This document provides instructions for a mathematics exam. It explains that students should use black ink or ballpoint pen, fill in personal information, and answer all questions. It notes the total mark for the exam is 100 and marks for each question are shown in brackets. It advises students to read questions carefully, keep track of time, try to answer every question, and check answers at the end. The document also includes a formulae page that students cannot write on.
The document provides instructions and information for a mathematics exam. It instructs students to use black ink, fill in personal details, and answer all questions. It notes the total mark is 100 and marks for each question are shown in brackets. Questions marked with an asterisk assess written communication. The document advises students to read questions carefully, keep track of time, and check answers.
The document provides instructions for a mathematics exam. It tells students to use black ink, fill in personal information, answer all questions, and show working. It notes the total marks, marks per question, and questions where writing quality is assessed. It advises students to read questions carefully, check time, try to answer every question, and check answers. The document contains no questions.
The document provides instructions for a mathematics exam. It instructs students to fill out their personal information, use black or blue ink, answer all questions in the spaces provided, and show their working. It notes the total marks for the paper is 60 and which questions require clear written communication. The document advises students to read questions carefully, keep track of time, try to answer every question, and check their work. It also includes a blank formulae page.
This document provides instructions for a mathematics exam. It begins by listing steps for completing the exam such as using black ink and answering all questions. It then provides information about the exam structure including the total marks, marks per question, and advice to read questions carefully. Finally, it includes a formulae page that students cannot write on and are provided for reference.
This document contains a multi-part math worksheet involving operations with decimals and place value. It includes exercises asking students to:
1) Round decimal numbers to varying places and illustrate on number lines
2) Convert between units like meters and centimeters using exponents
3) Compare and order decimal numbers
3) Express measurements in expanded form using fractions or decimals
The worksheet covers skills like multiplying and dividing by powers of ten, rounding, ordering, converting between units, and expressing decimals in expanded form - all essential skills for understanding decimals and place value.
This document is an educational booklet for 6th grade students in the Georgios Zoi School in Argiroupoli, Greece. It contains an introductory note addressing the students and thanking them and the school. It then provides information on natural numbers, even and odd numbers, the place value of digits, and examples of writing numbers in words and symbols. It includes exercises for students to practice concepts related to classifying, comparing, and manipulating numbers.
1. The document contains word problems involving multiplication and division of multi-digit numbers. It provides work for students to practice using standard algorithms and mental math strategies for solving problems.
2. Students are asked to solve problems by drawing area models, rounding factors, and using properties of operations. They also estimate products and solve multi-step word problems.
3. The goal is for students to gain fluency in using various calculation methods and be able to assess the reasonableness of their answers.
1. This document appears to be an exam paper for the Edexcel GCSE Methods in Mathematics exam. It provides instructions for students on how to complete the exam.
2. The exam consists of multiple choice and free response questions covering topics like operations with fractions, probability, geometry, and algebra. It is 1 hour and 45 minutes long.
3. Students are provided a formula sheet but are instructed not to write on it. Calculators are not permitted. Questions are worth varying point values adding up to a total of 100 points.
The document provides instructions and information for a mathematics exam. It instructs students to use black ink, fill in personal details, and answer all questions. It notes the total mark is 100 and marks for each question are shown in brackets. Questions marked with an asterisk assess written communication. The document advises students to read questions carefully, keep track of time, and check answers.
The document provides instructions for a mathematics exam. It tells students to use black ink, fill in personal information, answer all questions, and show working. It notes the total marks, marks per question, and questions where writing quality is assessed. It advises students to read questions carefully, check time, try to answer every question, and check answers. The document contains no questions.
The document provides instructions for a mathematics exam. It instructs students to fill out their personal information, use black or blue ink, answer all questions in the spaces provided, and show their working. It notes the total marks for the paper is 60 and which questions require clear written communication. The document advises students to read questions carefully, keep track of time, try to answer every question, and check their work. It also includes a blank formulae page.
This document provides instructions for a mathematics exam. It begins by listing steps for completing the exam such as using black ink and answering all questions. It then provides information about the exam structure including the total marks, marks per question, and advice to read questions carefully. Finally, it includes a formulae page that students cannot write on and are provided for reference.
This document contains a multi-part math worksheet involving operations with decimals and place value. It includes exercises asking students to:
1) Round decimal numbers to varying places and illustrate on number lines
2) Convert between units like meters and centimeters using exponents
3) Compare and order decimal numbers
3) Express measurements in expanded form using fractions or decimals
The worksheet covers skills like multiplying and dividing by powers of ten, rounding, ordering, converting between units, and expressing decimals in expanded form - all essential skills for understanding decimals and place value.
This document is an educational booklet for 6th grade students in the Georgios Zoi School in Argiroupoli, Greece. It contains an introductory note addressing the students and thanking them and the school. It then provides information on natural numbers, even and odd numbers, the place value of digits, and examples of writing numbers in words and symbols. It includes exercises for students to practice concepts related to classifying, comparing, and manipulating numbers.
1. The document contains word problems involving multiplication and division of multi-digit numbers. It provides work for students to practice using standard algorithms and mental math strategies for solving problems.
2. Students are asked to solve problems by drawing area models, rounding factors, and using properties of operations. They also estimate products and solve multi-step word problems.
3. The goal is for students to gain fluency in using various calculation methods and be able to assess the reasonableness of their answers.
1. This document appears to be an exam paper for the Edexcel GCSE Methods in Mathematics exam. It provides instructions for students on how to complete the exam.
2. The exam consists of multiple choice and free response questions covering topics like operations with fractions, probability, geometry, and algebra. It is 1 hour and 45 minutes long.
3. Students are provided a formula sheet but are instructed not to write on it. Calculators are not permitted. Questions are worth varying point values adding up to a total of 100 points.
This document provides instructions for a mathematics exam. It consists of 20 multiple choice and free response questions testing concepts like algebra, geometry, trigonometry, and probability. Students are instructed to show all work, use a calculator, write answers in degrees to one decimal place, and attach all work securely at the end.
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 to answer and working shown, and to use calculators. Answers should be to three significant figures unless specified otherwise and in degrees to one decimal place. Pi should be represented by the calculator value or 3.142. Secure all work at the end. Mark allocations are shown in brackets for each question or part. The total marks for the paper is 70. The paper consists of 12 printed pages.
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 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 to answer and working shown, and advises using calculators. Answers should be to three significant figures unless specified otherwise, and degrees to one decimal place. Pi should be represented by the calculator value or 3.142. Secure all work at the end. Mark allocations are shown in brackets for each question or part. The total marks are 70.
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.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing one's identification on work submitted and using a pen or pencil as specified. It provides the total number of marks for the exam and notes it is 2 hours and 30 minutes long. The document consists of 19 printed pages and materials allowed are a calculator, geometrical instruments, and optional tracing paper.
The document is a preliminary examination paper for Secondary 4/5 students in Jurongville Secondary School. It consists of 22 questions on elementary mathematics covering topics like mensuration, algebra, trigonometry, statistics, and coordinate geometry. The paper is 80 marks and students are instructed to show working for questions where necessary. They are provided with relevant formulas and given 2 hours to complete the exam.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 20 multiple choice and written response questions testing a variety of math skills, including:
- Currency conversion with exchange rates
- Probability
- Geometry, such as finding areas and volumes
- Algebra, including solving equations and factorizing expressions
- Trigonometry, such as calculating values of trig functions
- Set theory and Venn diagrams
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing your identification on work, using blue or black pen, and showing working for questions. It then provides information about the exam such as its total marks and duration. Finally, it lists the questions that will be answered on the exam paper. The document consists of 16 printed pages and is approved for use in an examination.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing your identification on work submitted and using a pen or pencil. It provides exam details such as the total number of marks and duration. The document consists of 12 printed pages and contains questions on topics including algebra, geometry, sequences, financial mathematics, and statistics. Candidates are to show their working and give answers to an appropriate degree of accuracy.
This document provides instructions for a mathematics exam. It consists of 19 printed pages and 1 blank page. Candidates are instructed to write their details on submitted work, use dark ink or pencil for diagrams, and not to use staples or correction fluid. They are told to answer all questions, show working for questions requiring it, and use electronic calculators. Answers should be given to three significant figures unless specified otherwise. The total marks for the exam is 130.
This document consists of a mathematics exam for the International General Certificate of Secondary Education. It contains 10 questions testing a variety of math skills, including algebra, geometry, statistics, and trigonometry. The exam has a total of 130 marks and is designed to be completed in 2 hours and 30 minutes. Candidates are instructed to show their working and communicate their answers clearly using appropriate units where specified. Calculators are permitted.
Here are the steps to arrange the fractions in increasing order:
1) 1/2
2) 1/3
3) 1/4
4) 1/5
5) 1/6
And in decreasing order:
1) 7/7
2) 4/7
3) 3/7
4) 2/7
5) 1/7
The document is a table of contents for a mathematics textbook for third grade students in the Philippines. It lists 46 lessons on topics like multiplication, division, properties of operations, and solving word problems involving these operations. The document also provides information about copyright and permissions for using materials in the book. It was developed by the Department of Education of the Republic of the Philippines.
Math1 no restrictionLOYOLA JESUIT, ABUJA PAST QUESTIONS PAPERS maths PAPER 2Philip Alabi
The document contains 61 math and word problems with answers. It tests a variety of skills including addition, subtraction, multiplication, division, percentages, ratios, time, measurement, geometry and logic puzzles. The problems range from very basic arithmetic to more complex multi-step word problems.
Math2 no restrictionLOYOLA JESUIT, ABUJA PAST QUESTIONS PAPERS maths PAPER 2Philip Alabi
This document contains a series of math word problems and questions. It asks the reader to solve multi-step calculations, identify patterns, perform fractions and percentages, calculate areas, speeds, and times. It also includes bar graph interpretation questions. The overall document is assessing mathematical skills and problem solving abilities.
This document is an exam for the International General Certificate of Secondary Education in Mathematics. It consists of 12 printed pages and contains 26 multiple choice and written response questions testing a variety of math skills. Students have 1 hour and 30 minutes to complete the exam, which is out of a total of 70 marks. They must show their work, use calculators where appropriate, and write answers in terms of significant figures or degrees where specified.
This document provides instructions for a mathematics exam. It consists of 16 printed pages. Candidates are to write their identification details on all work submitted and use dark blue or black pen, reserving pencil for diagrams. Staples, paper clips, markings and corrections are not permitted. The questions cover a range of mathematics topics and must all be answered. Calculators should be used and answers provided to an appropriate degree of accuracy. The total number of marks for the exam is 130.
1. The document provides instructions for a mathematics exam, including instructions to write details on work submitted, use specific pens and pencils, and not to use staples or correction fluid.
2. Candidates are told to answer all questions, show working for questions where needed, and use electronic calculators. Answers should be given to three significant figures unless otherwise specified.
3. The document consists of 16 printed pages and the total number of marks for the exam is 130.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing the candidate number and name, using blue or black pen, and not using staples or paper clips. It then provides details about the exam such as answering all questions, showing working, using an electronic calculator, and giving answers to three significant figures. The document lists the total number of marks as 56 and provides 10 printed exam pages.
This document contains instructions and questions for a GCSE mathematics exam. It begins by providing spaces for students to write their name, center number, and candidate number. It then provides instructions for the exam, information about marking, and advice for students. The exam contains 14 multiple-choice questions testing a variety of math skills like data collection, calculations, problem solving, geometry, and more.
This document provides instructions for a mathematics exam. It consists of 20 multiple choice and free response questions testing concepts like algebra, geometry, trigonometry, and probability. Students are instructed to show all work, use a calculator, write answers in degrees to one decimal place, and attach all work securely at the end.
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 to answer and working shown, and to use calculators. Answers should be to three significant figures unless specified otherwise and in degrees to one decimal place. Pi should be represented by the calculator value or 3.142. Secure all work at the end. Mark allocations are shown in brackets for each question or part. The total marks for the paper is 70. The paper consists of 12 printed pages.
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 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 to answer and working shown, and advises using calculators. Answers should be to three significant figures unless specified otherwise, and degrees to one decimal place. Pi should be represented by the calculator value or 3.142. Secure all work at the end. Mark allocations are shown in brackets for each question or part. The total marks are 70.
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.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing one's identification on work submitted and using a pen or pencil as specified. It provides the total number of marks for the exam and notes it is 2 hours and 30 minutes long. The document consists of 19 printed pages and materials allowed are a calculator, geometrical instruments, and optional tracing paper.
The document is a preliminary examination paper for Secondary 4/5 students in Jurongville Secondary School. It consists of 22 questions on elementary mathematics covering topics like mensuration, algebra, trigonometry, statistics, and coordinate geometry. The paper is 80 marks and students are instructed to show working for questions where necessary. They are provided with relevant formulas and given 2 hours to complete the exam.
This document is an exam for the International General Certificate of Secondary Education in mathematics. It consists of 20 multiple choice and written response questions testing a variety of math skills, including:
- Currency conversion with exchange rates
- Probability
- Geometry, such as finding areas and volumes
- Algebra, including solving equations and factorizing expressions
- Trigonometry, such as calculating values of trig functions
- Set theory and Venn diagrams
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing your identification on work, using blue or black pen, and showing working for questions. It then provides information about the exam such as its total marks and duration. Finally, it lists the questions that will be answered on the exam paper. The document consists of 16 printed pages and is approved for use in an examination.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing your identification on work submitted and using a pen or pencil. It provides exam details such as the total number of marks and duration. The document consists of 12 printed pages and contains questions on topics including algebra, geometry, sequences, financial mathematics, and statistics. Candidates are to show their working and give answers to an appropriate degree of accuracy.
This document provides instructions for a mathematics exam. It consists of 19 printed pages and 1 blank page. Candidates are instructed to write their details on submitted work, use dark ink or pencil for diagrams, and not to use staples or correction fluid. They are told to answer all questions, show working for questions requiring it, and use electronic calculators. Answers should be given to three significant figures unless specified otherwise. The total marks for the exam is 130.
This document consists of a mathematics exam for the International General Certificate of Secondary Education. It contains 10 questions testing a variety of math skills, including algebra, geometry, statistics, and trigonometry. The exam has a total of 130 marks and is designed to be completed in 2 hours and 30 minutes. Candidates are instructed to show their working and communicate their answers clearly using appropriate units where specified. Calculators are permitted.
Here are the steps to arrange the fractions in increasing order:
1) 1/2
2) 1/3
3) 1/4
4) 1/5
5) 1/6
And in decreasing order:
1) 7/7
2) 4/7
3) 3/7
4) 2/7
5) 1/7
The document is a table of contents for a mathematics textbook for third grade students in the Philippines. It lists 46 lessons on topics like multiplication, division, properties of operations, and solving word problems involving these operations. The document also provides information about copyright and permissions for using materials in the book. It was developed by the Department of Education of the Republic of the Philippines.
Math1 no restrictionLOYOLA JESUIT, ABUJA PAST QUESTIONS PAPERS maths PAPER 2Philip Alabi
The document contains 61 math and word problems with answers. It tests a variety of skills including addition, subtraction, multiplication, division, percentages, ratios, time, measurement, geometry and logic puzzles. The problems range from very basic arithmetic to more complex multi-step word problems.
Math2 no restrictionLOYOLA JESUIT, ABUJA PAST QUESTIONS PAPERS maths PAPER 2Philip Alabi
This document contains a series of math word problems and questions. It asks the reader to solve multi-step calculations, identify patterns, perform fractions and percentages, calculate areas, speeds, and times. It also includes bar graph interpretation questions. The overall document is assessing mathematical skills and problem solving abilities.
This document is an exam for the International General Certificate of Secondary Education in Mathematics. It consists of 12 printed pages and contains 26 multiple choice and written response questions testing a variety of math skills. Students have 1 hour and 30 minutes to complete the exam, which is out of a total of 70 marks. They must show their work, use calculators where appropriate, and write answers in terms of significant figures or degrees where specified.
This document provides instructions for a mathematics exam. It consists of 16 printed pages. Candidates are to write their identification details on all work submitted and use dark blue or black pen, reserving pencil for diagrams. Staples, paper clips, markings and corrections are not permitted. The questions cover a range of mathematics topics and must all be answered. Calculators should be used and answers provided to an appropriate degree of accuracy. The total number of marks for the exam is 130.
1. The document provides instructions for a mathematics exam, including instructions to write details on work submitted, use specific pens and pencils, and not to use staples or correction fluid.
2. Candidates are told to answer all questions, show working for questions where needed, and use electronic calculators. Answers should be given to three significant figures unless otherwise specified.
3. The document consists of 16 printed pages and the total number of marks for the exam is 130.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing the candidate number and name, using blue or black pen, and not using staples or paper clips. It then provides details about the exam such as answering all questions, showing working, using an electronic calculator, and giving answers to three significant figures. The document lists the total number of marks as 56 and provides 10 printed exam pages.
This document contains instructions and questions for a GCSE mathematics exam. It begins by providing spaces for students to write their name, center number, and candidate number. It then provides instructions for the exam, information about marking, and advice for students. The exam contains 14 multiple-choice questions testing a variety of math skills like data collection, calculations, problem solving, geometry, and more.
1) The document is a mark scheme for GCSE Mathematics (Linear) 1MA0 Higher (Calculator) Paper 2H exam from Summer 2012.
2) It provides notes on marking principles for examiners, such as marking all candidates equally, awarding marks for correct working shown, and following standard procedures around parts of questions and probability answers.
3) The mark scheme then provides detailed guidance on marking for each question, including expected methods, intermediate working, and final answers for full marks.
The document provides a mark scheme for a GCSE mathematics exam. It outlines the general marking guidance which instructs examiners to mark candidates positively and award full marks for deserved answers. It also notes specific codes used within the mark scheme to indicate different types of marks. The bulk of the document consists of a question-by-question breakdown of 15 exam questions, providing the expected answers, marks allocated, and detailed guidance on awarding marks for work shown.
The document is a mark scheme for GCSE Mathematics (2MB01) Foundation 5MB2F (Non-Calculator) Paper 01 exam from March 2012. It provides notes on marking principles and guidance for how to apply marks for specific types of questions and responses. It also includes worked examples showing the breakdown of method and accuracy marks for sample multi-step questions.
1. The document is a mark scheme for GCSE Mathematics (2MB01) Higher exam paper 5MB3H (Calculator) Paper 01 from November 2012.
2. It provides notes on marking principles for the exam and details the marking criteria for each question on the paper, including the working required to earn marks.
3. The mark scheme aims to ensure all candidates receive fair and consistent marking according to the standards outlined and awards marks for correct working even if the final answer is incorrect.
This document contains the mark scheme for a mathematics exam involving several multi-part questions.
In question 1, students could earn up to 3 marks for correctly factorizing a quadratic expression in one or two steps.
Question 2 was worth up to 2 marks for correctly writing the equation of a straight line in y=mx+c form.
Question 3 involved solving equations and inequalities across three parts, with a total of 6 available marks through setting up and solving the relevant expressions.
The remaining questions addressed topics including arithmetic and geometric sequences, calculus, coordinate geometry, and quadratic functions. Students could earn marks for setting up correct expressions and equations and obtaining the right numerical or algebraic solutions at each stage.
1. The document provides instructions for a GCSE mathematics exam, including information about the structure, time allowed, materials permitted and formulas.
2. It instructs students to write their name, center number and candidate number in the boxes at the top of the page.
3. Students are advised to read questions carefully, try to answer every question, check answers at the end and use the time guide for each question.
1) Edexcel is an examining and awarding body that provides qualifications worldwide. It supports centers that offer education programs to learners through a network of UK and international offices.
2) Candidates' work will be marked according to principles such as marking positively and awarding all marks deserved according to the mark scheme. Subject specialists are available to help with specific content questions.
3) The document provides notes on marking principles for a GCSE mathematics exam, including how to apply the mark scheme and address various student responses.
This document provides a mark scheme for a modular mathematics GCSE exam from June 2011. It outlines the general principles that examiners should follow when marking answers, such as awarding full marks for correct responses. It then provides specific guidance on marking for each question on the exam, including what constitutes correct working and answers. The document is published by Edexcel, an examining and awarding body, to ensure consistency in how examiners apply the marking criteria.
1. This document contains a math exam with 31 questions testing various math skills like algebra, geometry, statistics, and problem solving.
2. The exam is broken into questions with points allocated for each part. An assessment sheet is provided to track points earned for each question.
3. The questions range in difficulty from basic operations to multi-step word problems. Various math concepts are covered, including fractions, ratios, graphs, equations, probability, and more.
The document is a mark scheme for GCSE Mathematics (2MB01) Higher 5MB2H (Non-Calculator) Paper 01 exam from March 2012. It provides notes on marking principles and guidance for examiners on how to apply the mark scheme and award marks for questions 1 through 9 on the exam. The summary includes key details about the document type and content while being concise in 3 sentences or less.
5th sessions of a structured revision course for core 1 maths exam - diffe...claire meadows-smith
The document outlines a structured revision programme for a Core 1 math exam. It provides the dates for 6 revision sessions covering topics like differentiation, equations of tangents and normals, stationary points, and increasing and decreasing functions. It also lists exam practice dates and resources like a revision website and mobile app to support students' preparation for the Core 1 exam.
This document contains a mark scheme for a GCSE mathematics exam. It provides guidance for examiners on how to apply marks for different parts of student responses. Some key points include:
1) Examiners must mark all students equally and reward students for what they show they can do rather than penalize for omissions.
2) Full marks should be awarded if the answer matches the mark scheme.
3) Working should be considered, even if the final answer is incorrect, to award method marks where appropriate.
4) Follow through marks can be awarded if subsequent working is based on a previous correct response.
5) Marks cannot be awarded for one part of a question in another part
3 revision session for core 1 translations of graphs, simultaneous equation...claire meadows-smith
The Community Maths School has structured a revision programme to prepare students for the Core 1 exam. The programme is based on the AQA AS exam but is suitable for most boards. Over six revision sessions in March and April, the school will provide hints, exam solutions, and practice questions on topics like translations of graphs, simultaneous equations, and inequalities. Additional exam practice sessions will be held in May to help students for the Core 1 exam on May 19th.
This document provides the mark scheme and answers for the Edexcel Decision Mathematics D1 exam from January 2013. It lists the questions, marks allocated, and model answers or marking points for each part. The exam consisted of multiple-choice, short answer, and multi-step word problems involving topics like linear programming, networks, and critical path analysis. The highest number of marks available for a single question was 8 marks for question 3. In total, the exam was worth 76 marks.
The document provides instructions for a mathematics exam. It instructs students to fill out their personal information, use black ink, answer all questions, show working, and check answers if there is time. It notes the total marks, marks per question, and questions marked with an asterisk will be assessed for written communication quality. Finally, it advises students to read questions carefully, keep track of time, try to answer every question, and check answers if possible. This summary captures the key details about the exam instructions and format in 3 sentences.
This document provides the final mark scheme for Edexcel's Core Mathematics C1 exam from January 2012. It lists the questions, schemes for awarding marks, and total marks for each question. The six mark questions cover topics like algebra, inequalities, coordinate geometry, and calculus. The longer questions involve multi-step problems applying these concepts, including sketching curves, finding equations of tangents and normals, and solving word problems involving formulas.
This document provides instructions and information for a practice GCSE mathematics exam. It outlines what materials are allowed, how to answer questions, how marks are allocated, and advice for taking the test. The exam contains 20 multiple-choice and written-response questions testing a range of math skills, including algebra, geometry, statistics, and transformations. It is 80 marks total and lasts 1 hour and 30 minutes.
1. This document provides instructions and information for a 1 hour 45 minute GCSE Mathematics exam. It includes the materials allowed, instructions on how to answer questions, information about marking, and advice for taking the exam.
2. The exam consists of 26 multiple choice questions covering a range of mathematics topics. Calculators are permitted. Students must show their working.
3. The total mark for the exam is 100. Questions marked with an asterisk assess written communication. Students should take care with spelling, punctuation, grammar, and clarity of expression on these questions.
This document is the cover page and instructions for a 1 hour 45 minute GCSE Mathematics exam. It provides information such as the materials allowed, instructions for completing the exam, exam structure, and advice for students. The exam consists of 27 multiple choice and free response questions testing a variety of math skills, including algebra, geometry, statistics, and trigonometry. Students are advised to read questions carefully, watch the time, attempt all questions, and check their work. Calculators are not permitted.
This document consists of 18 printed pages and 2 blank pages related to a mathematics exam. It includes 8 multi-part questions covering topics such as ratios, cumulative frequency diagrams, geometry, trigonometry, functions, and vectors. The total number of marks for this paper is 130.
This document provides instructions for a mathematics exam. It tells students to write their identification details on all work, use blue or black pen with a pencil for diagrams, and not to use staples or correction fluid. It lists the total number of marks as 130 and outlines the structure of the exam. Students are told to answer all questions, show working for questions requiring it, and give answers to three significant figures or one decimal place as specified. They are also provided mathematical constants and tools like a calculator or geometrical instruments to use.
1. This document contains instructions for candidates taking an Edexcel GCSE Mathematics exam. It provides information such as the exam paper reference, materials allowed, instructions to candidates, and advice to candidates.
2. The exam contains 26 multiple choice questions across 24 pages testing topics in algebra. Candidates must show working, work steadily through questions, and attempt all questions.
3. Calculators are not permitted for the exam. Candidates should show all working in calculations and return to any questions left unfinished at the end.
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.
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.
0580 s14 qp_43,IB,HL,SL,Studies,MYP,PYP Maths Tutor in Exploration(IA) Help S...kondal reddy
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 contains a mathematics exam paper consisting of 24 questions. It provides instructions for candidates on how to answer the questions, what materials are allowed, and information about marking. The questions cover a range of mathematics topics, including algebra, graphs, probability, geometry and trigonometry. Candidates are required to show their working and communicate their answers clearly in the spaces provided. The total mark for the paper is 100.
This document provides a math review for an upcoming exam. It includes [1] converting numbers between Egyptian, Chinese, and Mayan numerals, [2] matching sequences to their rules, [3] finding areas and perimeters of shapes, [4] calculating interest, [5] writing algebraic expressions, and [6] evaluating expressions. Students need to study lessons from class to prepare for the exam.
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) 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.
The document provides instructions for creating a grid drawing using a photograph or other image. It involves the following steps:
1) Choosing an original image smaller than 5x7 inches. 2) Gridding the original by either taping a plastic grid over it or drawing grid lines directly on the image. 3) Determining the size of grid squares using a provided flow chart. 4) Drawing corresponding grid lines on drawing paper. 5) Lightly sketching the grid pattern and outlines of objects square by square. 6) Adding tonal values with pencils and blending techniques. 7) Signing and submitting the completed drawing for grading.
This document provides instructions for a mathematics exam. It consists of 3 sentences:
Begin your response with the question number in brackets. Answer all questions and show your working. The total marks for the exam is 70.
Here are the steps to solve 2(x – 3) using algebra tiles:
Draw x and –3 tiles. Then place 2 sets of those tiles side by side.
x –3 x –3
Group the like tiles.
2x –6
So, 2(x – 3) = 2x – 6
The distributive property allows you to multiply a single term outside parentheses over each term inside. This is the same process as using algebra tiles to model the multiplication.
1. Use the distributive property to write each expression as a single term.
a) 4(x + 3) = _____________________ b) 3(2x
This document contains a 14 question math exam with questions covering various topics including trigonometry, algebra, geometry, and calculus. The exam has a total of 58 marks. Each question is broken down into parts and shows the working and/or final answers. Marking schemes are provided showing the number of marks allocated to each part.
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.
This document provides instructions for a mathematics exam. It begins by listing instructions such as writing one's identification on work submitted and using a pen or pencil. It specifies the exam duration, total marks, and that calculators should be used. Questions may require showing working. Answers should be to three significant figures unless specified otherwise. The document consists of 10 printed pages and 2 blank pages.
This document is an 18-page specimen paper for the Cambridge IGCSE Mathematics exam. It contains 9 questions testing a range of math skills, including: solving equations, ratios, percentages, trigonometry, transformations, and graphing. Students are instructed to show all working and give answers to an appropriate degree of accuracy. The paper is out of a total of 104 marks.
The document lists topics that could be assessed on the last of three papers, including: algebra, sequences, equations, graph transformations, functions, geometry concepts like area, volume, scale factors and shapes, trigonometry, vectors, and data/probability topics such as averages, graphs, and diagrams. Key mathematical areas covered are numbers, algebra, geometry, trigonometry, vectors, and statistics.
This document lists potential topics that could be assessed on the last foundation paper, including algebra, geometry, trigonometry, statistics, and probability concepts. Some examples are LCM and HCF, BIDMAS, exchange rates, coordinates and midpoints, volume and surface area, angles, arcs and sectors using trigonometry, speed-time graphs, averages, Venn diagrams, and two-way tables.
This document provides an acronym "A ripe forest" to help with persuasive writing techniques. It lists persuasive writing elements such as anecdotes, repetition, imperatives, pronouns, exaggeration, facts, opinions, rhetorical questions, emotive language, statistics, and triples. It notes you wouldn't use all of these but should choose the most appropriate for the task and remember purpose, audience, language, and layout.
This document provides a list of structural elements that may be present in a writing sample, including changes in time, place, sentence structure, focus, setting, and order. It identifies patterns, dialogue, flashbacks, sentence length, introductions, climaxes, conclusions, contrasts, and other techniques that reveal how a text is organized and what occurs within it.
This document provides an outline for a GCSE revision session taking place in June 2017. The session includes 6 activities to help students understand exam topics and develop effective revision strategies. Students will analyze exam extracts, consolidate language skills, review persuasive writing techniques, choose individual writing activities, discuss exam strategies, and create a personal revision plan. Useful revision tips and websites are also provided to support students in their preparation for the upcoming GCSE exams.
1. The document provides revision notes and ideas for various science topics organized into different units including fitness and health, human health and diet, staying healthy, the nervous system, drugs, staying in balance, controlling plant growth, and variation and inheritance.
2. Each topic within the units outlines key information to revise and provides one or two revision ideas such as making flashcards, designing experiments or diagrams, producing posters or leaflets, or developing question and answer activities.
3. Some common themes across the topics include the human body systems, health and disease, genetics, plant science, chemicals and their reactions, and polymers. The information and revision suggestions are aimed at different grade levels from E to A.
The document advertises "GradeBooster" classes that aim to improve exam grades through one-day or two-day master classes costing £180 and £300 respectively. The classes will take place at Kesgrave Community Centre on May 30th and 31st and in Bury St. Edmunds on June 1st and 2nd. Additional "Maths drop-in" sessions costing £20 per session or £30 for all three will be held on various Wednesdays and Mondays in May and June to provide extra math help for the GradeBooster classes.
This document contains a series of 21 math questions with explanations and worked examples. The questions cover topics like time, distance, rate, money, graphs, conversions between units, straight line graphs, and coordinate geometry. For each question, the number of marks available is provided. This appears to be a practice exam or set of worksheet problems for a math course.
The document provides examiners' reports and mark schemes for 21 math exam questions:
1) Question 1 involved subtracting times on a travel graph. Most students successfully subtracted the times, though some struggled with converting minutes to hours.
2) Questions 2-7 covered topics like travel graphs, percentages, sponsorship amounts, and staged charging structures. Most students answered parts of these questions correctly, though some made errors in calculations or failed to show their work.
3) Questions 8-21 covered a range of math topics from currency conversions to graphing lines. Many students struggled with interpreting scales accurately and converting between units consistently. Common errors included incorrect values, plotting points inaccurately, and failing to show steps in solutions
This document contains 22 math questions with explanations and worked examples related to topics like pie charts, percentages, ratios, time, money, operations, geometry, and measurement. The questions range from 1 to 7 marks and cover skills such as interpreting data in tables and charts, calculating percentages, solving word problems involving rates and time, using scales on maps, and calculating bearings and distances on diagrams.
This document contains examiners' reports on 22 math exam questions:
- Many students had difficulty drawing accurate pie charts and calculating percentages, angles, and sectors. Use of protractors was inconsistent.
- Bearings, scale drawings, and conversions between units also posed challenges. Accuracy was an issue.
- Multi-step word problems involving rates, proportions, or staged charging structures caused errors, as students struggled with understanding the concepts.
- Familiar topics like addition, subtraction, multiplication were generally answered correctly, but negatives signs and order of operations led to mistakes.
- Pythagoras' theorem, trigonometry including bearings were attempted, but understanding was sometimes lacking, leading to inaccurate responses.
This document summarizes examiners' reports on questions from a math exam. Key points include:
- For question 2, many students found the correct length using Pythagoras' theorem but some made mistakes in algebra. Others started correctly with trigonometry but could not continue.
- Question 5 caused issues as some students subtracted rather than added when using Pythagoras' theorem, losing accuracy.
- Question 6 stumped many students who did not recognize it as a trigonometry problem. Few managed the full correct solution.
- Question 8 was generally answered poorly with many not understanding how to factorize or change the subject of a formula.
- Question 10 saw the preferred method of finding side lengths
This document provides a list of useful websites for spelling, grammar, language devices, general writing practice, and revision techniques. Key resources include sites run by Aylsham High School, OCR, and Kent Schools that offer guides to spelling, punctuation, grammar, sentence starters, and vocabulary. YouTube channels like Mr. Bruff provide videos explaining AQA exam question structures. Other sites provide quizzes on ambitious vocabulary, as well as general writing packs and mind mapping tools to support creative revision practices.
Check the exam details and come prepared with the necessary equipment. Listen carefully to the instructions and time each question to move on if you exceed the allotted time. Read questions multiple times and highlight key words. Consider your reading approach and read the entire text. Plan for essay questions and stick to the outline while writing for the intended purpose and audience. Use techniques you've practiced and revision guides for advice.
The document provides various revision tips for students preparing for exams. It recommends creating a revision plan and sticking to a schedule that increases revision time as exams approach. Students should start revising early instead of cramming last minute. Taking regular breaks is also suggested to avoid burnout. The tips include organizing notes by subject, using memory techniques like mnemonics and flashcards, getting tested by others, and practicing past essays and short plans under timed conditions.
This document contains 18 math questions with varying levels of difficulty related to topics like Pythagoras' theorem, percentages, proportions, geometry, and financial calculations. The questions provide worked examples, diagrams, and multi-step word problems for students to practice solving. Scores are provided after each question indicating the total marks available for getting the problem correct.
The examiner's report discusses common mistakes students made on several math exam questions involving Pythagoras' theorem and trigonometry. For questions about right triangles, many students doubled instead of squaring lengths, added lengths instead of squaring and adding them, or subtracted squares. On questions involving finding perimeters or diameters of shapes, some students incorrectly found areas instead. The report provides insight into where additional instruction is needed, such as understanding differences between areas and perimeters, and properly applying trigonometric functions and formulas.
The document discusses the experiences of three former students - Luke, Jamie, and Millie - who received tutoring from the Community Schools. Luke is now studying Computer Science at the University of Warwick after receiving tutoring helped him achieve an A in AS Further Maths and an A* in Maths A Level. Jamie is studying Architecture at the University of Sheffield, where tutoring helped him improve his Maths A Level grade from a B to an A. Millie is studying Biomedical Science at Nottingham University, where tutoring helped her pass her A Level Maths exams.
1. Instructions
• Use black ink or ball-point pen.
• Fill in the boxes at the top of this page with your name,
• centre number and candidate number.
• Answer all questions.
• Answer the questions in the spaces provided
– there may be more space than you need.
• Calculators must not be used.
Information
• The total mark for this paper is 100
• The marks for each question are shown in brackets
– use this as a guide as to how much time to spend on each question.
• Questions labelled with an asterisk (*) are ones where the quality of your written
communication will be assessed.
Advice
• Read each question carefully before you start to answer it.
• Keep an eye on the time.
• Try to answer every question.
2. • Check your answers if you have time at the end.
2
3. GCSE Mathematics (Linear) 1MA0
Formulae: Higher Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.
1
Volume of prism = area of cross section × length Area of trapezium = 2 (a + b)h
Volume of sphere 4 πr3
3 Volume of cone 1 πr2h
3
Surface area of sphere = 4πr2 Curved surface area of cone = πrl
In any triangle ABC The Quadratic Equation
The solutions of ax2+ bx + c = 0
where a ≠ 0, are given by
− b ± (b 2 − 4ac)
x=
2a
a b c
Sine Rule = =
sin A sin B sin C
Cosine Rule a2 = b2+ c2– 2bc cos A
1
Area of triangle = 2 ab sin C
3
4. Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
You must NOT use a calculator.
1. Here are the ingredients needed to make 16 gingerbread men.
Ingredients
to make 16 gingerbread men
180 g flour
40 g ginger
110 g butter
30 g sugar
Hamish wants to make 24 gingerbread men.
Work out how much of each of the ingredients he needs.
..........................................................g flour
.......................................................g ginger
........................................................g butter
.........................................................g sugar
(Total for Question 1 is 3 marks)
4
5. _____________________________________________________________________________
_
2. The scatter graph shows information about the height and the arm length of each of 8 students in
Year 11.
(a) What type of correlation does this scatter graph show?
..............................................................
(1)
A different student in Year 11 has a height of 148 cm.
(b) Estimate the arm length of this student.
..............................................................cm
(2)
5
6. (Total for Question 2 is 3 marks)
_____________________________________________________________________________
_
6
7. *3. Here is part of Gary’s electricity bill.
Electricity bill
New reading 7155 units
Old reading 7095 units
Price per unit 15p
Work out how much Gary has to pay for the units of electricity he used.
(Total for Question 3 is 4 marks)
_____________________________________________________________________________
_
7
8. 4. Alison wants to find out how much time people spend reading books.
She is going to use a questionnaire.
Design a suitable question for Alison to use in her questionnaire.
(Total for Question 4 is 2 marks)
_____________________________________________________________________________
_
31×9.87
5. Work out an estimate for
0.509
..............................................
(Total for Question 5 is 3 marks)
8
10. 6.
Describe fully the single transformation that maps shape P onto shape Q.
...........................................................................................................................................................
.
...........................................................................................................................................................
.
(Total for Question 6 is 3 marks)
_____________________________________________________________________________
_
10
11. 7. Here is a diagram of Jim’s garden.
Jim wants to cover his garden with grass seed to make a lawn.
Grass seed is sold in bags.
There is enough grass seed in each bag to cover 20 m2 of garden.
Each bag of grass seed costs £4.99
Work out the least cost of putting grass seed on Jim’s garden.
£ .........................................................
(Total for Question 7 is 4 marks)
11
13. 8. There are only red counters, blue counters, white counters and black counters in a bag.
The table shows the probability that a counter taken at random from the bag will be red or blue.
Colour red blue white black
Probability 0.2 0.5
The number of white counters in the bag is the same as the number of black counters in the bag.
Tania takes at random a counter from the bag.
(a) Work out the probability that Tania takes a white counter.
...................................................
(2)
There are 240 counters in the bag.
(b) Work out the number of red counters in the bag.
...................................................
(2)
(Total for Question 8 is 4 marks)
_____________________________________________________________________________
_
13
14. 9. The diagram shows a prism.
Work out the volume of the prism.
...................................................cm3
(Total for Question 9 is 3 marks)
14
16. 10. Here is a map.
The map shows two towns, Burford and Hightown.
Scale: 1 cm represents 10 km
A company is going to build a warehouse.
The warehouse will be less than 30 km from Burford and less than 50 km from Hightown.
Shade the region on the map where the company can build the warehouse.
(Total for Question 10 is 3 marks)
_____________________________________________________________________________
_
16
18. 12 . The diagram shows a circle drawn inside a square.
The circle has a radius of 6 cm.
The square has a side of length 12 cm.
Work out the shaded area.
Give your answer in terms of π.
.......................................................cm2
(Total for Question 12 is 3 marks)
_____________________________________________________________________________
_
18
19. *13. Talil is going to make some concrete mix.
He needs to mix cement, sand and gravel in the ratio 1 : 3 : 5 by weight.
Talil wants to make 180 kg of concrete mix.
Talil has
15 kg of cement
85 kg of sand
100 kg of gravel
Does Talil have enough cement, sand and gravel to make the concrete mix?
(Total for Question 13 is 4 marks)
_____________________________________________________________________________
_
19
20. 14. The bearing of a ship from a lighthouse is 050°
Work out the bearing of the lighthouse from the ship.
..............................................°
(Total for Question 14 is 2 marks)
_____________________________________________________________________________
_
15. (a) Simplify m5 ÷ m3
.................................................
(1)
(b) Simplify 5x4y3 × x2y
.................................................
(2)
(Total for Question 15 is 3 marks)
20
22. 16. The diagram shows a triangle.
In the diagram, all the measurements are in metres.
The perimeter of the triangle is 56 m.
The area of the triangle is A m2.
Work out the value of A.
.............................................
(Total for Question 16 is 4 marks)
_____________________________________________________________________________
_
22
23. 17. The lines y = x – 2 and x + y = 10 are drawn on the grid.
On the grid, mark with a cross (×) each of the points with integer coordinates that are in the
region defined by
y>x–2
x + y < 10
x>3
(Total for Question 17 is 3 marks)
_____________________________________________________________________________
_
23
24. 18. The diagram shows part of a pattern made from tiles.
The pattern is made from two types of tiles, tile A and tile B.
Both tile A and tile B are regular polygons.
Work out the number of sides tile A has.
.................................................
(Total for Question 18 is 4 marks)
24
26. 19. Sameena recorded the times, in minutes, some girls took to do a jigsaw puzzle.
Sameena used her results to work out the information in this table.
Minutes
Shortest time 18
Lower quartile 25
Median 29
Upper quartile 33
Longest time 44
(a) On the grid, draw a box plot to show the information in the table.
(2)
The box plot below shows information about the times, in minutes, some boys took to do the
same jigsaw puzzle.
(b) Compare the distributions of the girls’ times and the boys’ times.
....................................................................................................................................................
.
....................................................................................................................................................
.
....................................................................................................................................................
.
....................................................................................................................................................
.
26
27. (2)
(Total for Question 19 is 4 marks)
_____________________________________________________________________________
_
27
28. 20. Write the following numbers in order of size.
Start with the smallest number.
0.038 × 102 3800 × 10–4 380 0.38 × 10–1
...........................................................................................................................................................
.
(Total for Question 20 is 2 marks)
_____________________________________________________________________________
_
21. The table shows information about the speeds of 100 lorries.
Speed (s) in km/h Frequency
0 < s ≤ 20 2
20 < s ≤ 40 9
40 < s ≤ 60 23
60 < s ≤ 80 31
80 < s ≤ 100 27
100 < s ≤ 120 8
(a) Complete the cumulative frequency table for this information.
Cumulative
Speed (s) in km/h
frequency
0 < s ≤ 20 2
0 < s ≤ 40
0 < s ≤ 60
0 < s ≤ 80
0 < s ≤ 100
0 < s ≤ 120
(1)
28
29. (b) On the grid, draw a cumulative frequency graph for your table.
(2)
(c) Find an estimate for the number of lorries with a speed of more than 90 km/h.
.....................................................
(2)
(Total for Question 21 is 5 marks)
_____________________________________________________________________________
_
29
30. 22. Solve the simultaneous equations
3x + 2y = 4
4x + 5y = 17
x = .....................................................
y = .....................................................
(Total for Question 22 is 4 marks)
_____________________________________________________________________________
_
30
31. 23.
ABCD is a square.
P and D are points on the y-axis.
A is a point on the x-axis.
PAB is a straight line.
The equation of the line that passes through the points A and D is y = –2x + 6
Find the length of PD.
.......................................................
(Total for Question 23 is 4 marks)
31
33. 24. Make t the subject of the formula
3 − 2t
p=
4 +t
..............................................................................................
(Total for Question 24 is 4 marks)
_____________________________________________________________________________
_
33
34. 25. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm3.
(a) Work out the volume of solid B.
....................................cm3
(2)
Solid B has a total surface area of 160 cm2.
(b) Work out the total surface area of solid A.
....................................cm2
(2)
(Total for Question 25 is 4 marks)
_____________________________________________________________________________
_
34
35. 5
26. (a) Rationalise the denominator of
2
.....................................................
(2)
(b) Expand and simplify (2 + 3 )2 – (2 – 3 )2
......................................................................................................
(2)
(Total for Question 26 is 4 marks)
_____________________________________________________________________________
_
35
36. 27.
(a) On the grid, draw the graph of x2 + y2 = 4
(2)
(b) On the grid, sketch the graph of y = cos x for 0° ≤ x ≤ 360°
(2)
(Total for Question 27 is 4 marks)
36
38. 28.
APB is a triangle.
N is a point on AP.
AB = a AN = 2b NP =b
(a) Find the vector PB , in terms of a and b.
.....................................................
(1)
B is the midpoint of AC.
M is the midpoint of PB.
*(b) Show that NMC is a straight line.
(4)
(Total for Question 28 is 5 marks)
TOTAL FOR PAPER IS 100 MARKS
38
39. 28.
APB is a triangle.
N is a point on AP.
AB = a AN = 2b NP =b
(a) Find the vector PB , in terms of a and b.
.....................................................
(1)
B is the midpoint of AC.
M is the midpoint of PB.
*(b) Show that NMC is a straight line.
(4)
(Total for Question 28 is 5 marks)
TOTAL FOR PAPER IS 100 MARKS
38
40. 28.
APB is a triangle.
N is a point on AP.
AB = a AN = 2b NP =b
(a) Find the vector PB , in terms of a and b.
.....................................................
(1)
B is the midpoint of AC.
M is the midpoint of PB.
*(b) Show that NMC is a straight line.
(4)
(Total for Question 28 is 5 marks)
TOTAL FOR PAPER IS 100 MARKS
38