The document provides instructions and information for a practice GCSE mathematics exam. It includes details about the exam such as the time allowed, materials permitted, and total marks. It provides advice to students to read questions carefully, watch the time, and attempt all questions. It also includes commonly used formulas for the exam.
The document provides 15 multiple choice questions related to various topics including mathematics, geometry, probability, and science. Specifically:
1. The first question asks which magazine types are listed in order of greatest to least circulation based on data provided in a table.
2. The second question provides information about 5 people sitting in a row and asks which place a "tall person" occupies from the right side.
3. The third question asks which variable would result in a corresponding decrease in the value of an equation if increased.
4. The fourth question asks about the symmetry of a machine part design shown.
This document consists of 15 printed pages containing instructions and questions for a Secondary 4 Express Mathematics Preliminary Examination. It includes 9 multiple choice questions testing a range of math skills, such as evaluating expressions, solving equations, finding percentages and rates, working with graphs and charts, calculating speed and perimeter, and identifying equations of lines. The candidate is asked to show their working and answers directly on the question paper.
This document contains instructions and questions for a mathematics exam. It provides information about the exam such as the date, time allowed, materials permitted, and instructions for completing and submitting the exam. The exam contains 7 multi-part questions testing a variety of mathematics concepts including algebra, geometry, trigonometry, statistics, and matrix operations.
This document contains instructions and questions for a mathematics preliminary examination. It consists of 7 questions testing skills in algebra, trigonometry, geometry, statistics, and problem solving. Students are instructed to show their working, use formulas provided, and give answers to a specified degree of accuracy. A total of 100 marks are available across the exam.
This document contains a practice paper for GCSE Mathematics with 27 multiple choice and worked problems. The problems cover a range of topics including number calculations, simplifying expressions, graphs, symmetry, fractions, factorizing, simultaneous equations, and trigonometry. Full worked solutions and marks allocations are provided. An analysis shows the paper assessed different areas of mathematics, with the highest proportion of marks (47%) assessing algebraic skills and techniques.
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 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.
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems. We started to develop ways to enhance students IQ. We started to leave an indelible mark on the students who have undergone APEX training. That is why APEX INSTITUTE is very well known of its quality of education
The document provides 15 multiple choice questions related to various topics including mathematics, geometry, probability, and science. Specifically:
1. The first question asks which magazine types are listed in order of greatest to least circulation based on data provided in a table.
2. The second question provides information about 5 people sitting in a row and asks which place a "tall person" occupies from the right side.
3. The third question asks which variable would result in a corresponding decrease in the value of an equation if increased.
4. The fourth question asks about the symmetry of a machine part design shown.
This document consists of 15 printed pages containing instructions and questions for a Secondary 4 Express Mathematics Preliminary Examination. It includes 9 multiple choice questions testing a range of math skills, such as evaluating expressions, solving equations, finding percentages and rates, working with graphs and charts, calculating speed and perimeter, and identifying equations of lines. The candidate is asked to show their working and answers directly on the question paper.
This document contains instructions and questions for a mathematics exam. It provides information about the exam such as the date, time allowed, materials permitted, and instructions for completing and submitting the exam. The exam contains 7 multi-part questions testing a variety of mathematics concepts including algebra, geometry, trigonometry, statistics, and matrix operations.
This document contains instructions and questions for a mathematics preliminary examination. It consists of 7 questions testing skills in algebra, trigonometry, geometry, statistics, and problem solving. Students are instructed to show their working, use formulas provided, and give answers to a specified degree of accuracy. A total of 100 marks are available across the exam.
This document contains a practice paper for GCSE Mathematics with 27 multiple choice and worked problems. The problems cover a range of topics including number calculations, simplifying expressions, graphs, symmetry, fractions, factorizing, simultaneous equations, and trigonometry. Full worked solutions and marks allocations are provided. An analysis shows the paper assessed different areas of mathematics, with the highest proportion of marks (47%) assessing algebraic skills and techniques.
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 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.
APEX INSTITUTE was conceptualized in May 2008, keeping in view the dreams of young students by the vision & toil of Er. Shahid Iqbal. We had a very humble beginning as an institute for IIT-JEE / Medical, with a vision to provide an ideal launch pad for serious JEE students . We actually started to make a difference in the way students think and approach problems. We started to develop ways to enhance students IQ. We started to leave an indelible mark on the students who have undergone APEX training. That is why APEX INSTITUTE is very well known of its quality of education
The document is the question paper for a Secondary 4 mathematics examination consisting of 11 questions testing topics including algebra, geometry, trigonometry, statistics, and sequences and series. The exam has a maximum score of 100 marks and covers areas such as simplifying expressions, solving equations, calculating lengths, areas, volumes, probabilities, and interpreting graphs. Candidates are instructed to show working, use calculators appropriately, and express answers to a given degree of accuracy.
This document is the first paper of the Secondary 4 Express / 5 Normal Mathematics Preliminary Examination from 2009. It consists of 16 printed pages and has 10 questions. The questions cover a range of mathematics topics including calculations, simultaneous equations, rates of change, sets and probabilities. Students are instructed to show their working, use calculators appropriately, and express their answers to a given degree of accuracy. They must answer all questions and ensure their work is securely fastened together at the end. The total number of marks for the paper is 80.
This document provides the annual lesson plan for Form Five students at SMK Bukit Jelutong Shah Alam for 2012. It outlines 45 weeks of topics to be covered from January to September, including chapters on number bases, graphs, transformations, matrices, variations, probability, bearing, earth geometry, and plans/elevations. Key learning objectives and outcomes are specified for each topic. The schedule notes public holidays and exam periods.
This document contains instructions for a mathematics preliminary examination for Secondary Four students at River Valley High School. It provides details such as the date of the exam, time allowed, instructions for completing the exam, mathematical formulas, and a list of 22 questions covering various math topics. Students are to show their working and answer all questions in the allotted time of 2 hours.
1. The document provides steps for factoring polynomials, simplifying binomials, multiplying monomials and binomials, finding areas of rectangles with variable sides, naming polynomials, and other algebra concepts. It includes examples and explanations for each topic.
2. Methods are given for factoring polynomials by finding the greatest common factor or using the difference of squares formula. Binomials should be squared by writing them twice and using FOIL, not squaring individual terms.
3. To multiply a monomial by a polynomial, the term outside is distributed to each term inside. FOIL is used to multiply binomials. Perimeters can be found by doubling the total length and width given in an area formula.
The yearly lesson plan outlines topics in mathematics to be covered over the year for primary 4 students. It includes 9 topics: whole numbers, fractions, decimals, money, time, length, mass, volume of liquid, and shape and space. Each topic is broken down into learning areas and weeks, with objectives, outcomes, and exams scheduled throughout the year. The plan provides a comprehensive overview of the mathematical concepts primary 4 students will learn in a given year.
The document discusses potential issues with using real primary colors to specify color, such as some colors not being matchable and negative tristimulus values. It proposes using imaginary primary colors instead to allow all real colors to be matched using positive amounts. While a visual tristimulus colorimeter could measure color, matches would be highly metameric and imprecise between observers and measurements. Using more than three primaries can reduce metamerism issues.
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.
A multiple choice problem consists of a set of color classes P = {C1 , C2 , . . . , Cn }. Each color class Ci consists of a pair of objects typically a pair of points. Objective of such a problem, is to select one object from each color class such that certain optimality criteria is satisfied. One example of such problem is rainbow minmax gap problem(RMGP). In RMGP, given P, the objective is to select exactly one point from each color class, such that the maximum distance between a pair of consecutive selected points is minimized. This problem was studied by Consuegra and Narasimhan. We show that the problem is NP-hard. For our proof we also describe an auxiliary result on satisfiability. A 3-SAT formula is an LSAT formula if each clause (viewed as a set of literals) intersects at most one other clause, and, moreover, if two clauses intersect, then they have exactly one literal in common. We show that the problem of deciding whether an LSAT formula is satisfiable or not is NP-complete. We also briefly describe some approximation results of some multiple choice problems.
1. The document contains a mock test with 30 multiple choice questions covering various topics like patterns, codes, spatial reasoning, logical reasoning, and data interpretation.
2. The first section contains questions on patterns, codes to form words, identifying words that cannot be formed from given letters, and interpreting coded messages.
3. The later sections include questions involving diagrams of trees, balls in a row, points in a grid, relationships between figures, identifying symmetric and embedded figures, and puzzles involving directions and seating arrangements.
This mathematics lesson teaches students about ordered pairs and their use in locating points on a grid. Students practice using ordered pairs to find assigned seats in the classroom and to name locations on maps. They learn that the first number in an ordered pair represents the horizontal coordinate and the second number represents the vertical coordinate. Students work in groups to explain scenarios where ordered pairs are used, such as describing seats in a stadium or locations on a map using longitude and latitude. Exercises have students match ordered pairs to points on grids and vice versa. The lesson aims to demonstrate that the order of numbers in an ordered pair is important to uniquely identify a single point.
The document provides information about the GAT practice test, including:
1) The GAT General test contains 100 questions across 3 sections: English, Quantitative, and Analytical Reasoning.
2) The English section contains vocabulary, grammar, reading comprehension, and other question types.
3) The Quantitative section covers topics in algebra, geometry, arithmetic, and word problems.
4) The Analytical Reasoning section involves collecting information, drawing conclusions, and making inferences.
The document provides examples and explanations for writing and working with equations of lines using slope-intercept form. It includes examples of writing equations given the slope and y-intercept, given two points, using point-slope form, and determining whether lines are parallel or perpendicular. It also provides a multi-step example involving writing an equation to model combinations of small and large vans used to transport a class on a field trip. The examples progress from simple to more complex and include step-by-step solutions and guided practice problems.
1) This document contains an entrance test for the B.Sc. (IT) Examination from May/June 2011 conducted by the Directorate of Distance Education.
2) The test contains two parts - Part A consisting of compulsory short answer questions and Part B consisting of longer answer questions where the candidate must answer 5 out of the given questions.
3) The questions cover topics like algorithms, C programming, data structures, computer networks and abstract data types.
The document contains a 20 question post-assessment test on geometry concepts such as parallel and perpendicular lines, properties of shapes like parallelograms and rhombi, and applications of geometry principles in real world contexts like furniture design and bridge planning. The questions cover key topics, theorems, and multi-step problem solving involving geometry topics. The answer key provides brief explanations for each response.
This document is a test specification table outlining the topics, learning outcomes, and question levels for a Form 4 Mathematics exam in Malaysia. It includes 16 questions testing topics such as sets, solid geometry, linear equations, circles, quadratic expressions/equations, straight lines, probability, statistics, and mathematical reasoning. Question difficulty ranges from moderate (M) to difficult (D) to extended/challenging (E). Topics include volumes, arcs, sectors, areas, gradients, intercepts, probability, frequency tables, means, histograms, and ogives.
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.
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.
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
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.
The document is the question paper for a Secondary 4 mathematics examination consisting of 11 questions testing topics including algebra, geometry, trigonometry, statistics, and sequences and series. The exam has a maximum score of 100 marks and covers areas such as simplifying expressions, solving equations, calculating lengths, areas, volumes, probabilities, and interpreting graphs. Candidates are instructed to show working, use calculators appropriately, and express answers to a given degree of accuracy.
This document is the first paper of the Secondary 4 Express / 5 Normal Mathematics Preliminary Examination from 2009. It consists of 16 printed pages and has 10 questions. The questions cover a range of mathematics topics including calculations, simultaneous equations, rates of change, sets and probabilities. Students are instructed to show their working, use calculators appropriately, and express their answers to a given degree of accuracy. They must answer all questions and ensure their work is securely fastened together at the end. The total number of marks for the paper is 80.
This document provides the annual lesson plan for Form Five students at SMK Bukit Jelutong Shah Alam for 2012. It outlines 45 weeks of topics to be covered from January to September, including chapters on number bases, graphs, transformations, matrices, variations, probability, bearing, earth geometry, and plans/elevations. Key learning objectives and outcomes are specified for each topic. The schedule notes public holidays and exam periods.
This document contains instructions for a mathematics preliminary examination for Secondary Four students at River Valley High School. It provides details such as the date of the exam, time allowed, instructions for completing the exam, mathematical formulas, and a list of 22 questions covering various math topics. Students are to show their working and answer all questions in the allotted time of 2 hours.
1. The document provides steps for factoring polynomials, simplifying binomials, multiplying monomials and binomials, finding areas of rectangles with variable sides, naming polynomials, and other algebra concepts. It includes examples and explanations for each topic.
2. Methods are given for factoring polynomials by finding the greatest common factor or using the difference of squares formula. Binomials should be squared by writing them twice and using FOIL, not squaring individual terms.
3. To multiply a monomial by a polynomial, the term outside is distributed to each term inside. FOIL is used to multiply binomials. Perimeters can be found by doubling the total length and width given in an area formula.
The yearly lesson plan outlines topics in mathematics to be covered over the year for primary 4 students. It includes 9 topics: whole numbers, fractions, decimals, money, time, length, mass, volume of liquid, and shape and space. Each topic is broken down into learning areas and weeks, with objectives, outcomes, and exams scheduled throughout the year. The plan provides a comprehensive overview of the mathematical concepts primary 4 students will learn in a given year.
The document discusses potential issues with using real primary colors to specify color, such as some colors not being matchable and negative tristimulus values. It proposes using imaginary primary colors instead to allow all real colors to be matched using positive amounts. While a visual tristimulus colorimeter could measure color, matches would be highly metameric and imprecise between observers and measurements. Using more than three primaries can reduce metamerism issues.
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.
A multiple choice problem consists of a set of color classes P = {C1 , C2 , . . . , Cn }. Each color class Ci consists of a pair of objects typically a pair of points. Objective of such a problem, is to select one object from each color class such that certain optimality criteria is satisfied. One example of such problem is rainbow minmax gap problem(RMGP). In RMGP, given P, the objective is to select exactly one point from each color class, such that the maximum distance between a pair of consecutive selected points is minimized. This problem was studied by Consuegra and Narasimhan. We show that the problem is NP-hard. For our proof we also describe an auxiliary result on satisfiability. A 3-SAT formula is an LSAT formula if each clause (viewed as a set of literals) intersects at most one other clause, and, moreover, if two clauses intersect, then they have exactly one literal in common. We show that the problem of deciding whether an LSAT formula is satisfiable or not is NP-complete. We also briefly describe some approximation results of some multiple choice problems.
1. The document contains a mock test with 30 multiple choice questions covering various topics like patterns, codes, spatial reasoning, logical reasoning, and data interpretation.
2. The first section contains questions on patterns, codes to form words, identifying words that cannot be formed from given letters, and interpreting coded messages.
3. The later sections include questions involving diagrams of trees, balls in a row, points in a grid, relationships between figures, identifying symmetric and embedded figures, and puzzles involving directions and seating arrangements.
This mathematics lesson teaches students about ordered pairs and their use in locating points on a grid. Students practice using ordered pairs to find assigned seats in the classroom and to name locations on maps. They learn that the first number in an ordered pair represents the horizontal coordinate and the second number represents the vertical coordinate. Students work in groups to explain scenarios where ordered pairs are used, such as describing seats in a stadium or locations on a map using longitude and latitude. Exercises have students match ordered pairs to points on grids and vice versa. The lesson aims to demonstrate that the order of numbers in an ordered pair is important to uniquely identify a single point.
The document provides information about the GAT practice test, including:
1) The GAT General test contains 100 questions across 3 sections: English, Quantitative, and Analytical Reasoning.
2) The English section contains vocabulary, grammar, reading comprehension, and other question types.
3) The Quantitative section covers topics in algebra, geometry, arithmetic, and word problems.
4) The Analytical Reasoning section involves collecting information, drawing conclusions, and making inferences.
The document provides examples and explanations for writing and working with equations of lines using slope-intercept form. It includes examples of writing equations given the slope and y-intercept, given two points, using point-slope form, and determining whether lines are parallel or perpendicular. It also provides a multi-step example involving writing an equation to model combinations of small and large vans used to transport a class on a field trip. The examples progress from simple to more complex and include step-by-step solutions and guided practice problems.
1) This document contains an entrance test for the B.Sc. (IT) Examination from May/June 2011 conducted by the Directorate of Distance Education.
2) The test contains two parts - Part A consisting of compulsory short answer questions and Part B consisting of longer answer questions where the candidate must answer 5 out of the given questions.
3) The questions cover topics like algorithms, C programming, data structures, computer networks and abstract data types.
The document contains a 20 question post-assessment test on geometry concepts such as parallel and perpendicular lines, properties of shapes like parallelograms and rhombi, and applications of geometry principles in real world contexts like furniture design and bridge planning. The questions cover key topics, theorems, and multi-step problem solving involving geometry topics. The answer key provides brief explanations for each response.
This document is a test specification table outlining the topics, learning outcomes, and question levels for a Form 4 Mathematics exam in Malaysia. It includes 16 questions testing topics such as sets, solid geometry, linear equations, circles, quadratic expressions/equations, straight lines, probability, statistics, and mathematical reasoning. Question difficulty ranges from moderate (M) to difficult (D) to extended/challenging (E). Topics include volumes, arcs, sectors, areas, gradients, intercepts, probability, frequency tables, means, histograms, and ogives.
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.
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.
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
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.
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 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.
Mark Scheme (Results) June 2012 GCSE Mathematics (2MB01) Higher Paper 5MB3H_01 (Calculator) provides guidance for examiners on marking the GCSE Mathematics exam from June 2012. It includes notes on general marking principles, how to award marks for various parts of questions, and specific guidance for marking some sample questions from the exam. The document is published by Pearson Education and provides information to ensure accurate and consistent marking of the GCSE exam.
This document provides a mark scheme for GCSE Mathematics (Linear) 1MA0 Higher (Calculator) Paper 2H from March 2013. It outlines the general principles that examiners should follow when marking, such as awarding all marks that are deserved and following through correct working. It also provides specific guidance on marking certain types of questions involving areas like probability, linear equations, and multi-step calculations. The document aims to ensure examiners apply marks consistently across all candidates.
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.
The document provides the mark scheme for the March 2012 GCSE Mathematics (2MB01) Higher 5MB2H (Non-Calculator) Paper 01 exam. It outlines the general principles for marking the exam, including how to award full marks if deserved and how to follow through marks from previous steps. The document also provides subject-specific guidance for marking questions involving areas like probability, linear equations, and multi-step calculations.
This document is a mark scheme for the January 2013 A-level Mathematics exam. It provides guidance for examiners on how to mark students' responses consistently. The mark scheme was developed by the Principal Examiner and a panel of teachers, and was refined through a standardization process where examiners analyzed sample scripts. The mark scheme is a working document that may be expanded based on students' actual responses. Details of the mark scheme can change between exam sittings depending on the specific questions asked.
1. Indices involve rules for exponents like xa+b = xaxb and (xa)b = xab. Solving exponential equations uses these rules.
2. Graph transformations include translations, stretches, reflections, and asymptotes. Translations replace x with (x-a) and y with (y-b).
3. Sequences are functions with successive terms defined by a rule. Geometric sequences multiply successive terms by a constant ratio while arithmetic sequences add a constant.
Mark schemes provide principles for awarding marks on exam questions. This document contains:
1) Notes on general marking principles such as awarding all marks, following through errors, and ignoring subsequent work.
2) Examples of mark schemes for GCSE math questions, including breakdowns of method marks and accuracy marks for steps in solutions.
3) Guidance on codes used in mark schemes and policies for partial answers, probability notation, and more.
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.
The document provides a mark scheme for a GCSE Statistics exam. It outlines general principles for marking, including how to award method marks, accuracy marks, and follow through marks. It also provides specific guidance for marking several questions that appeared on the paper, including how to award marks for correct responses, working, and interpretations. Key details include awarding marks for correct plots and lines on a scatter diagram, appropriate hypotheses and conclusions for unemployment data presented in percentages, and identifying strengths and weaknesses of sampling techniques.
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 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.
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.
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.
The document is a math worksheet from Xinmin Secondary School for students in class 3E on graphing exponential and logarithmic functions. It contains 6 questions asking students to sketch various exponential and logarithmic graphs and identify intercepts, asymptotes and solutions to related equations by finding the intersection points of the graphs. Students are reminded to clearly label their graphs and ensure they are large enough.
This document provides instruction and examples for calculating distance between points on a coordinate plane and working with absolute value. It defines absolute value as the distance between two numbers and shows how to solve equations involving absolute value. Sample problems are provided to practice finding distances between points, evaluating absolute values, and solving absolute value equations. Students are asked to work through examples with a partner and complete related homework problems.
This document contains a mathematics exam paper with questions divided into multiple sections. Some key details:
- It is a 21⁄2 hour exam worth 50 marks total, divided into Part A and Part B.
- Part A contains 4 sections with various types of short and long answer questions on topics like real numbers, coordinate geometry, trigonometry, and mensuration.
- Part B contains shorter answer questions to be written directly on the question paper involving skills like interpreting logarithmic expressions and evaluating polynomials.
- The questions test a wide range of mathematics concepts and require calculations, proofs, formula applications, and reasoning about geometric shapes and algebraic expressions.
The document describes the process for a pre-test on polynomials and factoring. It states that students will spend 20 minutes individually completing the pre-test without calculators. They will then spend 10 minutes discussing the results in groups of three. Each group will submit one sheet of paper with their best answers. Remaining time will be used to go over unanswered questions as a class. The actual test on the material will take place the next day.
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 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 provides guidance and sample exam style questions for a geometry test on 3D shapes and their nets. It contains 9 multiple choice and short answer questions testing identification of shapes from nets, naming shapes, determining faces, edges and vertices, drawing nets, and applying properties of shapes like cubes. Students are advised to read questions carefully, attempt all questions, show working, and check answers.
This document appears to be a sample math exam for 10th grade students. It contains 4 sections - the first with short answer and problem solving questions worth 1 mark each, the second with slightly longer questions worth 2 marks each, the third with choice-based questions worth 4 marks each, and the fourth with true/false type multiple choice questions worth half a mark each. The exam covers a range of math topics including algebra, geometry, trigonometry, and statistics. It provides worked examples and graphical representations where required.
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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.
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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.
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- Question 5 caused issues as some students subtracted rather than added when using Pythagoras' theorem, losing accuracy.
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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.
2. GCSE Mathematics 2MB01
Formulae: Foundation Tier
You must not write on this formulae page.
Anything you write on this formulae page will gain NO credit.
1
Area of trapezium = 2 (a + b)h
Volume of prism = area of cross section × length
Practice Paper A 3F 2
3. Answer ALL questions.
Write your answers in the spaces provided.
You must write down all stages in your working.
1. Here are some 6-sided shapes.
A B C
E F
D
G H J
(a) Write down the letters of two shapes that are congruent.
……………………………………
(1)
(b) Write down the letters of two shapes that are similar.
…………………………………...
(1)
(c) Write down the mathematical name for the 6-sided shapes.
………………………………….
(1)
(Total for Question 1 is 3 marks)
Practice Paper A 3F 3
4. *2. Jim has 5 lengths of wood that are each 2 metres long.
He wants to make two shelves for an airing cupboard.
Each shelf is made from seven pieces of wood.
The five long pieces are each 80 cm long.
The two short pieces are each 35 cm long.
Does Jim have enough wood to make the shelves?
You must explain your answer.
(Total for Question 2 is 5 marks)
Practice Paper A 3F 4
5. 3. (a) On the grid draw a pair of parallel lines.
P
A B
(1)
(b) On the grid draw a perpendicular from the point P to the line AB.
(1)
(Total for Question 3 is 2 marks)
4. This equilateral triangle has sides of length l cm.
Practice Paper A 3F 5
6. l cm l cm
l cm
(i) Write down a formula, in terms of l, for the perimeter P of the triangle.
………………………….
(2)
(ii) Find the value of P when l = 10
………………….
(1)
(Total for Question 4 is 3 marks)
Practice Paper A 3F 6
7. 5. (a) Solve a + a + a = 12
a = ..……………..
(1)
(b) Solve g – 5 = 4
g = ………………
(1)
y
(c) Solve =6
3
y = …………….
(1)
(Total for Question 5 is 3 marks)
6. There are 2 bus stops on the High Street.
There are 23 people on a bus when it reaches the first bus stop.
15 people get off,
21 people get on.
At the second bus stop,
25 people get off,
18 people get on.
How many people are now on the bus?
………………. people
(Total for Question 6 is 3 marks)
Practice Paper A 3F 7
8. 7. mirror
line
A
(a) Reflect the shaded triangle A in the mirror line
(2)
Practice Paper A 3F 8
9. mirror
line
(b) Reflect the shaded shape B in the mirror line.
(2)
(Total for Question 7 is 4 marks
Practice Paper A 3F 9
10. 8. F = 5k + 3
k=7
(a) Work out the value of F.
F = ………………….
(2)
T = 4w – 2
T = 22
(b) Work out the value of w.
w = ………………….
(2)
F = ma + b
(c) Make a the subject of the formula.
a=
………………….
(2)
(Total for Question 8 is 6 marks)
Practice Paper A 3F 10
11. 9. Here is triangle ABC. A
5.4 cm
67°
B C
8.3 cm
Make an accurate drawing of this triangle.
(Total for Question 9 is 3marks)
10. (a) Change 650 mm into cm.
……………….. cm
(1)
(b) Change 2.45 km into m.
……………… m
(1)
(Total for Question 10 is 2 marks)
Practice Paper A 3F 11
12. 11. Mr & Mrs Evans and their two children Emma (age 12) and Tom (age 4) have a day out at a
theme park.
The entrance fee is
Adult £19.95
Child (under 16) £12.50
Child (under 5) £ 5.99
Family ticket £45
Work out how much is saved if they buy a family ticket rather than individual tickets.
£ …………………
(Total for Question 10 is 5 marks)
12. Becky is organising a coach trip for some students.
They are all going to travel by coach.
Each coach can carry 53 passengers
There are going to be 335 students going on the trip.
For every 15 students there will need to be one adult.
Work out how many coaches Becky will need.
……………. coaches
(Total for Question 11 is 5 marks)
Practice Paper A 3F 12
13. *13. Jodie bought a new TV on a credit plan.
Cash
The cash price for the TV is £625 price
£625
Jodie pays a deposit of 15%
She then pays 24 payments of £25.95
Credit Plan
How much more did it cost using the credit plan
than paying the cash price? 15% deposit
24 payments of £25.95
(Total for Question 13 is 5 marks)
14. Johan earned £40 000 last year.
He paid £6000 in tax.
Write £6000 as a fraction of £40 000
Give your fraction in its simplest form.
……………….
(Total for Question 14 is 2 marks)
Practice Paper A 3F 13
14. 15. Here is a parallelogram.
x cm
The height of the parallelogram is x cm.
The perimeter of the parallelogram is 44 cm.
The length of the parallelogram is three times as long as the height.
The slant length of the parallelogram is 2 cm longer than the height.
Find the area of the parallelogram.
………………… cm²
(Total for Question 15 is 5 marks)
Practice Paper A 3F 14
15. 16. Here is a travel graph of Siân’s journey from her house to the library and back to her house.
20
18
16
14
Distance 12
from
Siân’s 10
house 8
(km)
6
4
2
0
09 00 09 30 10 00 10 30 11 00 11 30
Time
Siân stopped at some road works at 09 30
(a) For far is Siân from her house at 09 30?
……………..km
(1)
The library is 20 km from Siân’s house.
(b) (i) At what time did Siân arrive at the library?
……………..
(ii) How long did Siân spend at the library?
……………. minutes
(2)
Siân left the library to travel back to her house.
(c) At what time did Siân arrive back at her house?
………………….
(1)
(d) At what speed did Siân travel on her way back from the library?
……………… km/h
(2)
(Total for Question 16 is 6 marks)
Practice Paper A 3F 15
16. 17. The diagram shows the position of two airports, A and B.
A plane flies from airport A to airport B.
N
N
A
Scale: 1 cm represents 50 km
B
(a) Find the bearing of airport B from airport A
..................................°
(1)
(b) Work out the real distance between airport A and airport B.
Use the scale 1 cm represents 50 km.
.................................. km
(2)
Airport C is 350 km on a bearing of 066° from airport B.
(c) On the diagram, mark airport C with a cross (×).
Label it C.
(2)
(Total for Question 17 is 5 marks)
Practice Paper A 3F 16
17. 18. On the grid below show how the shaded shape will tessellate.
You should draw at least 8 shapes.
(Total for Question 18 is 2 marks)
*19. Here is part of Mr. Jones’ electricity bill.
Electricity Bill Seelec
Mr A. Jones Electricity for
23 The Street the South East
Lavenham
CO 10 1XY
Cost per unit
Date of meter readingReading in unitsJan. 31st 201125192April
31st 201127065
11.45p
Find the total cost for Mr Jones’ electricity bill.
Practice Paper A 3F 17
19. 20. y
6
5
4
3
2
1
−6 −5 −4 −3 −2 −1 O 1 2 3 4 5 6 x
−1
P
−2
−3
−4
−5
−6
(a) Rotate triangle P 180° about the point (−1, 1).
Label the new triangle A.
(2)
6
(b) Translate triangle P by the vector ÷.
−1
Label the new triangle B.
(2)
Practice Paper A 3F 19
20. y
5
4
3
2 R
Q
1
O 1 2 3 4 5 x
(c) Describe the single transformation that moves shape Q to shape R .
(2)
(Total for Question 20 is 6 marks)
TOTAL FOR PAPER = 80 MARKS
Practice Paper A 3F 20