Overview
A 7 in IB Mathematics: Analysis and Approaches comes down to one habit more than any other: showing valid method every single time. Because papers are marked with separate method and accuracy marks, you can misread a value, mis-key your calculator, or finish with the wrong number and still bank most of the marks — but only if your working is on the page. This guide explains exactly how AA marking works, how to play Paper 1, Paper 2 and HL's Paper 3, and the weekly system that turns a 5 into a 7.
What a 7 actually takes
For the IB Diploma Programme, a 7 is the top grade, and grade boundaries are set each session — historically somewhere around the high-60s to mid-70s percent for the top band, lower than most students fear. That matters, because it means you do not need a flawless script. Method marks make maths unusually forgiving: on a typical question you might have three or four marks available, and only the last one depends on the final answer being correct. Miss it and you still keep the rest.
So a 7 is not about never making mistakes. It is about consistently reaching the top of each question's available marks by writing clear, complete method — and adding a strong exploration (IA), which is marked against its own criteria and can lift or sink your overall grade before you sit a single paper.
How marks work (the most useful thing to understand)
For the IB Diploma Programme, every AA mark scheme uses the official mathematics conventions. Learn what each label means and you will stop throwing marks away:
- M — method. Awarded for a valid, complete approach (setting up the right integral, the right equation, the correct substitution). You get it even if the arithmetic later goes wrong.
- A — accuracy. Awarded for the correct answer or a correct intermediate value. An A mark is usually dependent on the preceding M mark — no method shown, no accuracy mark.
- R — reasoning. Awarded for a correct justification or logical step, common in proof and "explain" questions.
- AG — answer given. When the answer is printed in the question ("show that..."), you must show every step. A jump to the given result earns nothing.
- FT — follow-through. If you carry a wrong earlier value into a correct later method, you still earn the later marks. One slip does not cascade into zero.
- ISW — ignore subsequent working. Once you have written the correct answer, tidy extra scribbles below it are ignored rather than penalised.
Equivalent and exact forms (surds, π, fractions) are accepted, and so are correctly-rounded answers — 3 significant figures unless the question says otherwise.
Worked example of why this matters. Suppose a question gives f(x) and asks for the equation of the tangent at x = 2, worth (M1)(A1)(M1)(A1). You differentiate correctly (M1), but slip and evaluate f'(2) as 5 instead of 6 (lose that A1). You then correctly substitute your gradient and point into y − y₁ = m(x − x₁) (M1, follow-through) and simplify without further error (A1, follow-through on your value). Result: 3 out of 4 with a wrong final number. A classmate who writes only the answer "y = 6x − 7" with no working risks scoring 1 or 0, because the method marks were never demonstrated. Same maths ability; very different scores.
Paper 1 (no GDC) vs Paper 2 (GDC)
For the IB Diploma Programme, the two papers reward different muscles, so prepare them differently.
| Paper 1 | Paper 2 | |
|---|---|---|
| Calculator | Not allowed | GDC allowed |
| Rewards | Algebraic fluency, exact answers, proof | Modelling, statistics, longer problem-solving |
| Watch for | Surd/π exact forms, sign errors, domain | Rounding, calculator mode, showing inputs |
On Paper 1, speed and cleanliness in algebra decide your grade: factorising, logs and indices, trig identities, differentiation and integration by hand. Leave answers exact unless told to round. On Paper 2, the GDC does heavy lifting — but the mark scheme still expects to see the mathematics you set up before you reach for it.
Using the GDC like a 7 student
For the IB Diploma Programme, the strong candidates treat the calculator as a tool, not a crutch:
- Write down what you enter. "Solving 2ˣ = 40 on GDC → x = 5.32" shows method; a bare "5.32" can miss the M mark.
- Keep full precision on the screen, round only at the end. Rounding a stored value early is the single most common accuracy loss on Paper 2.
- Check the mode (radians for calculus and most trig — degrees only when the question is in degrees) before you start.
- Use it to confirm, not replace, algebra on "show that" and proof questions, where working is mandatory.
HL Paper 3 problem-solving
For the IB Diploma Programme, paper 3 is HL only: two long, scaffolded, unfamiliar investigations that build across many parts. Earlier answers feed later ones, so follow-through is everywhere — a wrong value early on still earns full method downstream if you keep going. Read the whole question before starting, write every step (parts are often "show that"), and never leave a later part blank because an earlier one broke. Practise with genuinely unfamiliar contexts; the skill being tested is applying HL tools — induction, complex numbers and De Moivre, vectors, integration techniques, differential equations, Maclaurin series, Bayes — to a problem you have not seen.
The reliable topic mark-earners
For the IB Diploma Programme, some topics return marks predictably once drilled:
- Calculus (differentiation, integration, kinematics, optimisation) — the largest theme; automate the standard techniques.
- Functions — transformations, inverses, domain/range, and composite functions appear on nearly every paper.
- Trigonometry — identities and equations on Paper 1; the sine/cosine rules on Paper 2.
- Statistics & probability — mostly GDC-driven on Paper 2 (distributions, regression); fast, reliable marks.
- HL: proof by induction and complex numbers are high-yield if you have a rehearsed structure.
Common mistakes that cap you at a 5
This section covers Common mistakes that cap you at a 5 — what IB examiners reward most often in past papers and coursework.
- No working. The commonest ceiling. Bare answers forfeit method marks and score nothing on "show that".
- Rounding too early. Round intermediate values and your final answer drifts outside the accepted range.
- Exact vs decimal. Giving 1.41 when the mark scheme wants √2 (or vice versa) loses accuracy marks.
- Calculator in the wrong mode. Degrees instead of radians silently wrecks every trig and calculus answer.
- A calculator on Paper 1 — not allowed, and a serious problem if used.
- A weak IA. A rushed exploration drags down an otherwise strong exam performance.
A weekly LEARN → PRACTICE → GET-MARKED system
For the IB Diploma Programme, aim for 6–8 fully marked papers with error logs before exams — quality beats a stack of rushed attempts.
- Learn (2–3 sessions). Take one syllabus subtopic, work through the theory and worked examples in the Maths AA SL course or HL course, and build recall with short flashcard bursts.
- Practice (timed). Alternate Paper 1 and Paper 2 questions on that subtopic under the clock. Force yourself to write full method even when the answer feels obvious — that is the exam habit you are training.
- Get marked (honest). Mark against the official scheme, awarding M/A/R marks line by line. Log every dropped mark by cause (no working, early rounding, wrong mode) and drill your top three recurring errors next week. When you want a second opinion, get an answer marked for criterion-aligned feedback.
How MarkScheme helps
Our free [Maths AA SL](/ib/courses/maths-aa-sl) and [HL courses](/ib/courses/maths-aa-hl) link every syllabus point to a lesson, flashcards and practice. Pair them with the [AA SL past papers guide](/blog/ib-maths-aa-sl-past-papers-guide) or [HL past papers guide](/blog/ib-maths-aa-hl-past-papers-guide), plan your exploration with the [Maths IA guide](/blog/ib-maths-ia-guide), and if you are still choosing a route, read [Maths AA vs AI](/blog/ib-maths-aa-vs-ai-which-to-choose). For everything else IB, start at the [IB guides hub](/guides/ib).
Frequently asked questions
This section covers Frequently asked questions — what IB examiners reward most often in past papers and coursework.
How much working do I really need to show?
Enough that an examiner can follow your method to the answer. On "show that" (AG) questions, show every step — jumping to the printed result scores nothing.
Do I lose all the marks if my final answer is wrong?
No. Method marks are independent of the final answer, and follow-through means a correct method applied to a wrong earlier value still earns credit. That is why bare answers are so costly.
3 significant figures or exact form?
Give exact form when it is natural (surds, π, fractions), and otherwise round to 3 significant figures unless the question specifies. Keep full precision until the final line.
Is HL Paper 3 harder than Papers 1 and 2?
It is more unfamiliar, not more advanced — long investigations that chain together. Because parts follow through, keeping going is more valuable than getting every step perfect.
How many past papers should I do?
Around 6–8 fully marked, with an error log, is more useful than 20 rushed ones. The marking and the drilling of your recurring mistakes are where the grade improvement comes from.