be completed in 1 hour and 45 minutes. Students must show their working and write their answers in the spaces provided.
2. The exam paper provides information for candidates such as the marking scheme and advice to work steadily through all questions. It also contains a blank formulae page that students cannot write on.
3. The first few questions cover topics like currency exchange, geometric transformations, number sequences, scatter graphs, ratios, and solving equations. Students must set out their working clearly to receive full marks.
1) This document provides instructions and information for candidates taking an exam. It includes details like the candidate's name and signature box, instructions to not write on the formula page, and information about the number of questions and total marks.
2) The exam contains 26 multiple choice questions across 24 pages on various math topics. Calculators may be used for calculations.
3) Candidates are advised to show their work, work steadily through all questions, and return to any left blank at the end.
1) This document provides instructions and information for candidates taking an exam. It includes details like the candidate's name and signature that should be written on the front, as well as instructions to attempt all questions and show working.
2) The exam contains 26 multiple choice questions across 24 pages covering mathematics topics. Calculators may be used for calculations.
3) Candidates are advised to work steadily through the paper and not spend too long on any single question. If stuck, move on and return later.
This document is a mathematics exam for the International GCSE consisting of 21 multiple-choice questions covering topics like algebra, geometry, trigonometry, and statistics. The exam is 2 hours long and students must show their work. The front page provides instructions for completing the exam, including information about writing implements, how to fill in personal details, and guidance on showing working for partial credit. The back page leaves space for working out solutions to problems.
This document contains instructions and questions for a mathematics exam. It begins by providing spaces for the student to write their name, centre number, and candidate number. It then lists the total marks, time allowed, and materials permitted. The document contains 19 multiple choice and free response questions testing a variety of math skills like arithmetic, algebra, geometry, statistics, and graphing. It provides formulae for reference.
This document provides instructions and information for a practice GCSE Mathematics exam. It specifies that the exam is 1 hour and 45 minutes long and covers various topics in mathematics. It provides the materials allowed, instructions on completing the exam, information about marking and time allocation, and advice to students. The exam contains 18 questions testing skills in algebra, graphs, geometry, statistics, and problem solving. It is out of a total of 80 marks.
This document provides the marking scheme for Additional Mathematics Paper 1 Set 1. It lists 10 questions that will be on the exam and outlines the breakdown of marks for each part. For multiple part questions, the breakdown is typically 2 marks for the first part and 1 mark for the second. Correct answers are sometimes listed, such as the solutions to a quadratic equation in question 1 and the interval of values for m in question 4. The summary provides an overview of the structure and content of the marking scheme without copying the entire contents.
The document discusses writing equations in point-slope form. It provides the point-slope form equation y - y1 = m(x - x1) and examples of writing equations in point-slope form given a point and slope, finding the slope and a point from an equation, writing an equation in slope-intercept form, and finding the equation of a line given two points in point-slope form. The homework assigned is to complete practice problems writing and identifying equations in point-slope form.
This document contains 40 multiple choice mathematics questions covering topics like algebra, geometry, ratios, and data interpretation. It also includes identifying information for three individuals - the mathematics teacher, mathematics committee head, and administration and curriculum head - at a vocational high school in Malaysia.
1) Standard form is the formal way to write the equation of a line as Ax + By = C, where A, B, and C are integers and A must be positive.
2) The document provides examples of writing a line equation in standard form and finding the slope, y-intercept, and x-intercept of lines written in standard form.
3) Students are instructed to complete practice problems involving writing equations in standard form, finding slopes and intercepts, and graphing lines.
This document discusses using the beamer package in LaTeX to create presentations. It begins with an introduction and outline. It then covers topics like calling the beamer class, setting themes, adding a logo, and inserting slide numbers. It demonstrates how to create a title frame and frame with table of contents. Later sections discuss creating multi-column slides, adding text blocks, including figures and tables with subcaptions, and techniques for basic animations. The document includes code examples for many of the presentation elements discussed.
Form 1 Chapter 3 - CIKGU HARNISH SKOR IMPIANHarnish Kaur
ย
This document provides information about squares, square roots, cubes, and cube roots. It includes examples of evaluating expressions with exponents, determining whether numbers are perfect squares or cubes, and solving problems involving exponents. Key concepts covered are the definitions of exponents, properties like a^2 = a x a and a^3 = a x a x a, and evaluating expressions both with and without a calculator. Examples are provided to illustrate each concept.
The document discusses arithmetic series and sequences. It provides examples of finding the sum of arithmetic series using the standard formula of Sn = (n/2) * (first term + last term). It also shows how to determine the individual terms in an arithmetic series given the first term, number of terms, and difference between consecutive terms.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 12 printed pages and contains 21 multiple choice and written response questions testing a variety of math skills. Questions cover topics like order of operations, currency conversions, prime numbers, surface area, symmetry, simultaneous equations, inverse functions, and matrix operations. Students have 1 hour and 30 minutes to complete the exam, showing their work, writing answers in pens or pencils, and are allowed to use calculators and mathematical tables.
The document contains a math review with examples of different techniques for counting combinations and permutations, as well as examples involving polynomials, solid geometry, and volume. It provides the steps to solve problems involving multiplication to find combinations, factoring polynomials, finding volumes of geometric shapes, and determining angle measures using parallel lines and a transversal.
E-learning to solve Logarithms Concept in MathematicsTiamiyu Bola
ย
The document contains 40 multiple choice questions about mathematical operations involving logarithms. For each question there are 4 possible answer choices labeled A, B, C, or D. After answering all 40 questions, the document provides options to check your answers and see if they are correct or wrong.
The document lists the first 20 square numbers and asks the reader to find combinations that add up to other numbers in the list. It then demonstrates that the square roots of these combinations can form the sides of triangles, relating to Pythagoras' theorem that the square of the hypotenuse is equal to the sum of the squares of the other two sides. It concludes by stating Pythagoras' theorem mathematically.
Multiplying Decimals (3 Digit by 1 Digit)Chris James
ย
The document provides step-by-step instructions for multiplying a decimal number by a whole number. It uses the example of 3.97 x 6 to demonstrate how to set up the multiplication with decimal points aligned, then multiply each column working from right to left and carrying numbers to the next column. The final answer is 23.82. The document encourages visiting an external website for more math help and games, and purchasing a book on Amazon for help with multiplication tables.
The document discusses matrices and their operations including addition, subtraction, multiplication, transpose, determinant, and inverse. It provides examples of calculating the sum, difference, product, and inverse of various matrices. It also covers solving systems of linear equations using matrices and determinants.
The document provides examples for multiplying, dividing, and raising monomials to a power. It includes step-by-step work for multiplying terms like (3a2)(4a5), dividing terms like 15m5/3m2, and raising terms to a power like (2a2b6)4. The examples are followed by a short quiz assessing these skills.
This document provides instructions to write the number 136749 in different numeric forms using place value. It then lists out six different ways to write 136749 using ones, tens, hundreds, thousands, ten thousands, and lakhs. Finally, it instructs to write the number 324836 and then in different forms.
1. The document evaluates determinants of 4x4 matrices using Sarrus' rule for 3x3 determinants. It finds the determinants to be 72, -81, and 26445.
2. It uses Cramer's rule to solve three systems of equations, finding the solutions to be (-1, 3, 7), (b+c/2, c+a/2, b+a/2), and (0, 3, 4).
3. It calculates the volumes of two geometric shapes with points given, finding the volumes to be 5 cubic units and 5/3 cubic units.
1. This document is an exam paper for GCSE Mathematics (Linear) - 1380 Paper 4 (Calculator) Higher Tier. It contains 26 maths questions to be completed in 1 hour and 45 minutes. Students must show their working and write their answers in the spaces provided.
2. The exam paper provides information for candidates such as the marking scheme and advice to work steadily through all questions. It also contains a blank formulae page that students cannot write on.
3. The first few questions cover topics like currency exchange, geometric transformations, number sequences, scatter graphs, ratios, and solving equations. Students must set out their working clearly to receive full marks.
1) This document provides instructions and information for candidates taking an exam. It includes details like the candidate's name and signature box, instructions to not write on the formula page, and information about the number of questions and total marks.
2) The exam contains 26 multiple choice questions across 24 pages on various math topics. Calculators may be used for calculations.
3) Candidates are advised to show their work, work steadily through all questions, and return to any left blank at the end.
1) This document provides instructions and information for candidates taking an exam. It includes details like the candidate's name and signature that should be written on the front, as well as instructions to attempt all questions and show working.
2) The exam contains 26 multiple choice questions across 24 pages covering mathematics topics. Calculators may be used for calculations.
3) Candidates are advised to work steadily through the paper and not spend too long on any single question. If stuck, move on and return later.
This document is a mathematics exam for the International GCSE consisting of 21 multiple-choice questions covering topics like algebra, geometry, trigonometry, and statistics. The exam is 2 hours long and students must show their work. The front page provides instructions for completing the exam, including information about writing implements, how to fill in personal details, and guidance on showing working for partial credit. The back page leaves space for working out solutions to problems.
This document contains instructions and questions for a mathematics exam. It begins by providing spaces for the student to write their name, centre number, and candidate number. It then lists the total marks, time allowed, and materials permitted. The document contains 19 multiple choice and free response questions testing a variety of math skills like arithmetic, algebra, geometry, statistics, and graphing. It provides formulae for reference.
This document provides instructions and information for a practice GCSE Mathematics exam. It specifies that the exam is 1 hour and 45 minutes long and covers various topics in mathematics. It provides the materials allowed, instructions on completing the exam, information about marking and time allocation, and advice to students. The exam contains 18 questions testing skills in algebra, graphs, geometry, statistics, and problem solving. It is out of a total of 80 marks.
1. The document is the cover page and instructions for a mathematics exam. It provides information such as the exam date, time allowed, materials permitted, and instructions on how to answer questions and show working.
2. The exam consists of 20 multiple choice and constructed response questions worth a total of 100 marks. Questions cover topics like algebra, geometry, statistics and calculus.
3. Candidates are advised to show all working, use diagrams where appropriate, and check answers if time permits. Calculators are permitted.
This document contains two practice papers for the Scottish National 5 Mathematics exam. Paper 1 contains 11 multi-part questions testing various math skills. Paper 2 similarly contains 11 multi-part questions testing math concepts like algebra, geometry, statistics and trigonometry. The document also includes a formula sheet to use for reference while taking the exams.
This document contains instructions for candidates taking an exam on locus and constructions questions from past papers. It provides details on the exam format, materials allowed, instructions to candidates, and information about marking. The exam contains 26 questions from past papers on topics related to locus and constructions. Calculators are permitted but candidates must show working for calculations. Candidates are advised to work steadily through the paper and attempt all questions.
1. The document provides instructions for a mathematics exam, including information about the total marks, time allowed, materials permitted, and how to show working.
2. It contains 23 questions testing a range of mathematics topics like algebra, geometry, statistics, and calculus.
3. Students are instructed to write their answers in the spaces provided and show all working, as partial answers may receive no marks. Calculators are permitted.
This document provides information about an exam for Edexcel GCE Core Mathematics C3, including:
- Date and time of the exam
- Materials allowed/not allowed
- Instructions for candidates on writing details and showing working
- Information that full marks can be obtained and there are 8 questions
- Advice to candidates to clearly label answers and show sufficient working
It then lists the 8 exam questions on topics including simplifying expressions, differentiation, sketching graphs, modeling temperature change, solving equations, trigonometric identities, and finding derivatives.
This document contains instructions and questions for a mathematics exam. It includes:
- Instructions for students to write their name, center number, and candidate number.
- A formulae page that students cannot write on.
- 19 multiple choice and word problems testing skills in algebra, geometry, statistics, and financial mathematics.
- Directions for students to show their work, use calculators, and check their answers.
This document consists of a 12-page mathematics examination with 24 questions testing a variety of skills including algebra, geometry, trigonometry, and statistics. The exam covers topics such as standard form, simultaneous equations, constructions, sequences, and histograms.
1. The document provides instructions and questions for a mathematics exam. It includes 25 multiple choice and free response questions testing a range of math skills.
2. Questions cover topics like ratios, probabilities, geometry, algebra, trigonometry, and calculus. Students are asked to show working and justify answers.
3. Directions specify that students must write in black or blue ink, fill in personal information, and show steps for partial credit. Calculators and formulas are permitted but writing on the formula page is prohibited.
1. The document contains a mathematics exam paper with 21 multiple-choice and free-response questions covering topics like algebra, geometry, statistics, and trigonometry.
2. The exam is 2 hours long and students are provided with a formula sheet. They must show their work, use black or blue ink, and write their answers in the spaces provided.
3. The exam has a total of 100 marks and instructs students to answer all questions, showing the steps in their working. Calculators may be used.
0580 s14 qp_43,IB,HL,SL,Studies,MYP,PYP Maths Tutor in Exploration(IA) Help S...kondal reddy
ย
This document consists of a mathematics exam paper with 10 questions covering various topics in mathematics. The exam is 2 hours and 30 minutes long and contains 130 total marks. The questions cover topics such as algebra, geometry, trigonometry, statistics, and probability. Some of the questions involve solving equations, calculating areas and lengths, sketching graphs, working with vectors, and finding probabilities. The document provides the necessary figures, diagrams, and space for students to show their working and write their answers.
This document provides instructions for a mathematics exam. It tells students to write their identification information on all work, use blue or black pen with pencil for diagrams, and not to use staples or correction fluid. It lists the questions that must be answered and how to show working. Students should use calculators and give numerical answers to three significant figures unless otherwise specified. The total number of marks for the exam is 70.
This document contains instructions and questions for a GCSE mathematics exam. It begins by providing information such as the exam date, time, materials allowed, and total marks. It then lists 25 multiple choice and free response questions testing a variety of math skills, including algebra, geometry, probability, and more. Students are instructed to show their work, use the space provided for each question, and not use a calculator. The exam is 100 marks total and covers topics from Methods in Mathematics Unit 1 at the Higher Tier level.
1. This document contains instructions for candidates taking an exam on vectors and past paper questions arranged by topic. It provides details on the structure of the exam such as the number of questions, total marks, and materials allowed. It advises candidates to show working, work steadily through questions, and attempt all questions.
2. The document contains exam questions on vectors, including questions involving triangles, parallelograms, and points on line segments. Questions require expressing vectors in terms of given variables, finding midpoints, showing vectors are parallel, and other vector calculations. Diagrams are provided but are not necessarily accurately drawn.
3. Answers are to be written in the spaces provided in the exam paper, and additional
1. The document contains a mathematics exam paper with 22 multiple-choice and word problems.
2. It provides instructions for candidates to write their answers in the spaces provided and show all working.
3. The exam covers a range of mathematics topics including algebra, geometry, statistics, and trigonometry.
Temple of Asclepius in Thrace. Excavation resultsKrassimira Luka
ย
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).
A Visual Guide to 1 Samuel | A Tale of Two HeartsSteve Thomason
ย
These slides walk through the story of 1 Samuel. Samuel is the last judge of Israel. The people reject God and want a king. Saul is anointed as the first king, but he is not a good king. David, the shepherd boy is anointed and Saul is envious of him. David shows honor while Saul continues to self destruct.
This document provides an overview of wound healing, its functions, stages, mechanisms, factors affecting it, and complications.
A wound is a break in the integrity of the skin or tissues, which may be associated with disruption of the structure and function.
Healing is the bodyโs response to injury in an attempt to restore normal structure and functions.
Healing can occur in two ways: Regeneration and Repair
There are 4 phases of wound healing: hemostasis, inflammation, proliferation, and remodeling. This document also describes the mechanism of wound healing. Factors that affect healing include infection, uncontrolled diabetes, poor nutrition, age, anemia, the presence of foreign bodies, etc.
Complications of wound healing like infection, hyperpigmentation of scar, contractures, and keloid formation.
Chapter wise All Notes of First year Basic Civil Engineering.pptxDenish Jangid
ย
Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Beyond Degrees - Empowering the Workforce in the Context of Skills-First.pptxEduSkills OECD
ย
Ivรกn Bornacelly, Policy Analyst at the OECD Centre for Skills, OECD, presents at the webinar 'Tackling job market gaps with a skills-first approach' on 12 June 2024
This presentation was provided by Racquel Jemison, Ph.D., Christina MacLaughlin, Ph.D., and Paulomi Majumder. Ph.D., all of the American Chemical Society, for the second session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session Two: 'Expanding Pathways to Publishing Careers,' was held June 13, 2024.
BIOLOGY NATIONAL EXAMINATION COUNCIL (NECO) 2024 PRACTICAL MANUAL.pptx
ย
Transformations
1. Examinerโs use only
Team Leaderโs use only
Surname Initial(s)
Signature
Centre
No.
Turn over
Candidate
No.
Paper Reference(s)
1380/3H
Edexcel GCSE
Mathematics (Linear) โ 1380
Paper 3 (Non-Calculator)
Transformation
Past Paper Questions
Arranged by Topic
Materials required for examination Items included with question papers
Ruler graduated in centimetres and Nil
millimetres, protractor, compasses,
pen, HB pencil, eraser.
Tracing paper may be used.
Instructions to Candidates
In the boxes above, write your centre number, candidate number, your surname, initials and signature.
Check that you have the correct question paper.
Answer ALL the questions. Write your answers in the spaces provided in this question paper.
You must NOT write on the formulae page.
Anything you write on the formulae page will gain NO credit.
If you need more space to complete your answer to any question, use additional answer sheets.
Information for Candidates
The marks for individual questions and the parts of questions are shown in round brackets: e.g. (2).
There are 26 questions in this question paper. The total mark for this paper is 100.
There are 24 pages in this question paper. Any blank pages are indicated.
Calculators must not be used.
Advice to Candidates
Show all stages in any calculations.
Work steadily through the paper. Do not spend too long on one question.
If you cannot answer a question, leave it and attempt the next one.
Return at the end to those you have left out.
Lots more free papers at:
http://bland.in
Compiled by Peter Bland
*N34730A0124*
Paper Reference
1 3 8 0 3 H
3. Leave
blank
2.
y
8
7
6
5
4
3
2
1
O 1 2 3 4 5 6 7 8 9 10 x
P
Q
Describe fully the single transformation which maps shape P onto shape Q.
..............................................................................................................................................
.............................................................................................................................................. Q2
(Total 3 marks)
Lots more free past papers at http://bland.in
4. Leave
blank
3.
A
B
4 3 2 1 1 2 3 4 5 6 7
7
6
5
4
3
2
1
O
1
2
3
4
5
_ _ _ _
_
_
_
_
_
y
x
Triangle A and triangle B are drawn on the grid.
(a) Describe fully the single transformation which maps triangle A onto triangle B.
.......................................................................................................................................
.......................................................................................................................................
(3)
(b) Translate triangle A by the vector
3
0
.
Label the new triangle C.
(1) Q3
(Total 4 marks)
Lots more free past papers at http://bland.in
5. Leave
blank
4.
8
8
6
6
4
4
2
2O
โ2
โ2
โ4
โ4
โ6
โ6
โ8
โ8
y
x
(a) Rotate the shaded shape 90ยฐ clockwise about the point O.
(2)
4
2
3
1
Oโ4 โ2โ3 โ1 2 41 3
y
x
P
Q
(b) Describe fully the single transformation that will map shape P onto shape Q.
.......................................................................................................................................
(2) Q4
(Total 4 marks)
Lots more free past papers at http://bland.in
6. Leave
blank
5.
P
Triangle P has been drawn on a grid.
(a) On the grid, draw an enlargement of the triangle P with scale factor 3
(2)
Triangle Q has been drawn on a grid.
(b) On the grid, rotate triangle Q 90ยฐ clockwise, centre O.
(3) Q5
(Total 5 marks)
1
1
O
y
x
2
3
4
โ1
โ1
โ2
โ3
โ4
โ2โ3โ4 2 3 4
Q
Lots more free past papers at http://bland.in
7. Leave
blank
6.
(a) Rotate triangle P 180ยฐ about the point (โ1, 1).
Label the new triangle A.
(2)
(b) Translate triangle P by the vector .
Label the new triangle B.
(1)
x
y
6
5
4
3
2
1
โ1
โ2
โ3
โ4
โ5
โ6
โ6 โ5 โ4 โ3 โ2 โ1 O 1 2 3 4 5 6
P
6
1โ
โ
โ
โ
โ
โ
โ
Lots more free past papers at http://bland.in
8. Leave
blank
(c) Reflect triangle Q in the line y = x.
Label the new triangle C.
(2) Q6
(Total 5 marks)
x
y
5
4
3
2
1
1 2 3 4 5O
Q
y = x
Lots more free past papers at http://bland.in
9. Leave
blank
7.
(a) Reflect shape A in the y axis.
(2)
(b) Describe fully the single transformation which takes shape A to shape B.
.......................................................................................................................................
(3) Q7
(Total 5 marks)
2
3
4
5
โ1
โ2
โ3
โ4
โ5
1 2 3 4 5โ1โ2โ3โ4โ5 O x
y
A
B
1
Lots more free past papers at http://bland.in
10. Leave
blank
8.
Rotate the shape 90ยฐ clockwise, centre O. Q8
(Total 2 marks)
y
xOโ1 1
1
โ1
โ2
โ3
2
3
2 3 4โ2โ3โ4
Lots more free past papers at http://bland.in
11. Leave
blank
9.
On the grid, enlarge the shape with a scale factor of 2
1
, centre P. Q9
(Total 3 marks)
P
Lots more free past papers at http://bland.in
12. Leave
blank
10.
x
y
1 2 43 5
1
3
2
4
6O
A
โ1โ2โ3โ4โ5
โ1
โ4
โ3
โ2
7โ6โ7
5
6
โ5
โ6
(a) On the grid above, reflect shape A in the line x = 1
(2)
x
y
1 2 3 4 5
1
3
2
4
6Oโ1โ2โ3โ4โ5
โ1
โ3
โ2
5
Q
P
(b) Describe fully the single transformation that will map shape P onto shape Q.
.......................................................................................................................................
.......................................................................................................................................
(2)
Q10
(Total 4 marks)
Lots more free past papers at http://bland.in