{"id":34863,"date":"2026-03-12T14:00:59","date_gmt":"2026-03-12T07:00:59","guid":{"rendered":"https:\/\/times.edu.vn\/?p=34863"},"modified":"2026-05-09T07:15:40","modified_gmt":"2026-05-09T00:15:40","slug":"igcse-additional-maths-command-words","status":"publish","type":"post","link":"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths-command-words\/","title":{"rendered":"IGCSE Additional Maths 0606 Command Words: Decode Exam Questions"},"content":{"rendered":"<p><a href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths\/\">IGCSE Additional Maths<\/a>\u00a0command words are the action verbs in exam questions (e.g., <strong>Calculate, Solve, Show that, Prove, Sketch, Factorize<\/strong>) that tell you exactly what the examiner expects you to do and how marks are awarded in the marking scheme.<\/p>\n<p>They indicate the required level of working, reasoning, and mathematical notation, including when to present a formal proof versus a short method-based solution. Interpreting them correctly protects method marks, prevents avoidable losses from accuracy and significant figures, and improves time management across the paper.<\/p>\n<p>Mastering these command words is a high-impact strategy because it aligns your answers directly with assessment objectives and examiner expectations.<\/p>\n<h2><strong>Decoding IGCSE Additional Maths Command Words for Better Marks<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-34904\" src=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-12.webp\" alt=\"IGCSE Additional Maths Command Words: How to Understand Exam Questions More Accurately in 2026\" width=\"1000\" height=\"558\" srcset=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-12.webp 1000w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-12-300x167.webp 300w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-12-768x429.webp 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p><strong>IGCSE Additional Maths command words<\/strong>\u00a0are not \u201cdecorative\u201d exam language. They are <strong>action verbs<\/strong>\u00a0that tell you exactly what the examiner is assessing and how the <strong>marking scheme<\/strong>\u00a0awards credit.<\/p>\n<p>If you answer the mathematics correctly but ignore the command word, you can still lose marks because you failed the intended <strong>assessment objectives<\/strong>(method, reasoning, communication), not because your final number was wrong.<\/p>\n<p>Based on our years of practical tutoring at Times Edu, students improve fastest when they treat command words as a checklist: <strong>W<\/strong><strong>hat to write, how much work to show, which mathematical notation to use, and how to present accuracy<\/strong>\u00a0(including rounding and <strong>significant figures<\/strong>). This is not \u201cexam trickery.\u201d It is how Cambridge-style assessments standardise marking across thousands of scripts.<\/p>\n<h3><strong>Why command words matter more than students expect<\/strong><\/h3>\n<p>A critical detail most students overlook in the 2026 exam cycle is that many high-difficulty questions are not \u201chard\u201d because of algebra or calculus alone.<\/p>\n<p>They are hard because they mix a technical step with a command word that requires a specific presentation standard\u2014especially for <strong>Proof<\/strong>, <strong>Show that<\/strong>, and multi-part questions using <strong>Hence<\/strong>.<\/p>\n<p>The examiner does not read your mind. The marking scheme rewards what is on the page: The correct method, correct structure, and correct notation. Command words are the easiest marks to protect because they are predictable.<\/p>\n<p><strong>Common misconceptions that cost marks<\/strong><\/p>\n<ul>\n<li>Believing \u201cI got the right answer, so my steps don\u2019t matter\u201d under <strong>Calculate<\/strong>, <strong>Show that<\/strong>, or <strong>Prove<\/strong>.<\/li>\n<li>Treating <strong>Sketch<\/strong>\u00a0like <strong>Plot<\/strong>, then wasting time drawing a scale grid no one asked for.<\/li>\n<li>Misreading <strong>Hence<\/strong>\u00a0as \u201crepeat the previous answer\u201d rather than \u201cuse the previous result to derive the new result efficiently.\u201d<\/li>\n<li>Ignoring <strong>Accuracy<\/strong>\u00a0requirements (rounding, units, <strong>significant figures<\/strong>) when the command word is <strong>Evaluate<\/strong>\u00a0or <strong>Calculate<\/strong>.<\/li>\n<\/ul>\n<p><strong style=\"color: #f00;\">&gt;&gt;&gt; Read more:<\/strong> <a class=\"xem-them-link\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths-study-plan\/\">IGCSE Additional Maths Study Plan<\/a> 2026: A Week-by-Week Schedule for Tough Topics<\/p>\n<h2><strong>Understanding the Difference Between Solve and Show That<\/strong><\/h2>\n<p>Students often treat \u201c<strong>Solve\u201d<\/strong>\u00a0and \u201c<strong>Show that\u201d<\/strong>\u00a0as\u00a0interchangeable. They are not, and the marking scheme reflects that difference.<\/p>\n<h3><strong>Solve: <\/strong><strong>Y<\/strong><strong>ou must find unknown(s) and communicate the solution set<\/strong><\/h3>\n<p>When a question says \u201c<strong>Solve\u201d<\/strong>, the examiner wants the value(s) of the variable that satisfies an equation or condition. You should present a clean final line such as \u201cx=\u2026x=\u2026\u201d Or \u201cx\u2208{\u2026 }x\u2208{\u2026}\u201d Where appropriate.<\/p>\n<p><strong>What the marking scheme typically rewards for Solve<\/strong><\/p>\n<ul>\n<li>Correct algebraic transformation steps.<\/li>\n<li>Correct handling of extraneous solutions (common with squaring or denominators).<\/li>\n<li>A final answer clearly stated, often in simplest exact form unless decimals are requested.<\/li>\n<\/ul>\n<p><strong>Solve checklist<\/strong><\/p>\n<ul>\n<li>Start from the given equation\/condition.<\/li>\n<li>Manipulate logically with valid operations.<\/li>\n<li>If you multiply by an expression, note domain restrictions when needed.<\/li>\n<li>Conclude with a clear solution statement using correct <strong>mathematical notation<\/strong>.<\/li>\n<\/ul>\n<h3><strong>Show that: <\/strong><strong>Y<\/strong><strong>ou must justify a given result with a structured chain of reasoning<\/strong><\/h3>\n<p><strong>\u201c<\/strong><strong>Show that\u201d<\/strong>\u00a0means the endpoint is already given. The examiner is assessing whether your method and reasoning could convincingly lead to the stated result. You are not trying to \u201cdiscover\u201d the answer; you are proving you can reach it correctly.<\/p>\n<p><strong>A strong Show that structure<\/strong><\/p>\n<ul>\n<li>Start from the left-hand side (LHS) and transform to the right-hand side (RHS), or vice versa.<\/li>\n<li>Do not jump steps that hide key algebra.<\/li>\n<li>Use equality signs correctly in a continuous chain.<\/li>\n<li>Avoid writing the target statement first as if it is true without evidence.<\/li>\n<\/ul>\n<p><strong>A marking-scheme-reliable template<\/strong><\/p>\n<ul>\n<li>LHS<br \/>\n== \u2026<br \/>\n== \u2026<br \/>\n== RHS<\/li>\n<\/ul>\n<p>If you only write the final statement without the linking evidence, you typically earn minimal credit even if the endpoint matches.<\/p>\n<h3><strong>\u201cSolve\u201d vs \u201cShow that\u201d: <\/strong><strong>S<\/strong><strong>ide-by-side comparison<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Command word<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>What the examiner is testing<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>What you must produce<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Common mark loss<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Solve<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Finding correct unknown(s) and solution set<\/td>\n<td colspan=\"1\" rowspan=\"1\">Values of variable(s), clearly stated<\/td>\n<td colspan=\"1\" rowspan=\"1\">Missing solutions, extra solutions, unclear final line<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Show that<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Reasoning and method leading to a given result<\/td>\n<td colspan=\"1\" rowspan=\"1\">A justified sequence of equalities or steps<\/td>\n<td colspan=\"1\" rowspan=\"1\">Starting by assuming the result, skipping key steps<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>From our direct experience with international school curricula, many students who are \u201cgood at maths\u201d lose disproportionate marks because they write like problem-solvers, not like exam communicators. \u201c<strong>Show that\u201d<\/strong>\u00a0is communication-heavy by design.<\/p>\n<p><strong style=\"color: #f00;\">&gt;&gt;&gt; Read more:<\/strong> <a class=\"xem-them-link\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-maths-command-words\/\">IGCSE Maths Command Words<\/a> 2026: What They Mean and How to Answer for Full Marks<\/p>\n<h2><strong>How to Interpret Instructions Like Sketch and Plot<\/strong><\/h2>\n<p>Graph-based command words are a frequent source of avoidable errors. The difference between <strong>Sketch<\/strong>\u00a0and <strong>Plot<\/strong>\u00a0is not artistic; it is procedural, and it affects time management.<\/p>\n<h3><strong>Sketch: <\/strong><strong>K<\/strong><strong>ey features matter, not perfect scale<\/strong><\/h3>\n<p>A <strong>Sketch<\/strong>\u00a0is a freehand representation showing the essential behaviour of the function. It usually does not require a precise scale unless explicitly stated.<\/p>\n<p><strong>What to include in a Sketch<\/strong><\/p>\n<ul>\n<li>Intercepts (x- And y-intercepts) when they are accessible.<\/li>\n<li>Turning points (max\/min) or stationary points if relevant.<\/li>\n<li>Asymptotes (vertical\/horizontal\/oblique) if they exist.<\/li>\n<li>End behaviour (how the graph behaves as x\u2192\u00b1\u221ex\u2192\u00b1\u221e).<\/li>\n<li>Correct general shape (e.g., cubic \u201cS-shape,\u201d reciprocal branches).<\/li>\n<\/ul>\n<p><strong>Sketch checklist (fast, exam-safe)<\/strong><\/p>\n<ul>\n<li>Find intercepts quickly.<\/li>\n<li>Identify symmetry if present (odd\/even).<\/li>\n<li>Find key points from prior parts of the question.<\/li>\n<li>Indicate asymptotes with dashed lines if appropriate.<\/li>\n<li>Label key coordinates clearly, even if not to scale.<\/li>\n<\/ul>\n<h3><strong>Plot: <\/strong><strong>A<\/strong><strong>ccuracy and scale are part of the assessment objectives<\/strong><\/h3>\n<p><strong>Plot<\/strong>\u00a0usually implies you are given a table of values or asked to generate one, then place points accurately on axes with a scale and draw the curve\/line accordingly.<\/p>\n<p><strong>What to include in a Plot<\/strong><\/p>\n<ul>\n<li>A sensible, even scale on both axes.<\/li>\n<li>Correctly placed points with reasonable accuracy.<\/li>\n<li>A clear curve or straight line drawn through points.<\/li>\n<li>Labels for axes and units if relevant.<\/li>\n<\/ul>\n<h3><strong>Sketch vs Plot comparison<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Command word<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Scale required?<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Data points required?<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>What earns marks<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Sketch<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Usually no<\/td>\n<td colspan=\"1\" rowspan=\"1\">Not necessarily<\/td>\n<td colspan=\"1\" rowspan=\"1\">Features, shape, intercepts, asymptotes, turning points<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Plot<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Yes, typically<\/td>\n<td colspan=\"1\" rowspan=\"1\">Yes<\/td>\n<td colspan=\"1\" rowspan=\"1\">Accurate points, correct scale, appropriate curve\/line<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>Based on our years of practical tutoring at Times Edu, students often waste time over-engineering sketches. A sketch is a communication tool: Show what matters and move on.<\/p>\n<p><strong style=\"color: #f00;\">&gt;&gt;&gt; Read more:<\/strong> <a class=\"xem-them-link\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-maths-mock-improvement-plan\/\">IGCSE Maths Mock Improvement Plan<\/a> 2026: A Practical Strategy to Raise Your Grade<\/p>\n<h2><strong>What Examiners Expect When They Use the Word &#8220;Hence&#8221;<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-34906\" src=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-12.webp\" alt=\"IGCSE Additional Maths Command Words: How to Understand Exam Questions More Accurately in 2026\" width=\"1000\" height=\"558\" srcset=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-12.webp 1000w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-12-300x167.webp 300w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-12-768x429.webp 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p><strong>Hence<\/strong>\u00a0is one of the most strategically important command words in IGCSE Additional Mathematics. It signals efficiency and logical dependence between parts of a question.<\/p>\n<h3><strong>Hence: <\/strong><strong>U<\/strong><strong>se the previous result as a tool, not a decoration<\/strong><\/h3>\n<p>When you see <strong>Hence<\/strong>, the examiner expects you to use a previously derived result to get to the new answer with minimal additional work. The marking scheme commonly allocates marks for:<\/p>\n<ul>\n<li>Correct use of the earlier result.<\/li>\n<li>A short chain of reasoning to reach the new result.<\/li>\n<li>Appropriate notation and clarity.<\/li>\n<\/ul>\n<p><strong>Typical hence pattern<\/strong><\/p>\n<ul>\n<li>Part (a): Derive a relationship\/result.<\/li>\n<li>Part (b): \u201cHence\u201d use that relationship to find a value, prove a new statement, or simplify a new expression.<\/li>\n<\/ul>\n<p>If you ignore the prior result and solve part (b) from scratch, you may still get marks, but you often lose efficiency and risk mistakes. In time-pressured papers, that trade-off is rarely worth it.<\/p>\n<h3><strong>\u201cHence or otherwise\u201d: <\/strong><strong>Y<\/strong><strong>ou have permission to choose your method<\/strong><\/h3>\n<p><strong>Hence or otherwise<\/strong>\u00a0means Cambridge expects the \u201chence\u201d method to work neatly, but allows alternative approaches. This phrase matters for strategy:<\/p>\n<ul>\n<li>If the \u201chence\u201d route\u00a0is clear, it is usually the fastest.<\/li>\n<li>If you are stuck on part (a), you can still attempt part (b) using another method.<\/li>\n<\/ul>\n<p>The pedagogical approach we recommend for high-achievers is to train both routes: The exam-efficient hence route, and a robust \u201cotherwise\u201d fallback in case earlier parts fail.<\/p>\n<h3><strong>Common misconception with Hence<\/strong><\/h3>\n<p>Students think <strong>Hence<\/strong>\u00a0means \u201crepeat the previous answer.\u201d The correct interpretation is \u201cuse the previous answer as a lever.\u201d You must still show at least a few steps linking the earlier result to the new one, aligned to the assessment objectives.<\/p>\n<p><strong style=\"color: #f00;\">&gt;&gt;&gt; Read more:<\/strong> <a class=\"xem-them-link\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-maths-past-paper-strategy\/\">IGCSE Maths Past Paper Strategy<\/a> for 2026: How to Practice Smarter and Raise Your Grade<\/p>\n<h2><strong>Precise Definitions of Calculate and Write Down<\/strong><\/h2>\n<p>These command words look easy, but they are frequent sources of careless mark loss because they carry hidden expectations around working, rounding, and presentation.<\/p>\n<h3><strong>Calculate: <\/strong><strong>M<\/strong><strong>ethod marks exist even if the final number is wrong<\/strong><\/h3>\n<p><strong>Calculate<\/strong>\u00a0requires you to compute a numerical answer, typically showing sufficient working. If the marking scheme includes method marks, clear steps protect you when arithmetic slips.<\/p>\n<p><strong>Calculate checklist<\/strong><\/p>\n<ul>\n<li>Show the formula or transformation you used.<\/li>\n<li>Substitute correctly.<\/li>\n<li>Present the final value clearly.<\/li>\n<li>Apply the required <strong>Accuracy<\/strong>\u00a0(rounding rules) and <strong>significant figures<\/strong>\u00a0if specified.<\/li>\n<\/ul>\n<p>If the question does not specify rounding, exact values (fractions, surds, \u03c0\u03c0) are often preferred where appropriate. If you choose decimals, be consistent and avoid premature rounding.<\/p>\n<h3><strong>Write down \/ State: <\/strong><strong>M<\/strong><strong>inimal working, but absolute precision<\/strong><\/h3>\n<p><strong>Write down<\/strong>\u00a0or <strong>State<\/strong>\u00a0means the examiner expects an answer directly from a known result, a graph, or information already established. No full derivation is required.<\/p>\n<p><strong>What can still go wrong<\/strong><\/p>\n<ul>\n<li>Writing an ambiguous answer (e.g., missing \u201c\u00b1\u00b1\u201d or domain).<\/li>\n<li>Copying a value incorrectly from earlier work.<\/li>\n<li>Giving a decimal when an exact value is expected.<\/li>\n<\/ul>\n<h3><strong>Calculate vs Write down comparison<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Command word<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Working expected?<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Typical risk<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Best practice<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Calculate<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Yes, enough to award method marks<\/td>\n<td colspan=\"1\" rowspan=\"1\">Losing method marks by skipping steps; rounding errors<\/td>\n<td colspan=\"1\" rowspan=\"1\">Show substitutions and key steps; manage accuracy<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Write down \/ State<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">No formal working<\/td>\n<td colspan=\"1\" rowspan=\"1\">Precision errors; missing conditions<\/td>\n<td colspan=\"1\" rowspan=\"1\">Give a clean, exact statement using correct notation<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>From our direct experience with international school curricula, students who master this distinction gain \u201cfree marks\u201d because they stop overspending time on Write down tasks and stop underwriting Calculate tasks.<\/p>\n<p><strong style=\"color: #f00;\">&gt;&gt;&gt; Read more:<\/strong> <a class=\"xem-them-link\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-tutor\/\">IGCSE Tutor<\/a> 2026: How to Choose the Right One<\/p>\n<h2><strong>Building a Command-Word System Using Marking Schemes and Assessment Objectives<\/strong><\/h2>\n<p>If you want a dependable improvement, stop memorising definitions in isolation. Build a system that links <strong>IGCSE Additional Maths command words<\/strong>\u00a0to the <strong>marking scheme<\/strong>\u00a0logic and <strong>assessment objectives<\/strong>.<\/p>\n<h3><strong>Practical mapping: <\/strong><strong>C<\/strong><strong>ommand word \u2192 examiner behaviour<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Command word<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Examiner expects<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Notation expectations<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Typical pitfalls<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Simplify<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Equivalent expression in simplest form<\/td>\n<td colspan=\"1\" rowspan=\"1\">Clear algebraic steps<\/td>\n<td colspan=\"1\" rowspan=\"1\">Leaving factors that can cancel; messy final form<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Expand<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Multiply out brackets correctly<\/td>\n<td colspan=\"1\" rowspan=\"1\">Correct distributive steps<\/td>\n<td colspan=\"1\" rowspan=\"1\">Sign errors; missing terms<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Factorise<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Express as product of factors<\/td>\n<td colspan=\"1\" rowspan=\"1\">Factor form, not expanded<\/td>\n<td colspan=\"1\" rowspan=\"1\">Partial factorisation only<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Evaluate<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Numerical value for given input<\/td>\n<td colspan=\"1\" rowspan=\"1\">Substitution, accurate arithmetic<\/td>\n<td colspan=\"1\" rowspan=\"1\">Substituting incorrectly; rounding early<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Prove<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Formal logical argument<\/td>\n<td colspan=\"1\" rowspan=\"1\">Structured proof, justified steps<\/td>\n<td colspan=\"1\" rowspan=\"1\">Assuming what you must prove<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Sketch<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Key graph behaviour<\/td>\n<td colspan=\"1\" rowspan=\"1\">Labels, key points<\/td>\n<td colspan=\"1\" rowspan=\"1\">Plotting with scale; missing asymptotes<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\"><strong>Differentiate \/ Integrate<\/strong><\/td>\n<td colspan=\"1\" rowspan=\"1\">Correct calculus operation<\/td>\n<td colspan=\"1\" rowspan=\"1\">Proper derivative\/integral notation + +C+C where required<\/td>\n<td colspan=\"1\" rowspan=\"1\">Forgetting constant; rule misuse<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><strong>Accuracy and significant figures: <\/strong><strong>T<\/strong><strong>he silent mark thief<\/strong><\/h3>\n<p>Accuracy is often not a separate \u201cmath topic,\u201d but it is an assessment objective linked to communication and correctness. If the paper specifies <strong>3 significant figures<\/strong>\u00a0and you give 2 d.p., you risk losing the final accuracy mark even with the correct method.<\/p>\n<p><strong>Accuracy discipline we teach<\/strong><\/p>\n<ul>\n<li>Carry exact values through algebra whenever possible.<\/li>\n<li>Round only at the end unless instructed.<\/li>\n<li>If using decimals mid-way, keep extra digits and round at the final line.<\/li>\n<li>State the rounding explicitly when needed: \u201cx=2.36x=2.36 (3 s.f.)\u201d.<\/li>\n<\/ul>\n<h2><strong>Grade Boundaries, Performance Strategy, and Subject Choice for Study Abroad Profiles<\/strong><\/h2>\n<p>Grade boundaries vary by session, and you should not chase a single \u201cmagic score.\u201d What matters is building a repeatable method to secure marks across the full paper, especially the command-word-driven marks that are easiest to control.<\/p>\n<h3><strong>Where marks are commonly won and lost<\/strong><\/h3>\n<p>Based on our years of practical tutoring at Times Edu, the majority of lost marks among capable students come from:<\/p>\n<ul>\n<li>Incomplete reasoning in <strong>Show that<\/strong>\u00a0and <strong>Prove<\/strong>.<\/li>\n<li>Weak presentation for <strong>Solve<\/strong>\u00a0(missing solutions, unclear set).<\/li>\n<li>Misinterpretation of <strong>Sketch<\/strong>, <strong>Plot<\/strong>, and <strong>Hence<\/strong>.<\/li>\n<li>Rounding and <strong>significant figures<\/strong>\u00a0errors under <strong>Calculate<\/strong>\u00a0and <strong>Evaluate<\/strong>.<\/li>\n<\/ul>\n<p>This matters for grade outcomes because these errors scale across the paper. They are not \u201cone-off mistakes,\u201d but repeated leakage.<\/p>\n<h3><strong>Academic pathway choices: <\/strong><strong>H<\/strong><strong>ow Additional Maths fits a strong application<\/strong><\/h3>\n<p>For selective university pathways, Additional Maths is not only about content. It signals:<\/p>\n<ul>\n<li>Readiness for algebraic and calculus-based thinking,<\/li>\n<li>Comfort with mathematical notation and formal reasoning,<\/li>\n<li>Capacity to handle proof-style logic (useful for IB HL Maths, A-Level Maths\/Further Maths, AP Calculus\/Statistics depending on pathway).<\/li>\n<\/ul>\n<p>From our direct experience with international school curricula, the students who benefit most are those targeting STEM-heavy programs or competitive schools where quantitative readiness is scrutinised. If your intended major is non-STEM, Additional Maths can still be valuable, but it must be balanced against overall GPA, language requirements, and extracurricular positioning.<\/p>\n<p>The pedagogical approach we recommend for high-achievers is to align subject selection with a planned progression (IGCSE \u2192 IB\/A-Level\/AP), then build a portfolio narrative around academic rigor plus measurable outcomes.<\/p>\n<h2><strong>Exam-Ready Training Plan for IGCSE Additional Maths Command Words<\/strong><\/h2>\n<p>To make <strong>IGCSE Additional Maths command words<\/strong>\u00a0automatic, you need deliberate practice, not passive reading.<\/p>\n<h3><strong>Step-by-step training protocol (Times Edu method)<\/strong><\/h3>\n<ul>\n<li><strong>Step 1: Build a command-word glossary. <\/strong>Create a one-page sheet with definitions and \u201cwhat to write\u201d expectations for each command word.<\/li>\n<li><strong>Step 2: Convert marking schemes into patterns. <\/strong>For each command word, collect 5\u201310 examples and note what earned the method marks.<\/li>\n<li><strong>Step 3: Drill with timed micro-sets. <\/strong>Do 10-minute sets focused on one command word category: Proof\/justification, algebra solving, graph interpretation, accuracy.<\/li>\n<li><strong>Step 4: Error log using examiner language. <\/strong>Classify errors as \u201ccommand-word error,\u201d \u201cnotation error,\u201d \u201caccuracy error,\u201d or \u201cconcept error.\u201d<\/li>\n<li><strong>Step 5: Weekly mixed-paper simulation. <\/strong>Mix topics and command words, because the exam does not isolate skills.<\/li>\n<\/ul>\n<p>A critical detail most students overlook in the 2026 exam cycle is that command words are a repeatable advantage. Once trained, they stop being a risk and become a scoring framework.<\/p>\n<h2><strong>Frequently Asked Questions<\/strong><\/h2>\n<div class=\"hoi-dap-thok-new low-faq\">\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>What are the most common command words in IGCSE Add Maths?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p>The most frequent <strong>IGCSE Additional Maths command words<\/strong>\u00a0tend to be <strong>Calculate<\/strong>, <strong>Solve<\/strong>, <strong>Show that<\/strong>, <strong>Prove<\/strong>, <strong>Simplify<\/strong>, <strong>Expand<\/strong>, <strong>Factorise<\/strong>, <strong>Sketch<\/strong>, <strong>Evaluate<\/strong>, and calculus instructions such as <strong>Differentiate<\/strong>\u00a0and <strong>Integrate<\/strong>.These are the action verbs that appear repeatedly because they map cleanly to assessment objectives and marking-scheme structures.<\/p>\n<p>From our direct experience with international school curricula, the most time-efficient preparation is to master the top 10 command words first, then add less common verbs like <strong>Compare<\/strong>\u00a0and <strong>Describe<\/strong>\u00a0once your core execution is consistent.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>Does &amp;quot;show that&amp;quot; require a step-by-step proof?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p><strong>Show that<\/strong>\u00a0requires a structured justification, but it is not always a full formal proof in the same style as <strong>Prove<\/strong>. You must present a clear chain of steps that leads to the given result, using correct <strong>mathematical notation<\/strong>\u00a0and without assuming what you are trying to establish.Based on our years of practical tutoring at Times Edu, the safest approach is to write enough steps that the marking scheme can award method marks even if a minor algebra slip occurs later.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>What does &amp;quot;hence or otherwise&amp;quot; mean in an exam?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p><strong>Hence or otherwise<\/strong>\u00a0means you may use the previous part\u2019s result (<strong>hence<\/strong>) or choose an alternative method (<strong>otherwise<\/strong>). It is designed to keep the paper fair: Students who struggled earlier are not completely blocked from later marks.The pedagogical approach we recommend for high-achievers is to practice both the hence pathway and a backup method, so your score is not overly dependent on one earlier step.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>How many marks are lost for ignoring command words?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p>The mark loss depends on how the marking scheme allocates method and reasoning marks, but ignoring command words can cost anything from a single communication mark to most of the questions. A correct final answer may still earn limited credit if the command word demanded a method, a proof, or a particular representation.Based on our years of practical tutoring at Times Edu, the highest losses occur when students answer <strong>Prove<\/strong>\u00a0as if it were <strong>Solve<\/strong>, or treat <strong>Show that<\/strong>\u00a0as a one-line conclusion.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>Do I need a scale drawing when the word &amp;quot;sketch&amp;quot; is used?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p>Usually, no. <strong>Sketch<\/strong>\u00a0typically requires the key features and correct shape without a precise scale, unless the question explicitly requests a scale or a plotted graph. You should prioritise intercepts, turning points, asymptotes, and overall behaviour.From our direct experience with international school curricula, over-plotting sketches is one of the most common time-management errors among strong students.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>What is the difference between simplify and factorise?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p><strong>Simplify<\/strong>\u00a0means rewriting an expression in a simpler equivalent form, often by cancelling, combining like terms, or reducing complexity. <strong>Factorise<\/strong>\u00a0means express an expression as a product of factors, such as extracting a common factor or writing a quadratic as (x\u2212a)(x\u2212b)(x\u2212a)(x\u2212b) where possible.A marking-scheme-reliable rule is: If the final form is a product, you are factorising; if the final form is reduced but not necessarily a product, you are simplifying.<\/p>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>Where can I find the official list of IGCSE command verbs?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p>The official command-word guidance is typically found in the syllabus and assessment documentation for your specific exam board and syllabus code. Schools also often provide examiner command-word glossaries aligned to their chosen specification.Based on our years of practical tutoring at Times Edu, we advise students to cross-check the wording used in their actual past papers and marking schemes, because that is where the practical interpretation is most consistent.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<h4>Conclusion<\/h4>\n<p>If you are aiming for top grades, treat <strong>IGCSE Additional Maths command words<\/strong>\u00a0as a scoring system, not vocabulary. The fastest gains come from aligning your working, proof structure, notation, and accuracy to what the marking scheme consistently rewards.<\/p>\n<p>Based on our years of practical tutoring at <a href=\"https:\/\/times.edu.vn\/en\/\">Times Edu<\/a>, we can diagnose your current script style in one session, then build a personalized roadmap that links command-word execution to your broader pathway (<a href=\"https:\/\/times.edu.vn\/en\/ib\/the-ultimate-ib-diploma-program-ibdp-guide\/\">IB<\/a>, <a href=\"https:\/\/times.edu.vn\/en\/a-level\/what-is-a-level\/\">A-Level<\/a>, <a href=\"https:\/\/times.edu.vn\/en\/ap\/what-are-ap-course\/\">AP<\/a>) and your study abroad profile. If you want a targeted plan for your current level, your school timeline, and your university goals, contact Times Edu for a 1:1 academic consultation and a personalized preparation track.<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-right kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;right&quot;,&quot;id&quot;:&quot;34863&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;1&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;5&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;\u0110\u00e1nh gi\u00e1 b\u00e0i vi\u1ebft&quot;,&quot;legend&quot;:&quot;5\\\/5 - (1 vote)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;IGCSE Additional Maths 0606 Command Words: Decode Exam Questions&quot;,&quot;width&quot;:&quot;142.5&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 142.5px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            5\/5 - (1 vote)    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>IGCSE Additional Maths\u00a0command words are the action verbs in exam questions (e.g., Calculate, Solve, Show that, Prove, Sketch, Factorize) that tell you exactly what the examiner expects you to do and how marks are awarded in the marking scheme. They indicate the required level of working, reasoning, and mathematical notation, including when to present a &#8230; <a title=\"IGCSE Additional Maths 0606 Command Words: Decode Exam Questions\" class=\"read-more\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths-command-words\/\" aria-label=\"Read more about IGCSE Additional Maths 0606 Command Words: Decode Exam Questions\">Read more<\/a><\/p>\n","protected":false},"author":7,"featured_media":34864,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"content-type":"","rank_math_title":"","rank_math_description":"Master IGCSE Additional Maths 0606 command words: Calculate, Solve, Show that, Prove, Sketch, Hence, Factorize. Mark scheme expectations and worked examples for A*.","footnotes":""},"categories":[166],"tags":[],"class_list":["post-34863","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-igcse"],"_links":{"self":[{"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34863","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/comments?post=34863"}],"version-history":[{"count":5,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34863\/revisions"}],"predecessor-version":[{"id":39762,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34863\/revisions\/39762"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/media\/34864"}],"wp:attachment":[{"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=34863"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=34863"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=34863"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}