{"id":34787,"date":"2026-03-11T17:02:40","date_gmt":"2026-03-11T10:02:40","guid":{"rendered":"https:\/\/times.edu.vn\/?p=34787"},"modified":"2026-03-30T15:05:40","modified_gmt":"2026-03-30T08:05:40","slug":"igcse-additional-maths-explain-questions","status":"publish","type":"post","link":"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths-explain-questions\/","title":{"rendered":"IGCSE Additional Maths Explain Questions: How to Write Clear, High-Scoring Answers in 2026"},"content":{"rendered":"<p><a href=\"https:\/\/times.edu.vn\/en\/igcse\/what-is-igcse-a-comprehensive-guide-for-students\/\">IGCSE<\/a>\u00a0Additional Maths \u201cexplain\u201d questions require you to <strong>justify<\/strong>\u00a0your answer with clear <strong>mathematical reasoning<\/strong>, not just calculations. To score highly, state the claim, cite the rule or definition, show the key steps through <strong>logical deduction<\/strong>, and finish with an explicit conclusion.<\/p>\n<p>Examiners reward precise links such as using <strong>gradient<\/strong>\u00a0and <strong>stationary points<\/strong>\u00a0to justify max\/min results, and strong <strong>contextual interpretation<\/strong>\u00a0in kinematics or rates-of-change problems. The most effective strategy is to use short, markable proof-style lines (with a supporting diagram only when needed) so every inference is visible and creditable.<\/p>\n<h2><strong>Answering IGCSE Additional Maths \u201cExplain\u201d Questions Effectively<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-34823\" src=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-11.webp\" alt=\"IGCSE Additional Maths Explain Questions: How to Write Clear, High-Scoring Answers in 2026\" width=\"1000\" height=\"558\" srcset=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-11.webp 1000w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-11-300x167.webp 300w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/3-11-768x429.webp 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p>\u201cExplain\u201d, \u201cShow\u201d, and \u201cProve\u201d are not \u201cextra writing\u201d tasks. They are assessments of <strong>mathematical reasoning<\/strong>: Whether you can justify each step through <strong>logical deduction<\/strong>, communicate a valid chain of implication, and interpret results correctly in context. If your work contains correct algebra but the reasoning is implicit, you often lose method marks because the examiner cannot award what is not shown.<\/p>\n<p>Based on our years of practical tutoring at Times Edu, the fastest improvement comes from treating \u201cexplain\u201d questions as a predictable genre. You use a fixed structure, targeted vocabulary, and a set of proof templates linked to the syllabus: Functions, calculus, vectors, coordinate geometry, and trig identities.<\/p>\n<h3><strong>What \u201cexplain\u201d really means in IGCSE Add Maths<\/strong><\/h3>\n<p>\u201cExplain\u201d means: <strong>S<\/strong><strong>tate the claim, cite the principle, apply it cleanly, and close the loop<\/strong>. Your explanation must be checkable line by line. You are not \u201cdescribing what you did\u201d; you are proving why your result must be true.<\/p>\n<p>A critical detail most students overlook in the 2026 exam cycle is how often examiners award marks for a single phrase that signals justification: \u201csince\u201d, \u201ctherefore\u201d, \u201chence\u201d, \u201cbecause\u201d, \u201cit follows that\u201d. This is not style; it is evidence of logical connection.<\/p>\n<h3><strong>A high-mark template you can reuse<\/strong><\/h3>\n<p>Use this four-line template for most IGCSE additional maths \u201cexplain\u201d questions:<\/p>\n<ul>\n<li><strong>Claim<\/strong>: Restate what you must show (in symbols if possible).<\/li>\n<li><strong>Reason<\/strong>: Name the rule\/theorem\/definition being used.<\/li>\n<li><strong>Link<\/strong>: Perform the algebra or transformation with minimal steps.<\/li>\n<li><strong>Close<\/strong>: Explicitly conclude the claim is proven \/ justified.<\/li>\n<\/ul>\n<p>This prevents the most common failure: Doing correct working but never stating the final justification.<\/p>\n<h3><strong>Common misconceptions that cost marks<\/strong><\/h3>\n<p>From our direct experience with international school curricula, the same misconceptions recur across schools:<\/p>\n<ul>\n<li><strong>Assuming instead of showing<\/strong>: Writing \u201cclearly\u201d or skipping the critical line that makes the argument valid.<\/li>\n<li><strong>Circular reasoning<\/strong>: Using the statement you are meant to prove as a step in the proof.<\/li>\n<li><strong>Unjustified graph claims<\/strong>: Saying \u201cit\u2019s increasing\u201d without linking to gradient or sign of derivative.<\/li>\n<li><strong>Stationary points confusion<\/strong>: Setting dy\/dx=0dy\/dx=0 and declaring \u201cmaximum\u201d without testing or reasoning.<\/li>\n<li><strong>Context errors<\/strong>: Giving a negative time, negative length, or non-physical value without <strong>contextual interpretation<\/strong>.<\/li>\n<\/ul>\n<p>You fix these by writing one sentence per reasoning hinge, not by writing longer solutions.<\/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-explain-questions\/\">IGCSE Maths \u201cExplain\u201d Questions<\/a> 2026: What Examiners Want + How to Get Full Marks<\/p>\n<h2><strong>Writing Logical Mathematical Explanations For High Marks<\/strong><\/h2>\n<p>Examiners award marks for structure, not storytelling. Your job is to make each step \u201cmarkable\u201d.<\/p>\n<h3><strong>Language that earns marks<\/strong><\/h3>\n<p>Use precise phrasing tied to <strong>justification<\/strong>:<\/p>\n<ul>\n<li>\u201cSince f\u2032(x)&gt;0f\u2032(x)&gt;0 for all xx in the domain, f(x)f(x) is increasing, so it is one-to-one.\u201d<\/li>\n<li>\u201cBecause b2\u22124ac&lt;0b2\u22124ac&lt;0, the quadratic has no real roots.\u201d<\/li>\n<li>\u201cUsing the chain rule, ddx(e2x)=e2x\u22c52=2e2xdxd\u200b(e2x)=e2x\u22c52=2e2x.\u201d<\/li>\n<li>\u201cAt stationary points, the <strong>gradient<\/strong>\u00a0is zero, so solve dy\/dx=0dy\/dx=0.\u201d<\/li>\n<\/ul>\n<p>Each sentence pins a rule to a step. That is the difference between \u201cworking\u201d and \u201cproof\u201d.<\/p>\n<h3><strong>Table: What to write for each command word<\/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 examiners want<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Typical mark loss<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>What to do instead<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Explain why<\/td>\n<td colspan=\"1\" rowspan=\"1\">Rule + link + conclusion<\/td>\n<td colspan=\"1\" rowspan=\"1\">Jumping to the answer<\/td>\n<td colspan=\"1\" rowspan=\"1\">State the rule, then apply it<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Show that<\/td>\n<td colspan=\"1\" rowspan=\"1\">Work that ends exactly at the given form<\/td>\n<td colspan=\"1\" rowspan=\"1\">Ending near it, not at it<\/td>\n<td colspan=\"1\" rowspan=\"1\">Aim for the target expression<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Prove<\/td>\n<td colspan=\"1\" rowspan=\"1\">A chain of equalities\/inequalities with reasons<\/td>\n<td colspan=\"1\" rowspan=\"1\">Using \u201cit is obvious\u201d<\/td>\n<td colspan=\"1\" rowspan=\"1\">Provide a clean logical deduction<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Hence<\/td>\n<td colspan=\"1\" rowspan=\"1\">Use previous result, no re-derivation<\/td>\n<td colspan=\"1\" rowspan=\"1\">Repeating earlier steps<\/td>\n<td colspan=\"1\" rowspan=\"1\">Start from the established result<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>This table is your decision tool in timed conditions. It keeps your response aligned with the marking scheme.<\/p>\n<h3><strong>Marking logic and grade boundaries: <\/strong><strong>W<\/strong><strong>hat matters for outcomes<\/strong><\/h3>\n<p>Grade boundaries shift by session and paper difficulty, but your control lever is stable: <strong>M<\/strong><strong>ethod marks and reasoning marks<\/strong>. Students chasing only final answers are exposed to any algebra slip, while students trained in mathematical reasoning still collect method credit.<\/p>\n<p>The pedagogical approach we recommend for high-achievers is to treat every \u201cexplain\u201d question as \u201cmarks distributed across steps\u201d. You target those steps intentionally: Definition, transformation, key inference, final statement.<\/p>\n<h3><strong>A practical \u201cproof skeleton\u201d for identities<\/strong><\/h3>\n<p>For trig or algebraic identities:<\/p>\n<ul>\n<li>Start from the more complex side.<\/li>\n<li>Transform using standard identities (factorisation, common denominators, trig identities).<\/li>\n<li>Keep each transformation on a new line.<\/li>\n<li>Finish exactly at the required form.<\/li>\n<\/ul>\n<p>Avoid mixing unrelated identities. One clean chain is higher scoring than a messy expansion, even if both can work.<\/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-study-plan\/\">IGCSE Maths Study Plan<\/a> for 2026: A Week-by-Week Schedule to Improve Fast<\/p>\n<h2><strong>Interpreting Contextual Problems In Kinematics And Rates Of Change<\/strong><\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-34825\" src=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-11.webp\" alt=\"IGCSE Additional Maths Explain Questions: How to Write Clear, High-Scoring Answers in 2026\" width=\"1000\" height=\"558\" srcset=\"https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-11.webp 1000w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-11-300x167.webp 300w, https:\/\/times.edu.vn\/wp-content\/uploads\/2026\/03\/4-11-768x429.webp 768w\" sizes=\"auto, (max-width: 1000px) 100vw, 1000px\" \/><\/p>\n<p>Context questions are where strong students lose marks through interpretation, not calculus. They compute correctly, then misread what the number means.<\/p>\n<h3><strong>The three-step model for contextual interpretation<\/strong><\/h3>\n<ol start=\"1\">\n<li><strong>Define variables with units<\/strong>: S(t)s(t) metres, tt seconds.<\/li>\n<li><strong>Link derivatives to meaning<\/strong>: V=ds\/dtv=ds\/dt, a=dv\/dta=dv\/dt.<\/li>\n<li><strong>Interpret sign and feasibility<\/strong>: Negative velocity means direction, negative time is invalid.<\/li>\n<\/ol>\n<p>Based on our years of practical tutoring at Times Edu, this reduces \u201csilly errors\u201d because it forces you to state the real-world meaning behind symbols.<\/p>\n<h3><strong>Table: Common rate-of-change prompts and what to write<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Prompt in question<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Mathematical object<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>What to explain<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Typical justification phrase<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">\u201cFind speed at time tt\u201d<\/td>\n<td colspan=\"1\" rowspan=\"1\">(<\/td>\n<td colspan=\"1\" rowspan=\"1\">v(t)<\/td>\n<td colspan=\"1\" rowspan=\"1\">)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">\u201cWhen are particles at rest?\u201d<\/td>\n<td colspan=\"1\" rowspan=\"1\">v(t)=0v(t)=0<\/td>\n<td colspan=\"1\" rowspan=\"1\">Rest means zero velocity<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cAt rest implies ds\/dt=0ds\/dt=0\u201d<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">\u201cMaximum height\u201d<\/td>\n<td colspan=\"1\" rowspan=\"1\">v(t)=0v(t)=0 and check<\/td>\n<td colspan=\"1\" rowspan=\"1\">Turning point in motion<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cAt turning point, velocity changes sign\u201d<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">\u201cRate increasing\/decreasing\u201d<\/td>\n<td colspan=\"1\" rowspan=\"1\">sign of a(t)a(t)<\/td>\n<td colspan=\"1\" rowspan=\"1\">acceleration controls velocity change<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cSince a(t)&gt;0a(t)&gt;0, velocity increases\u201d<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>This is how you turn calculus into marks: You connect the derivative to the story.<\/p>\n<h3><strong>Common misconceptions in kinematics<\/strong><\/h3>\n<ul>\n<li>Confusing \u201cat rest\u201d with \u201cstationary point of displacement\u201d without stating the link.<\/li>\n<li>Forgetting to apply absolute value for speed.<\/li>\n<li>Ignoring domain restrictions (time \u22650\u22650).<\/li>\n<li>Solving v(t)=0v(t)=0 but not stating what it means in context.<\/li>\n<\/ul>\n<p>In <strong>IGCSE additional maths \u201cexplain\u201d questions<\/strong>, the examiner expects you to write the interpretive sentence. If it is missing, you often lose the final mark even with correct maths.<\/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\/top-common-igcse-maths-mistakes-to-avoid\/\">Top Common IGCSE Maths Mistakes<\/a> to Avoid<\/p>\n<h2><strong>Justifying Your Method In Geometry And Vector Proofs<\/strong><\/h2>\n<p>Geometry and vectors are where <strong>proofs<\/strong>\u00a0become visual. The key is to translate diagrams into statements and then justify relationships.<\/p>\n<h3><strong>How to justify a geometry claim without over-writing<\/strong><\/h3>\n<p>Use a compact structure:<\/p>\n<ul>\n<li>State what you know (given facts).<\/li>\n<li>State the theorem (e.g., alternate angles, circle theorem, similarity condition).<\/li>\n<li>Apply it to the diagram.<\/li>\n<li>Conclude.<\/li>\n<\/ul>\n<p>Keep each line short and testable. Three lines with proper justification usually beat ten lines of vague description.<\/p>\n<h3><strong>Vector explanations: <\/strong><strong>W<\/strong><strong>hat examiners look for<\/strong><\/h3>\n<p>Vector questions often ask you to explain relationships like parallelism, collinearity, or a point dividing a line in a ratio.<\/p>\n<p>A reliable toolkit:<\/p>\n<ul>\n<li><strong>Parallel vectors<\/strong>: A\u20d7=kb\u20d7a=kb for scalar kk.<\/li>\n<li><strong>Collinearity<\/strong>: Position vectors satisfy OP\u20d7=OA\u20d7+\u03bbAB\u20d7OP=OA+\u03bbAB.<\/li>\n<li><strong>Midpoint<\/strong>: Average of position vectors.<\/li>\n<li><strong>Section formula<\/strong>: Divide in ratio m:nm:n using weighted average.<\/li>\n<\/ul>\n<p>What matters is the justification line: You must state why the scalar multiple implies parallelism, or why the parameter form implies a point lies on a line.<\/p>\n<h3><strong>Table: Vector relationship \u2192 explanation sentence<\/strong><\/h3>\n<table>\n<tbody>\n<tr>\n<th colspan=\"1\" rowspan=\"1\"><strong>Relationship<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Condition<\/strong><\/th>\n<th colspan=\"1\" rowspan=\"1\"><strong>Explanation sentence you should write<\/strong><\/th>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Parallel<\/td>\n<td colspan=\"1\" rowspan=\"1\">u\u20d7=kv\u20d7u=kv<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cSince one vector is a scalar multiple of the other, the directions are the same, so they are parallel.\u201d<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Collinear points<\/td>\n<td colspan=\"1\" rowspan=\"1\">OP\u20d7=OA\u20d7+\u03bbAB\u20d7OP=OA+\u03bbAB<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cBecause PP is expressed as a point on AA plus a scalar multiple of AB\u20d7AB, PP lies on line ABAB.\u201d<\/td>\n<\/tr>\n<tr>\n<td colspan=\"1\" rowspan=\"1\">Perpendicular<\/td>\n<td colspan=\"1\" rowspan=\"1\">u\u20d7\u22c5v\u20d7=0u\u22c5v=0<\/td>\n<td colspan=\"1\" rowspan=\"1\">\u201cZero dot product implies a right angle, so the vectors are perpendicular.\u201d<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>These sentences are not \u201cEnglish marks\u201d. They are explicit <strong>logical deductions<\/strong>.<\/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-additional-maths\/\">Ace IGCSE Additional Maths 0606<\/a> | Expert Tuition 2026<\/p>\n<h2><strong>The Role Of Mathematical Reasoning In Narrative Responses<\/strong><\/h2>\n<p>The highest-scoring students do not write more. They write with discipline.<\/p>\n<h3><strong>What \u201cnarrative\u201d means in Add Maths<\/strong><\/h3>\n<p>Narrative is the glue between steps: A\u00a0brief statement of reason, not a paragraph of commentary. Your reasoning should read like a proof, not like a diary.<\/p>\n<p>A strong response typically alternates:<\/p>\n<ul>\n<li>Algebra line<\/li>\n<li>Justification phrase<\/li>\n<li>Algebra line<\/li>\n<li>Conclusion<\/li>\n<\/ul>\n<p>This is how you turn methods into marks consistently across papers.<\/p>\n<h3><strong>Gradient and stationary points: <\/strong><strong>T<\/strong><strong>he most common scoring gap<\/strong><\/h3>\n<p>Students often know the mechanics but fail the justification step.<\/p>\n<p>You must separate three ideas:<\/p>\n<ul>\n<li><strong>Stationary point<\/strong>: Solve dy\/dx=0dy\/dx=0.<\/li>\n<li><strong>Nature<\/strong>\u00a0(max\/min): Justify using a second derivative test or sign change of dy\/dxdy\/dx.<\/li>\n<li><strong>Contextual interpretation<\/strong>: State what the maximum\/minimum represents in the problem.<\/li>\n<\/ul>\n<p>If the question says \u201cjustify\u201d, you need at least one explicit sentence linking your test to the conclusion.<\/p>\n<h3><strong>Choosing subjects for a strong university profile<\/strong><\/h3>\n<p>From our direct experience with international school curricula, IGCSE Additional Mathematics is a strategic signal for competitive pathways (STEM-heavy <a href=\"https:\/\/times.edu.vn\/en\/a-level\/what-is-a-level\/\">A-Level,<\/a>\u00a0<a href=\"https:\/\/times.edu.vn\/en\/ib\/the-ultimate-ib-diploma-program-ibdp-guide\/\">IB<\/a>\u00a0HL Maths, engineering, economics). It shows readiness for abstraction, proofs, and calculus.<\/p>\n<p>The risk is workload mismanagement. If you add IGCSE Add Maths without a structured reasoning method, students burn time on algebra drills and still lose marks on explain questions. A better plan is targeted reasoning practice: Proofs, interpretation, and the language of justification.<\/p>\n<p>Based on our years of practical tutoring at Times Edu, students with strong Add Maths reasoning often transition more smoothly into IB AA HL, A-Level Maths\/Further Maths, and <a href=\"https:\/\/times.edu.vn\/en\/ap\/what-are-ap-course\/\">AP<\/a>\u00a0Calculus because they already treat solutions as arguments, not computations.<\/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>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>How do I write an explanation in a math exam?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">Write it like a short proof: Claim, rule, application, conclusion. Use one justification phrase per key step such as \u201csince\u201d, \u201cbecause\u201d, or \u201ctherefore\u201d. Keep your explanation tightly linked to the marking point, not to a general description of your thinking.<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>What do examiners look for in &amp;quot;explain&amp;quot; questions?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">They look for visible <strong>mathematical reasoning<\/strong>: Correct definitions, valid <strong>logical deduction<\/strong>, and explicit <strong>justification<\/strong>\u00a0for each inference. They also look for accuracy in terminology such as gradient, stationary points, and domain. If the final answer is right but the reasoning is not shown, marks can still be lost.<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>Do I need to use full sentences in Add Maths explanations?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">Not always. You need complete mathematical statements, which can be short. A line like \u201cSince b2\u22124ac&lt;0b2\u22124ac&lt;0, no real roots\u201d is sufficient. Use full sentences when interpreting a result in context or when the logic could be misunderstood.<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>How to justify a maximum or minimum point in calculus?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">\n<p>First find stationary points by solving dy\/dx=0dy\/dx=0. Then justify the nature using either:<\/p>\n<ul>\n<li>Second derivative test (d2y\/dx2&lt;0d2y\/dx2&lt;0 maximum, &gt;0&gt;0 minimum), or<\/li>\n<li>Sign change of the first derivative around the point.<br \/>\nFinish with a clear statement linking to <strong>contextual interpretation<\/strong>\u00a0if it is an applied question.<\/li>\n<\/ul>\n<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>What is the best way to explain vector relationships?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">State the condition and its meaning. For parallel vectors, show one is a scalar multiple of the other. For collinearity, use a parameter form that places a point on a line. For perpendicular vectors, the dot product equals zero. Add a one-line explanation that converts the algebra into the geometric relationship.<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>How many lines should an explanation answer be?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">Use as many lines as needed to make each markable inference explicit, but avoid redundancy. Many high-mark explanations are 3\u20136 lines: One line per transformation plus one line for the conclusion. If you are writing more than 10 lines, you are usually repeating yourself or lacking a clean proof plan.<\/div>\n<\/div>\n<div class=\"thong-tin-dai\">\n<p class=\"tit-dai\"><strong>Can I use diagrams instead of words to explain?<\/strong><\/p>\n<div class=\"chi-tiet-thong-tin\">A diagram can support reasoning, but it rarely replaces it. Use diagrams to clarify geometry, sign changes, or shape, then add a short justification line that states the theorem or property you used. Examiners award marks for stated reasoning, not for drawings alone.<\/div>\n<\/div>\n<\/div>\n<p><strong>Conclusion<\/strong><\/p>\n<p><a href=\"https:\/\/times.edu.vn\/en\/\">Times Edu<\/a>\u00a0typically builds results by training students to master <strong>IGCSE additional maths \u201cexplain\u201d questions<\/strong>\u00a0as a system: Proof templates, reasoning language, and targeted practice on gradient, stationary points, and contextual interpretation.<\/p>\n<p>If you would like a personalized plan, we can map your current performance to a structured weekly programme aligned to your school timetable and your intended A-Level\/IB\/AP pathway, then identify which topics and question types will produce the fastest mark gains.<\/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;34787&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 Explain Questions: How to Write Clear, High-Scoring Answers in 2026&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\u00a0Additional Maths \u201cexplain\u201d questions require you to justify\u00a0your answer with clear mathematical reasoning, not just calculations. To score highly, state the claim, cite the rule or definition, show the key steps through logical deduction, and finish with an explicit conclusion. Examiners reward precise links such as using gradient\u00a0and stationary points\u00a0to justify max\/min results, and strong &#8230; <a title=\"IGCSE Additional Maths Explain Questions: How to Write Clear, High-Scoring Answers in 2026\" class=\"read-more\" href=\"https:\/\/times.edu.vn\/en\/igcse\/igcse-additional-maths-explain-questions\/\" aria-label=\"Read more about IGCSE Additional Maths Explain Questions: How to Write Clear, High-Scoring Answers in 2026\">Read more<\/a><\/p>\n","protected":false},"author":7,"featured_media":34788,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"content-type":"","rank_math_title":"","rank_math_description":"","footnotes":""},"categories":[166],"tags":[],"class_list":["post-34787","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\/34787","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=34787"}],"version-history":[{"count":5,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34787\/revisions"}],"predecessor-version":[{"id":36925,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/posts\/34787\/revisions\/36925"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/media\/34788"}],"wp:attachment":[{"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/media?parent=34787"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/categories?post=34787"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/times.edu.vn\/en\/wp-json\/wp\/v2\/tags?post=34787"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}