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 provides instructions for candidates taking a mathematics exam. It consists of 19 printed pages and 1 blank page. The instructions state to write identifying information on all work submitted, use blue or black pen with pencil allowed for diagrams, and to answer all questions. Calculators should be used and answers given to three significant figures unless specified otherwise. Some key points covered include showing all working, writing degrees to one decimal place, and fastening all work securely at the end. The total marks for the exam are 130.
This document consists of:
1) A 12 page examination for International General Certificate of Secondary Education Mathematics.
2) The examination contains 22 multiple choice and written response questions testing a variety of math skills.
3) Answers are to be shown and the number of marks for each question are provided.
This document contains a mathematics assessment with multiple choice and short answer questions testing various math concepts including:
- Place value
- Rounding numbers
- Order of operations
- Number sequences
- Prime numbers
- Percentages
- Conversions between units
- Time conversions
The short answer questions at the end require showing work for: writing a number in words, adding and subtracting numbers, finding common factors, converting between units of measurement, and converting between a time in hours and minutes and 12-hour time notation.
This document contains a set of multiple choice questions and answers related to data structures. There are 56 questions covering topics like hashing, graphs, trees, sorting algorithms, linked lists, stacks, queues, arrays, and more. The questions test knowledge of concepts like time complexity, operations on different data structures, representations of data like matrices and graphs, and algorithms that use common data structures.
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.
This document contains a practice paper for a GCSE mathematics exam with higher tier questions. It includes 4 questions testing skills in linear equations, time, geometry, and transformations. For each question, it shows the working, answer, and marks awarded. It provides the questions, working, answers, marks, and any relevant notes to explain the marking.
The document is a mark scheme for a GCSE Mathematics exam. It provides notes on marking principles for examiners and guidance on how to apply marks for different types of questions and responses. Some key details include: examiners must apply the same treatment to all candidates; candidates should be rewarded for what they show they can do rather than penalized for omissions; marks are designed to be awarded as long as responses match the mark scheme; and guidance is provided for situations like crossed out work, follow through marks, probability answers, and showing working.
This document provides instructions and information for a practice GCSE Mathematics exam. It specifies that the exam is 1 hour and 45 minutes long and covers various topics in mathematics. It provides the materials allowed, instructions on completing the exam, information about marking and time allocation, and advice to students. The exam contains 18 questions testing skills in algebra, graphs, geometry, statistics, and problem solving. It is out of a total of 80 marks.
This document provides instructions for candidates taking a mathematics exam. It consists of 19 printed pages and 1 blank page. The instructions state to write identifying information on all work submitted, use blue or black pen with pencil allowed for diagrams, and to answer all questions. Calculators should be used and answers given to three significant figures unless specified otherwise. Some key points covered include showing all working, writing degrees to one decimal place, and fastening all work securely at the end. The total marks for the exam are 130.
This document consists of:
1) A 12 page examination for International General Certificate of Secondary Education Mathematics.
2) The examination contains 22 multiple choice and written response questions testing a variety of math skills.
3) Answers are to be shown and the number of marks for each question are provided.
This document contains a mathematics assessment with multiple choice and short answer questions testing various math concepts including:
- Place value
- Rounding numbers
- Order of operations
- Number sequences
- Prime numbers
- Percentages
- Conversions between units
- Time conversions
The short answer questions at the end require showing work for: writing a number in words, adding and subtracting numbers, finding common factors, converting between units of measurement, and converting between a time in hours and minutes and 12-hour time notation.
This document contains a set of multiple choice questions and answers related to data structures. There are 56 questions covering topics like hashing, graphs, trees, sorting algorithms, linked lists, stacks, queues, arrays, and more. The questions test knowledge of concepts like time complexity, operations on different data structures, representations of data like matrices and graphs, and algorithms that use common data structures.
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.
This document contains a practice paper for a GCSE mathematics exam with higher tier questions. It includes 4 questions testing skills in linear equations, time, geometry, and transformations. For each question, it shows the working, answer, and marks awarded. It provides the questions, working, answers, marks, and any relevant notes to explain the marking.
The document is a mark scheme for a GCSE Mathematics exam. It provides notes on marking principles for examiners and guidance on how to apply marks for different types of questions and responses. Some key details include: examiners must apply the same treatment to all candidates; candidates should be rewarded for what they show they can do rather than penalized for omissions; marks are designed to be awarded as long as responses match the mark scheme; and guidance is provided for situations like crossed out work, follow through marks, probability answers, and showing working.
This document provides instructions and information for a practice GCSE Mathematics exam. It specifies that the exam is 1 hour and 45 minutes long and covers various topics in mathematics. It provides the materials allowed, instructions on completing the exam, information about marking and time allocation, and advice to students. The exam contains 18 questions testing skills in algebra, graphs, geometry, statistics, and problem solving. It is out of a total of 80 marks.
1. 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.
2 revision session for core 1 polynomials , factor and remainder theoremclaire meadows-smith
The Community Maths School structured a revision programme for the Core 1 exam. The programme is based on the AQA AS exam and is suitable for most exam boards. The revision sessions will provide hints, key points, practice questions, and links to exam solutions. Six revision sessions will be held from March 24th to April 28th, with exam practice sessions on May 5th and 12th. The Core 1 exam will take place on May 19th.
The document provides a list of topics that may be covered on a calculator exam on Friday, including alternate and corresponding angles, scatter graphs, product of prime factors, trial and improvement, averages from tables, cumulative frequency, frequency polygons, histograms, Pythagoras' theorem, trigonometry, straight line graphs, reflections, translations, ratio, exchange rates, probability from tables, circles, use of calculators, surface area and volume, index laws, expanding/simplifying/solving, reverse percentages, stratified sampling, sequences, upper and lower bounds, quadratic formula, area formula for triangles, and inequalities.
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.
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.
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.
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.
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
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.
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.
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.
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 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.
The document is a mark scheme for a GCSE mathematics exam. It provides guidance to examiners on how to mark students' responses, including what constitutes correct working and answers for different parts of questions. The document also provides background information on the exam board and qualifications.
The first session in a structured revision programme for AS Core 1 Maths - includes Key points, Hints, links to exam solutions and practice questions. Created for the AQA AS Level,
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.
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 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.
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.
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.
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.
1. This document is an exam paper for GCSE Mathematics (Linear) - 1380 Paper 4 (Calculator) Higher Tier. It contains 26 maths questions to be completed in 1 hour and 45 minutes. Students must show their working and write their answers in the spaces provided.
2. The exam paper provides information for candidates such as the marking scheme and advice to work steadily through all questions. It also contains a blank formulae page that students cannot write on.
3. The first few questions cover topics like currency exchange, geometric transformations, number sequences, scatter graphs, ratios, and solving equations. Students must set out their working clearly to receive full marks.
1. This document provides instructions and information for 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.
2 revision session for core 1 polynomials , factor and remainder theoremclaire meadows-smith
The Community Maths School structured a revision programme for the Core 1 exam. The programme is based on the AQA AS exam and is suitable for most exam boards. The revision sessions will provide hints, key points, practice questions, and links to exam solutions. Six revision sessions will be held from March 24th to April 28th, with exam practice sessions on May 5th and 12th. The Core 1 exam will take place on May 19th.
The document provides a list of topics that may be covered on a calculator exam on Friday, including alternate and corresponding angles, scatter graphs, product of prime factors, trial and improvement, averages from tables, cumulative frequency, frequency polygons, histograms, Pythagoras' theorem, trigonometry, straight line graphs, reflections, translations, ratio, exchange rates, probability from tables, circles, use of calculators, surface area and volume, index laws, expanding/simplifying/solving, reverse percentages, stratified sampling, sequences, upper and lower bounds, quadratic formula, area formula for triangles, and inequalities.
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.
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.
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.
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.
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
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.
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.
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.
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 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.
The document is a mark scheme for a GCSE mathematics exam. It provides guidance to examiners on how to mark students' responses, including what constitutes correct working and answers for different parts of questions. The document also provides background information on the exam board and qualifications.
The first session in a structured revision programme for AS Core 1 Maths - includes Key points, Hints, links to exam solutions and practice questions. Created for the AQA AS Level,
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.
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 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.
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.
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.
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.
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 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 contains a math problem involving sequences, geometry transformations, simultaneous equations, and other algebra topics. It provides the steps to solve various math problems, including listing the first three terms of a sequence, describing a geometric reflection, solving simultaneous equations algebraically, and estimating the median from a histogram.
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 provides a review of exercises for a Math 112 final exam. It contains 31 multi-part exercises covering topics like graphing, logarithms, trigonometry, and word problems. The review is intended to help students practice problems similar to what may appear on the exam. The exam will have two parts, one allowing a calculator and one not.
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 is a mathematics exam for the International GCSE consisting of 21 multiple-choice questions covering topics like algebra, geometry, trigonometry, and statistics. The exam is 2 hours long and students must show their work. The front page provides instructions for completing the exam, including information about writing implements, how to fill in personal details, and guidance on showing working for partial credit. The back page leaves space for working out solutions to problems.
This document describes laboratory activities to teach mathematics concepts to primary and upper primary school students. It includes activities to represent decimal multiplication on a grid, make bar graphs, verify properties of parallel lines cut by a transversal, find medians and altitudes of triangles using paper folding, verify the Pythagorean theorem, and determine the ratio of a circle's circumference to its diameter. The activities provide hands-on learning to build understanding of important math concepts.
This document contains a sample mathematics exam paper for Class X with 34 questions divided into 4 sections (A, B, C, D). Section A contains 8 multiple choice 1-mark questions. Section B contains 6 2-mark questions. Section C contains 10 3-mark questions. Section D contains 10 4-mark questions. The paper covers topics like algebra, trigonometry, geometry, calculus, statistics and has both theoretical and practical questions. Students are instructed to attempt all questions in 3 hours without use of calculators.
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.
The document defines rational and irrational numbers. Rational numbers can be written as fractions with integer numerators and denominators. Irrational numbers are real numbers that cannot be written as fractions, such as the square roots of non-perfect squares. The document provides examples of evaluating, approximating, and simplifying square roots of numbers using properties of perfect squares. It also discusses using calculators to evaluate square roots.
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 is the preface to the instructor's manual for Classical Dynamics of Particles and Systems by Stephen T. Thornton and Jerry B. Marion. It provides an overview of the contents of the manual, which contains solutions to the end-of-chapter problems from the textbook. The preface notes there are now 509 problems and the solutions range from straightforward to challenging. It stresses the solutions are only for instructors and should not be shared with students.
The document provides instructions for an ICSE X Mathematics exam. It consists of 2 sections with a total of 80 marks. Section A is worth 40 marks and contains all compulsory questions. Section B is worth 40 marks and students must attempt any 4 questions. Working must be shown and rough work done on the same sheet. The questions assess a range of mathematical concepts through multiple choice and multi-part questions. Section A contains 15 multiple choice questions assessing topics like quadratic equations, probability, geometry and trigonometry. Sample multi-part questions in Section A include determining the value of 'a' if x-a is a factor of a given polynomial, and calculating interest earned and rate of interest based on deposits in a recurring account.
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 is a mathematics exam for Secondary 4 students consisting of 23 questions testing topics like algebra, trigonometry, geometry, and statistics.
2. The exam is 80 marks and students are instructed to show working, use a calculator, and answer in the spaces provided on the question paper.
3. The questions cover topics such as solving equations, factorizing expressions, finding probabilities, sketching graphs, proving geometric statements, and interpreting data from tables and graphs.
7.curves Further Mathematics Zimbabwe Zimsec Cambridgealproelearning
The document discusses properties of curves defined by functions. It begins by listing objectives for understanding important points on graphs like maxima, minima, and inflection points. It emphasizes using graphing technology to experiment but not substitute for analytical work. Examples are provided to demonstrate finding maximums, minimums, intersections, and asymptotes of various functions. The key points are determining features of a curve from its defining function.
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.
1. The document provides instructions for a mathematics exam, including information about the total marks, time allowed, materials permitted, and how to show working.
2. It contains 23 questions testing a range of mathematics topics like algebra, geometry, statistics, and calculus.
3. Students are instructed to write their answers in the spaces provided and show all working, as partial answers may receive no marks. Calculators are permitted.
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 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 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.
2. 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.
Volume of prism = area of cross section × length
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
2
b (b 4 ac )
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
2
3. Answer ALL TWENTY SEVEN questions
Write your answers in the spaces provided.
You must write down all the stages in your working.
You must NOT use a calculator.
1. Simplify 5a + 4b – 2a + 3b
……………………..
(Total 2 marks)
______________________________________________________________________________
2. Using the information that
9.7 × 12.3 = 119.31
write down the value of
97 × 123
.…………………..
0.97 × 123 000
…………………..
11 931 ÷ 97
…………………..
(Total 3 marks)
______________________________________________________________________________
3
4. 3. The scatter graph shows information about the height and the weight for nine students.
100
90
80
70
60
Weig h t
50
in k g
40
30
20
10
0
11 0 120 130 140 150 160 170
H eig h t in cm
The table shows the height and the weight for three more students.
Height in cm 135 155 170
Weight in kg 70 75 85
(a) On the scatter graph, plot the information from the table.
(1)
(b) What type of correlation does this scatter graph show?
.....................................
(1)
(c) The weight of another student is 80 kg.
Estimate the height of this student.
.....................................cm
(2)
(Total 4 marks)
______________________________________________________________________________
4
5. 4.
80 cm
L ight 10 cm
B ulb
C arton
6 cm
6 cm
30 cm
30 cm
Diagrams NOT
accurately drawn
A light bulb box measures 6 cm by 6 cm by 10 cm.
Light bulb boxes are packed into cartons.
A carton measures 30 cm by 30 cm by 80 cm.
Work out the number of light bulb boxes which can completely fill one carton.
..........................
(Total 3 marks)
______________________________________________________________________________
5
6. *5. The manager of a department store has made some changes.
She wants to find out what people think of these changes.
She uses this question on a questionnaire.
“What do you think of the changes in the store?”
Excellent Very good Good
(a) Write down what is wrong about this question.
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(1)
This is another question on the questionnaire.
“How much money do you normally spend in the store?”
A lot Not much
(b) Write down one thing that is wrong with this question.
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(1)
(Total 2 marks)
______________________________________________________________________________
6
7. 6. Here are the plan and front elevation of a prism.
The front elevation shows the cross section of the prism.
Plan
Front elevation
(a) On the grid below, draw a side elevation of the prism.
(2)
(b) In the space below, draw a 3-D sketch of the prism.
(2)
(Total 4 marks)
______________________________________________________________________________
7
8. 7.
Diagram NOT
accurately drawn
AQB, CRD and PQRS are straight lines.
AB is parallel to CD.
Angle BQR = 113º.
(a) Work out the value of x.
x = ..............................
(b) Give reasons for your answer.
......................................................................................................................................................
......................................................................................................................................................
......................................................................................................................................................
(Total 4 marks)
______________________________________________________________________________
8
9. 8. Some students did a French test and a German test.
Here are their results.
French test results 44 28 39 50 14
20 32 34 20 45
German test results 50 25 38 36 31
22 54 45 51 48
On the grid, draw diagrams that could be used to compare the French test results with the
German test results.
(3)
9
10. *(b) Make one comparison between the French test results and the German test results.
…………………………………………………………………………………………………
…………………………………………………………………………………………………
…………………………………………………………………………………………………
(1)
(Total 4 marks)
______________________________________________________________________________
*9. Samantha wants to buy a new pair of trainers.
There are 3 shops that sell the trainers she wants.
Sports „4‟ All Edexcel Sports Keef‟s Sports
Trainers Trainers Trainers
1
£5 off £50
5
plus usual price of plus
12 payments of
£70 VAT at 20%
£4.50
From which shop should Samantha buy her trainers to get the best deal?
You must show all of your working.
(Total 5 marks)
______________________________________________________________________________
10
11. 10. A pattern is to be drawn.
It will have rotational symmetry of order 4.
The pattern has been started.
By shading six more squares, complete the pattern.
(Total 3 marks)
______________________________________________________________________________
11
12. 11. Stuart and Helen play a game with red and blue cards.
Red cards are worth 4 points each.
Blue cards are worth 1 point each.
Stuart has r red cards and b blue cards.
Helen has 2 red cards and twice as many blue cards as Stuart.
The total number of points of Stuart and Helen‟s cards is T.
Write down, in terms of r and b, a formula for T.
………………………………………….
(Total 4 marks)
______________________________________________________________________________
12
13. 12. The perimeter of a triangle is 19 cm.
All the lengths on the diagram are in centimetres.
(x + 4)
(x + 3)
(x – 1)
Work out the value of x.
x = ………………….
(Total 3 marks)
______________________________________________________________________________
13
14. 13. The table gives information about an estate agent‟s charges for selling a house.
Value of the house Estate agent’s charges
Up to £60 000 2% of the value of the house
2% of the first £60 000
plus
Over £60 000
1% of the remaining value of the
house
Ken uses this estate agent to sell his house.
The estate agent sold Ken‟s house for £80 000.
Work out the total charge that Ken will have to pay.
£................................
(Total 4 marks)
______________________________________________________________________________
14. N
A
60
140
P
B
(a) Write down the bearing of A from P.
..................................
(b) Work out the bearing of B from P.
..................................
(Total 3 marks)
______________________________________________________________________________
14
15. 2 3
15. (a) Work out
5 10
………………………
(2)
2 1
(b) Work out 5 −2
3 4
………………………
(3)
(Total 5 marks)
______________________________________________________________________________
16. Use the ruler and compasses to construct the perpendicular to the line segment AB that passes
through the point P.
You must show all construction lines.
B
×
P
A
(Total 2 marks)
______________________________________________________________________________
15
16. 17. 80 people work in Jenny‟s factory.
The table shows some information about the annual pay of these 80 workers.
Annual pay (£x) Number of workers
10 000 < x 14 000 32
14 000 < x 16 000 24
16 000 < x 18 000 16
18 000 < x 20 000 6
20 000 < x 40 000 2
(a) Write down the modal class interval.
..............................................
(1)
(b) Find the class interval that contains the median.
..............................................
(1)
(Total 2 marks)
______________________________________________________________________________
18. The point A has coordinates (–5, 1).
The point B has coordinates (7, y).
The point (x, 6) is the midpoint of the line segment AB.
Find the value of x and the value of y.
x = ..........................
y = ..........................
(Total 2 marks)
______________________________________________________________________________
16
17. 19. (a) Factorise 5x – 10
..........................
(1)
(b) Factorise fully 2p2 – 4pq
..........................
(2)
(c) Expand and simplify (t + 5)(t – 4)
...................................
(2)
(d) Write down the integer values of x that satisfy the inequality
–2 x<3
..........................................................................
(2)
(Total 7 marks)
______________________________________________________________________________
20. In Holborn High School there are exactly twice as many girls as boys.
3
of the boys like sport.
5
1
of the girls like sport.
10
What fraction of the total number of students in the school like sport?
………………………
(Total 4 marks)
______________________________________________________________________________
17
19. 22. The Hawshaw Summer Fete is running a competition. Hawshaw Summer Fete
You buy a scratch card with 9 squares covered up. LOSE
Under the 9 squares on each card, randomly placed
are 4 stars, 3 hearts and 2 LOSE.
Each scratch card costs £1 LOSE
You scratch off two squares.
You win £1.50 if 2 stars are revealed.
You win £2 if 2 hearts are revealed.
Michelle buys a scratch card.
Work out the probability that this will be a winning scratch card.
……………………….
(3)
There are 1440 tickets sold at the Fete.
All of the proceeds go to charity.
Estimate the amount of money raised for charity
£ ……………………….
(4)
(Total 7 marks)
______________________________________________________________________________
19
20. 23.
A
D iagram N O T
accurately draw n
X
B D C
ABC is an equilateral triangle.
AD is the perpendicular bisector of BC.
BX is the angle bisector of angle ABC.
(a) Show that triangle BXD is similar to triangle ACD
(2)
In triangle ACD,
AC = 2 cm,
1
(b) Show that XD = cm.
3
(3)
(Total 5 marks)
______________________________________________________________________________
20
21. 2
x 9
24. Simplify 2
2x 3x 9
…………………………………….
(Total 3 marks)
______________________________________________________________________________
25. A rectangle has a length of 2t cm and a width of (√8 − √2) cm.
The area of the rectangle is 64 cm2.
Work out the value of t.
t = ………………….
(Total 5 marks)
______________________________________________________________________________
21
22. 26. Daniel has 2 bags of sweets.
One bag contains 3 green sweets and 4 red sweets.
The other bag contains 1 green sweet and 3 yellow sweets.
Daniel takes one sweet at random from each bag.
Work out the probability that Daniel will take 2 green sweets.
…………………………
(Total 3 marks)
______________________________________________________________________________
22
23. 27.
y
100
y = a – b cos( kt )
80
60
40
20
t
O 30 60 90 120
The graph of y = a – b cos (kt), for values of t between 0° and 120°, is drawn on the grid.
Use the graph to find an estimate for the value of
(i) a,
.....................................
(ii) b,
....................................
(iii) k.
....................................
(Total 3 marks)
______________________________________________________________________________
TOTAL FOR PAPER: 100 MARKS
END
23