Modulus function questions. Each question is numbered and includes a reference ...
Modulus function questions. Each question is numbered and includes a reference code along with the marks allocated for solving the problem. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Modulus Function below. Q4. Practice exam questions on modulus functions. The questions cover topics such as sketching graphs of functions, finding intercepts, solving equations and inequalities, finding composite functions, and determining points of intersection between graphs. What Is the Modulus Function? The modulus of a given number describes the magnitude of the number. A modulus function is a function that returns a number's absolute value and generates its magnitude. You can practice the MCQ Test of Test: Modulus Function (with detailed solutions) to prepare for the Grade 12 2026 exam. Here you'll find pure maths past paper questions by topic that are applicable to the latest Edexcel specification. Keywords: modulus function range, a level maths, mathematical functions, 100 days until paper 1, understanding modulus functions, high school maths concepts, exam preparation tips, teaching modulus functions, A-Level revision strategies, maths with Dan This is an AI-generated summary of the content, and is not intended to provide factual context. ht Functions's Previous Year Questions with solutions of Mathematics from JEE Main subject wise and chapter wise with solutions Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the AQA A Level Maths syllabus, written by the Maths experts at Save My Exams. Tech from Indian Institute of Technology, Kanpur. Also, we will see how to graph modulus function. It includes 9 questions with multiple parts each, asking students to solve equations like 3x + 1 = 4x and inequalities such as 2x - 5 < 7. Includes graph sketching, solving equations and inequalities. Modulus Function Questions Since you have learned all the details about modulus function and how to plot the graph for such functions, practice some questions given below based on it. Question 1 SOLUTIONS Jun 27, 2025 · Learn about sketching the graphs of modulus functions for your A level maths exam. Modulus Function is defined as the real-valued function, say f: R -> R, where y = |x| for each x ∈ R OR f (x) = |x|. (d) In the space provided on page 21, sketch the graph of y =f (x). When sketching 𝑦 = |𝑓 (𝑥)| label both parts of the graph; one will be f (x) and one will be – f (x) Ensure your final answer to inequality questions is written as one inequality if it is an interval. The solutions are provided after each question. You can watch all the videos for this question set in th Dec 12, 2024 · These exam questions are to be used as a supplementary resource for students’ development. On each diagram, show the coordinates of any stationary points. There are some candidates who seem to think that when drawing the modulus function you draw just the positive sections and ignore anything that lies below the x axis. video-tutor. We will also When a and b have these values, find the quotient when p x is divided by x2 2x 8 and hence = + − solve the equation p x 0. pdf), Text File (. if we were looking at 5 mod 3 we would A level pure maths year 2 video lesson answering questions on the topic of The modulus function. Past paper questions for the Modulus Functions topic of A-Level Edexcel Maths. There are PowerPoint solutions for students to mark their work themselves. Obtain 20 as one value of x Attempt to find second value of x Obtain —8a Substitute each of at most two values of x (involving a) leading to one final answer in each case and showing correct application of modulus signs in at least one case Obtain 4a as final answer Obtain —14a as final answer Al Al Al By solving equation with signs of x Modulus Function Practice and Solutions This document contains practice problems for solving modulus equations and inequalities. (c) Find, in terms of k, the coordinates of the minimum point of the graph with equation (4) (2) (Total for question = 10 marks) Q8. Nov 26, 2025 · Modulus functions lead to positive and negative solutions Trigonometric functions lead to infinite solutions using their symmetries Take care when you apply many-to-one functions to both sides of an equation as this can create additional solutions which are incorrect For example: squaring both sides has one solution has two solutions and Dec 7, 2018 · This math video tutorial explains how to solve absolute value inequalities. 1 from Class 12 NCERT Mathematics (Chapter 5: Continuity and Differentiability). Similarly a paranoid hash function should use a largeish prime constant, to reduce the chance that someone uses a number of buckets which happens to have a common factor with the constant. This revision note covers the key concepts and worked examples. These can be tricky so the answers have bee checked thoroughly by more than one. Attempt these quizzes on Modulus Function which has questions with hints and answers. Learn easy Tricks, Rules, Download Questions and Preparation guide on Modulus Function. Jun 19, 2025 · Learn how to solve modulus equations for your A level maths exam. Some solved examples of modulus are shared in this article. However, for the example: "-5 mod 3 = ? With a modulus of 3 we we make a clock with numbers 0,1,2 We start at 0 and go through 5 numbers in counter-clockwise sequence (5 is negative) 2,1,0,2,1" The " (5 is negative)" is explaining why we are going counter-clockwise as opposed to clockwise i. The Modulus Function, |x| Solving modulus equations and inequalities involving one function of x The function y = |x | is made up of y = x and y = − x so to solve the equation two equations x = 4 and −x = 4 are solved. Draw the graph and write its domain and range. Find the inverse function f –1(x), stating its domain. The Modulus Function, |x| 100% (1) The Modulus Function HW Success Criteria Always sketch the modulus functions you are working with. (2) (b) Solve f(x) = 15 + x. IOQM Modulus Functions - Free download as PDF File (. com. Algebra - Free Formula Sheets: https://www. He has been teaching from the past 14 years. This function can be defined using the modulus operation as follows: On Studocu you find all the lecture notes, summaries and study guides you need to pass your exams with better grades. pdf - Free download as PDF File (. Pages Other Brand Website Education website MyEdSpace Maths Videos A-level Maths - Solving modulus functions 1 day ago · Division answers the question “How many times does B go into A?”, while the modulo operation answers “What’s left over after dividing A by B?”. In this maths video I'll be showing you how to sketch modulus functions :) My video on the modulus function: • Introduction to the Modulus Function | A-L Practice IPMAT Indore Algebra - Modulus questions with detailed solutions. MODULUS FUNCTION PRACTICE MODULUS EQUATIONS 2 x + 1 = 9 3 − x = 6 3 4 x − 3 − 1 = 14 Past paper questions for the Modulus Functions topic of A-Level Edexcel Maths. In this article we will explore modulus function, modulus function formula domain and range of modulus function, modulus function graph, modulus function properties. (3) First we can see ln(x) plotted, you can never put in a negative value as = is not possible. The relationship between these spaces and the modulus multiplier spaces is established through the specific choice of the modulus function. It is therefore below the x–axis for –3 < x < 5. Start learning for free on EduRev. (January 12) 5. An answer key with the solutions to each problem is provided at the end But a paranoid hashtable can't assume a good hash function, so should use a prime number of buckets. To ensure that these questions are in line with the most recent CBSE Syllabus, subject matter experts regularly review and update these questions. (Total 12 marks) Q4. Sep 18, 2023 · Modulus Function, Properties of Modulus Function - Learn the concept with practice questions & answers, examples, video lecture Jul 23, 2025 · Modulus function gives the absolute value or magnitude of a number irrespective of the number is positive or negative. Domain and Range is calculated through visually observing the Oct 4, 2023 · CAT Modulus functions - Learn the concept with practice questions & answers, examples, video lecture The vertex of the graph with equation y = af(x + b) is (4, 20) Given that a and b are constants, (d) find the value of a and the value of b. Applications of Integration – Volumes of revolution Integrating Products of the form f [g (x)]g' (x) by inspection Standard Integrals Involving Inverse Trigonometric Functions Solving differential equations of the form dy/dx = f (x) Independent, Dependent and Mutually Exclusive Events Equations of the form a d²y/dx² + b dy/dx + cy = f (x) The document contains 18 exam questions on functions and modulus inequalities and equations. Questions and model answers on Modulus Functions & Further Transformations for the DP IB Analysis & Approaches (AA): HL syllabus, written by the Maths experts at Save My Exams. MME gives you access to maths practice questions, worksheets and videos. Find the exact value of fg(4). It contains 23 problems covering topics like inequalities, functions, and solutions of equations. Solutions of Test: Modulus Function questions in English are available as part of our Mathematics for Digital SAT for SAT & Test: Modulus Function solutions in Hindi for Mathematics for Digital SAT course. It is best to first sketch the functions within your equation so that you can figure out graphically where the solutions are located, and then use your knowledge of modulus functions to completely solve the equation. The two graphs show this clearly. [5] Solve the inequality x − 8 > 2x − 4 . A small minority of candidates appeared to be drawing sketches more like y = x + 3, y = x + 3 or y = x + 3 , and a third sketch that was a repeat of their second. The document contains a list of past paper questions related to modulus functions, specifically inequalities and equations. The Modulus Function Exam Questions (From OCR 4723) Q1 (Jun 2007, Q2) Important Questions for CBSE Class 11 Mathematics Chapter 2 - Relations and Functions Extramarks’ Important Questions Class 11 Mathematics Chapter 2 covers the main topics of Chapter 2 “Relations and Functions” Class 11 Mathematics. When we take the modulus of this function, all positive values of y remain unchanged, but negative values are multiplied by –1. Where the original function (x-1)2 – 16 takes a positive value, the graphs of the two functions coincide. The modulus sign in the question means we always take the positive −1 value of whatever is inside (so for example, at x=-1 we plot the value using x=1). Find the domain and range of the following quadratic function 1) y = x2 + 5x + 6 2) y = -2x2 + 5x - 7 The figure above shows the graph of the function f x( ), consisting entirely of straight line sections. to/39umfr5 and https: //amzn. This is the video solution for our Pure Mathematics A Level Modulus of Functions Questions by Topic. This document provides a daily practice problem (DPP) worksheet for JEE preparation in mathematics. Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Algebra and Functions This document contains a series of practice problems focused on solving modulus equations and inequalities. Hope you find this as useful as I have over the years. The coordinates of the joints of these straight line sections which make up the graph of f x( )are also marked in the figure. Range = All positive Real numbers and 0 Next: Signum Function → Remove Ads Share on WhatsApp Chapter 2 Class 11 Relations and Functions Made by Davneet Singh Davneet Singh has done his B. graph है एफएक्स is questions to mode of mode of एक्स minus five तो इस तरीके से हम लोग क्या कर पाएंगे एफएक्स के graph को scratch कर पाएंगे without using the property of modulus function you can not down Pages Public figure 4 days ago · own questions for my TikTok and YouTube. In how many ways can this be done when the committee consists of (i) exactly 3 girls, (ii) at least 3 girls, (iii) at most 3 girls Derive the length of the perpendicular from a point 1 hour ago · Modulus Function in Continuity? In this video, we solve Question 8 of Exercise 5. net/formula-sheets. If you're stuggling, we recommend viewing our collection of A-Level Pure Maths Videos or even returning to the Feb 10, 2024 · Modulus function also known as absolute value function, is a function that removes the negative sign and returns the non-negative value. Students should understand how to interpret and sketch graphs of equations in the form y = |f (x)|, where f (x) can be linear, quadratic, cubic, or trigonometric. It includes multiple questions that require students to apply their understanding of modulus functions to find solutions for various mathematical expressions. This section will show you how to: understand and use the terms: function, domain, range (image set), function and composition of functions May 9, 2020 · Zee Maths @MathsZee Alevel Maths Practice Questions #algebra #modulus function #math #algebra #maths #mathskills #mathproblems #mathteacher #olevel #olevelmaths #alevel #alevelmaths #puremaths #sat #riddles #mathspuzzle #puzzle #questions #problemsolving #circle #newpost #pakistan 5:23 PM · May 9, 2020·Twitter for Android 1 Retweet Sets-Wavy Curve Method JEE Main and Advanced. [Note: Parts (c) and (d) of this question require knowledge of the modulus function] WJEC past paper questions: 2010 – 2017 Total marks available 57 (approximately 1 hour 10 minutes) 4. (Total for question = 10 marks) A Level Mathematics Year 2 Exam Questions by Topic Chapter 4: The modulus function These questions are taken from the Specimen Exam materials and the real 2018 papers for the new syllabus AS and A-level mathematics courses and arranged by chapter of the textbooks by Goldie et al (available here: https://amzn. The function f is defined by (a) Sketch the graph with equation y = f(x), showing the coordinates of the points where the graph cuts or meets the axes. È IIE OQ Il E p < to CD In this article, we will learn about the modulus function definition and its properties, its domain and range, and how to apply this function. This page is packed with past paper questions on modulus functions to help you master the topic. Indeed, 5 is a positive number, and -5 is a negative number. The figure above shows the graph of the function f x( ), consisting entirely of straight line sections. Ideal for high school/early college math. B. This means it gets reflected in the y-axis leading to the picture on the bottom. Answer any FOUR questions: Define modulus function. With inequalities, when multiplying or dividing by a negative number, the inequality symbol changes direction. How can I find the remainder on a basic calculator without a ‘mod’ function? This session covers modulus functions, graphs of |f (x)|, symmetry in definite integrals, continuity and differentiability concepts, and area under curve — all in one powerful lecture. May 26, 2023 · Frequently Asked Questions What is the IB Math AA HL Questionbank? The IB Math Analysis and Approaches (AA) HL Questionbank is a comprehensive set of IB Mathematics exam style questions, categorised into syllabus topic and concept, and sorted by difficulty of question. Aug 2, 2021 · Get complete overview of Modulus Function at Shiksha. This revision note covers the key strategies and worked examples. [4] Solve the equation 7 − 1, giving answers correct to 2 decimal places where appropriate. This leads to the following equality. Students need to know how to solve modulus equations and how to sketch modulus graphs of the form y = |f (x)|, where f (x) is a linear function. e. Understand concepts better by attempting these practice problems on Algebra. I have tried to cover every type of question that may be asked at ‘A’ level and have made the worksheet very extensive as a result. Master modulus function concepts easily. Jun 19, 2025 · Revision notes on Solving Equations with Modulus Functions for the OCR A Level Maths A syllabus, written by the Maths experts at Save My Exams. The modulus function is denoted as y = |x| or f (x) = |x|, where f: R→ [0, ∞) and x ∈ R. Modulus Functions Related Topics: More Lessons for A Level Maths Math Worksheets A collection of videos, activities and worksheets that are suitable for A Level Maths. There are a mixture of questions from OCR A Solving modulus equations and inequalities involving one function of x The function y = |x | is made up of y = x and y = − x so to solve the equation two equations x = 4 and −x = 4 are solved. See graphs, real examples, and tips from Vedantu maths experts-start learning today! Test yourself and see if you understand how to solve Modulus Function Problems type of questions in LC Maths! In this article, we will learn about the modulus function definition and its properties, its domain and range, and how to apply this function. As with your exams, these questions cover every difficulty level from E to A* - we recommend not skipping the easier questions as they often trip students in exams. Download these Free Modulus Functions MCQ Quiz Pdf and prepare for your upcoming exams Like Banking, SSC, Railway, UPSC, State PSC. [4] Solve the inequality |x − 2| ≥ |x + We break down the definition of the function given in set-builder form and plot the graph by connecting points on the cartesian plane. to/3hE8kBL ). A curve C has equation y = f(x) Given that Questions and model answers on Modulus Functions for the Cambridge (CIE) A Level Maths: Pure 3 syllabus, written by the Maths experts at Save My Exams. Dec 20, 2025 · Get Modulus Functions Multiple Choice Questions (MCQ Quiz) with answers and detailed solutions. Extramarks This section will show you how to: understand and use the terms: function, domain, range (image set), one-one function, inverse function and composition of functions use the notation f(x) = 2x 3 + 5, f : x ↦ 5x – 3, f –1(x) and f 2(x) 30 y O P x Figure 2 Figure 2 shows a sketch of the graph with equation y = 2 | x + 4 | − 5 The vertex of the graph is at the point P, shown in Figure 2. txt) or read online for free. |x | = 4 , the N. The questions cover a range of topics involving absolute values and their properties. On this page you'll find plenty of questions on modulus functions from Cambridge iGCSE past papers. Answers are included Please provide feedback Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Modulus Function below. Feb 6, 2021 · This is a pdf on solving equations and inequations with the modulus function. The Modulus Function Questions Sheet 2 Q4. Cheat sheets, worksheets, questions by topic and model solutions for OCR (MEI) Maths AS and A-level Algebra and Functions Modulus Function Practice and Solutions This document contains practice problems for solving modulus equations and inequalities. Prove that sin4x+sin3x+sin2xcos4x+cos3x+cos2x = cot3x A committee of 7 has to be formed from 9 boys and 4 girls. Nice. The Modulus Function revision and practice questions. Maths Genie - AS and A Level Maths revision page including revision videos, exam questions and model solutions. He provides courses for Maths, Science and Computer Science at . Maths revision video and notes on the topic of modulus functions, graphs and solving modulus equations. Solving modulus equations You can also be expected to be able to solve equations involving modulus and non-modulus functions. wfvbvcbtvonglfcmrppzrepguobzplvrzjwqedgeqgzdcheyqezsgjar