Cambridge A Level Maths 9709 Help: Papers, Routes, Syllabus

Q: How many papers are in Cambridge A Level Maths 9709?

Six papers exist. AS Level candidates take two and A Level candidates take four. Pure Mathematics 1 is in every route, and Pure Mathematics 3 is in every A Level route.

Q: Which papers make up 9709 A Level?

Paper 1 and Paper 3, plus either Paper 4 Mechanics with Paper 5 Probability and Statistics 1, or Paper 5 with Paper 6 Probability and Statistics 2.

Q: Can I take Paper 4 and Paper 6 for 9709?

No. The syllabus says Paper 4 and Paper 6 cannot be combined because Paper 6 depends on the content of Paper 5, and Paper 5 is compulsory for A Level.

Q: Can a pure-only AS lead to the full A Level?

No. Cambridge says candidates who take the Pure Mathematics only route of Papers 1 and 2 cannot carry their AS result forward to complete the A Level.

Q: How long is 9709 Paper 1?

Pure Mathematics 1 is 1 hour 50 minutes and 75 marks, with 10 to 12 structured questions. It is 60 per cent of the AS Level and 30 per cent of the A Level.

Q: What value of g is used in 9709 Mechanics?

The syllabus expects g = 10 m s to the minus 2 in Paper 4, where questions are mainly numerical. Bodies are modelled as particles and vector notation is not used.

Q: Is a formula sheet given in 9709?

Yes. A list of formulae and statistical tables, known as MF19, is supplied in the exams. It does not include everything, so students still need to know key results.

Q: When are 9709 exams?

In the June and November series, and also in March for schools in India. Each administrative zone has its own timetable on the Cambridge site.

Q: When do your 9709 classes run?

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. UK times are always given.

Q: Are you part of Cambridge International?

No. Modern Age Coders has no tie to Cambridge University Press and Assessment. Each practice item here is original, and no Cambridge paper is copied.

The short answer

Cambridge International AS & A Level Mathematics 9709 is built from six papers: Pure Mathematics 1, 2 and 3, Mechanics, and Probability & Statistics 1 and 2. AS Level takes two papers, always including Pure Mathematics 1, and is graded a to e. A Level takes four, always Pure Mathematics 1 and 3 plus either Mechanics with Statistics 1 or Statistics 1 with Statistics 2, and is graded A* to E. Exams run in June and November. Modern Age Coders teaches every 9709 paper live online within its A Level Maths course, as a group of 15 to 20 or 1-on-1, starting with a free class.

Start here

Three courses for a 9709 student

Our A level course carries all six 9709 papers. Statistics adds depth for Papers 5 and 6, and Further Maths leads on to Cambridge 9231.

CL / 01

A Level Maths

Pure 1 to 3, Mechanics and Statistics 1, taught to the route the school has chosen.

Open the syllabus →

Statistics & Probability course thumbnail

CL / 02

Statistics and Probability

For students on the Statistics 1 and 2 route, including the Poisson distribution and hypothesis tests.

Open the syllabus →

CL / 03

A Level Further Maths

For students also taking Further Mathematics, with Cambridge or another board.

Open the syllabus →

Six papers

What are the 9709 papers, and how long is each?

Three pure papers, one mechanics paper and two statistics papers, of two lengths.

The syllabus states the structure simply: "Candidates take two components for AS Level Mathematics. Candidates take four components for A Level Mathematics." The two longer papers, Pure Mathematics 1 and 3, carry most of the weight. The four shorter papers are each 1 hour 15 minutes and 50 marks, and each one counts for a different share depending on whether it is sat for AS or for A Level.

Cambridge International AS & A Level Mathematics 9709: the six components
Paper	Time	Marks	Questions	Share of AS	Share of A Level
1: Pure Mathematics 1	1 hour 50 minutes	75	10 to 12	60 per cent	30 per cent
2: Pure Mathematics 2	1 hour 15 minutes	50	6 to 8	40 per cent	Not available
3: Pure Mathematics 3	1 hour 50 minutes	75	9 to 11	Not available	30 per cent
4: Mechanics	1 hour 15 minutes	50	6 to 8	40 per cent	20 per cent
5: Probability & Statistics 1	1 hour 15 minutes	50	6 to 8	40 per cent	20 per cent
6: Probability & Statistics 2	1 hour 15 minutes	50	6 to 8	Not available	20 per cent

Source: Cambridge International AS & A Level Mathematics 9709 syllabus for 2026 and 2027, "Assessment overview", from the Cambridge International 9709 page. Students and tutors often shorten these to P1, P2, P3, M1, S1 and S2; Cambridge numbers them Paper 1 to Paper 6.

Pure Mathematics 2 against 3

Paper 2 is "Offered only as part of AS Level"; Paper 3 is for "the A Level only". They overlap in topic headings, but Paper 3 goes further, adding vectors, differential equations and complex numbers among its sections.

A student heading for the full A Level therefore usually never sits Paper 2. Its role is the pure-only AS.

The applied papers

Mechanics covers forces and equilibrium, kinematics, momentum, Newton's laws, and energy, work and power. Probability & Statistics 1 covers data representation, permutations and combinations, probability, discrete random variables and the normal distribution.

Probability & Statistics 2 begins with the Poisson distribution and ends with sampling, estimation and hypothesis tests. It builds directly on Paper 5.

Routes

Which papers do you take for 9709 AS and A Level?

Pure Mathematics 1 is in every route. The rest is a choice, and two combinations are closed.

Cambridge describes three routes. Route 1 is AS Level only, sat in one series. Route 2 is a staged A Level: AS in the first year, with the result carried forward, and two more papers in a later series. Route 3 is a linear A Level with all four papers in one series. Within those routes the syllabus allows these combinations and no others.

Permitted 9709 combinations, from the syllabus
Qualification	Papers	Content	Note
AS Level	1 and 2	Pure only	Cannot be carried forward to A Level
AS Level	1 and 4	Pure and Mechanics	Can be carried forward
AS Level	1 and 5	Pure and Probability & Statistics	Can be carried forward
A Level	1, 3, 4 and 5	Pure, Mechanics and Probability & Statistics	The mixed applied route
A Level	1, 3, 5 and 6	Pure and Probability & Statistics	The statistics-only applied route

Closed combination one

The syllabus is explicit: "it is not possible to combine Paper 4 and Paper 6. This is because Paper 6 depends on prior knowledge of the subject content for Paper 5."

A student who has studied Mechanics and Statistics 2 but not Statistics 1 has no valid A Level route. Paper 5 is "Compulsory for A Level".

Closed combination two

The pure-only AS of Papers 1 and 2 stands alone. Cambridge says: "Candidates who take the Pure Mathematics only route cannot then use their AS result and carry forward to complete the A Level."

A family that might want the full A Level later should choose an AS route with Paper 4 or Paper 5 instead.

Grades follow the route. Cambridge makes AS Level candidates eligible for grades a to e, in lower case, and A Level candidates for A* to E. Cambridge adds that teachers should check recommended combinations if a student may progress to Cambridge International AS & A Level Further Mathematics, 9231.

Exam conventions

What are the rules for answers in 9709?

Three significant figures, no rounding until the end, no unsupported calculator answers, g = 10 in Mechanics, and MF19 on the desk.

Standing conventions from the 9709 syllabus
Convention	Cambridge's rule	What we train
Accuracy	Three significant figures, or one decimal place for angles in degrees, unless the question says otherwise	Final answers rounded once, at the end
Rounding	Avoid rounding figures until the final answer, to earn accuracy marks	Stored values carried through every part
Working	"no marks will be given for unsupported answers from a calculator"	Every calculator result preceded by its method
Calculator	Scientific only; graphical, symbolic and computer devices not permitted	Practice on the student's exam calculator
Formulae	A list of formulae and statistical tables, MF19, is supplied	Knowing what MF19 contains, and what it does not
Gravity	In Mechanics, "use of the approximate numerical value 10 (m s−2) for g is expected"	g = 10 throughout Paper 4 practice

The Mechanics paper has two further features that surprise students used to English A levels. "Vector notation will not be used in the question papers", and bodies in realistic contexts "should be treated as particles, so any force acting on them is modelled as acting at a single point." There are no moments questions about beams and rods, because there are no extended bodies. The weight instead falls on forces, friction, momentum, and energy, work and power.

Source: 9709 syllabus for 2026 and 2027, "Details of the assessment" and the Mechanics content notes. The right-hand column is our teaching practice.

Worked examples, ours

Four problems at 9709 level, one per paper type

Written by us to match the content of Papers 1, 3, 4 and 5.

Our first problem, Pure Mathematics 1. Find the set of values of k for which the line y = kx − 1 does not meet the curve y = x² + 3.

Set the expressions equal: x² + 3 = kx − 1, so x² − kx + 4 = 0.
The line misses the curve when this quadratic has no real roots, which means its discriminant is negative: k² − 16 < 0.
Factorise: (k − 4)(k + 4) < 0, so −4 < k < 4. The answer is a set of values written as an inequality, not a single number.

Our second problem, Pure Mathematics 3

Solve z² − 4z + 13 = 0, and find the modulus and argument of the root with positive imaginary part.

The quadratic formula gives z = (4 ± √(16 − 52)) ÷ 2 = (4 ± 6i) ÷ 2 = 2 ± 3i. For 2 + 3i the modulus is √13, about 3.61, and the argument is tan⁻¹(3/2) = 0.983 radians to three significant figures.

Our third problem, Mechanics

A particle is released from rest on a smooth plane inclined at 30° to the horizontal. Using g = 10, find its acceleration and the distance it travels in 2 seconds.

Resolving down the plane, the only force component is mg sin 30°, so a = 10 × 0.5 = 5 m s⁻². Then s = ½ × 5 × 2² = 10 m. With g = 10, as the syllabus expects, the numbers stay exact.

Our fourth problem, Probability & Statistics 1. How many different arrangements are there of the ten letters of the word STATISTICS? The word has three S, three T, two I, one A and one C. The count is 10! ÷ (3! × 3! × 2!) = 3,628,800 ÷ 72 = 50,400. The division by the factorials of the repeated letters is the whole idea; without it, identical arrangements are counted many times.

Six practice questions we wrote at 9709 level, each answer checked in Python
#	Our question	Paper	Answer
1	Find the coefficient of x³ in the expansion of (2 − x)⁶.	Paper 1	−160
2	Find the sum to infinity of the geometric progression 1 + 0.8 + 0.64 + ...	Paper 1	5
3	Using partial fractions, find the exact value of the integral of 1/(x(x + 1)) from x = 1 to x = 2.	Paper 3	ln(4/3)
4	Solve dy/dx = 2xy given that y = 3 when x = 0.	Paper 3	y = 3e^x²
5	A car of mass 1200 kg has a driving force of 3000 N and resistance of 600 N. Find its acceleration.	Paper 4	2 m s⁻²
6	X ~ B(10, 0.2). Find P(X ≤ 1) to 3 significant figures.	Paper 5	0.376

We wrote the four worked problems and the practice set on 31 October 2026; Cambridge set none of them. For real papers, start from the specimen materials on the Cambridge 9709 page; a school or centre can supply past papers.

Entries and timing

When is 9709 sat, and has the syllabus changed?

June and November series, a syllabus stable to 2027, and a 2028 to 2030 version with no significant teaching changes.

Entry facts from the 9709 syllabus documents
Question	Answer from Cambridge
Series	June and November; schools in India can also enter in March
Private candidates	"Private candidates can enter for this syllabus."
Retakes	AS and A Level can be retaken as many times as a candidate wants
Carry forward	An AS result can be carried forward to complete the A Level in a later series, under the rules in the Cambridge Handbook
Teaching time	Designed around about 180 guided learning hours for AS and about 360 for the full A Level
Previous study	A course equivalent to Cambridge IGCSE (Extended) or Cambridge O Level
2026 and 2027 syllabus	Version 4, December 2025: weblink, header and typographical corrections only
2028, 2029 and 2030 syllabus	"There are no significant changes which affect teaching."

The November series matters for families outside a school timetable. A student who sits AS in June can complete the A Level the following June, or a candidate retaking one paper can use November instead of waiting a full year. A UK-based private candidate needs a centre that enters Cambridge International A Levels; our page on home-educated learners covers the wider picture.

For English boards, see A level maths tuition online. For the step after 9709, further maths tuition covers Further Mathematics, and families in the Gulf can read A level maths tutoring in the UAE. Students also taking computing may want Cambridge A Level Computer Science.

Progression

Four rungs through 9709

Pure Mathematics 1 first, because every route needs it; the applied pair once the route is fixed.

The order we teach 9709 in
Level	Usually	Checked by
1. IGCSE Extended secure	Before starting	Algebra, surds, indices and trigonometry done accurately
2. Pure Mathematics 1 and the AS applied paper	First year	Timed Paper 1 practice and the chosen Paper 4 or Paper 5
3. Pure Mathematics 3	Second year	Further algebra, calculus, vectors, differential equations and complex numbers
4. The second applied paper	Second year	Paper 4 with 5, or Paper 6 after 5, practised to time

Rung two fixes the route

Choosing Paper 4 or Paper 5 at AS sets what the A Level can contain. We confirm the route with the school or centre first.

Students who enjoy modelling can try simulations through the coding roadmap.

Rung four depends on rung two

Paper 6 only follows Paper 5. A student on Mechanics at AS adds Paper 5, not Paper 6.

Lessons ease off during the June and November series.

The catalogue

Nine courses for Cambridge sixth formers

Grouped by role. The free first class sets the start.

I

The A Level

Any 9709 route

UK / CL1 / 01

A level maths

Pure 1 to 3, Mechanics and Statistics 1 to 2.

Open the syllabus

UK / CL1 / 02

Statistics and probability

More depth for Papers 5 and 6.

Open the syllabus

UK / CL1 / 03

A level further maths

The next step, towards Cambridge 9231.

Open the syllabus

II

Bridging

From IGCSE

UK / CL2 / 01

IGCSE mathematics

Extended 0580 and Additional 0606 secured first.

Open the syllabus

UK / CL2 / 02

Algebra foundations

For a student whose algebra slows Paper 1.

Open the syllabus

UK / CL2 / 03

IB mathematics

For international students comparing IB and A Level.

Open the syllabus

III

Beyond

University and stretch

UK / CL3 / 01

College mathematics

First-year university maths after 9709.

Open the syllabus

UK / CL3 / 02

GRE and GMAT quant

For older students heading to graduate study.

Open the syllabus

UK / CL3 / 03

Competition mathematics

Hard problems beyond any syllabus.

Open the syllabus

How classes run

Taught to the route your school chose

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. Our teachers work from India, on a clock that never changes, and UK students receive every time in UK time; international families can ask for their own time zone too.

After school

Typical for sixth formers in the UK.

Evening

Works for many international time zones too.

Weekend morning

Space for a Paper 1 or Paper 3 under time.

Route first

We confirm the papers before teaching, so no time goes on an unused paper.

MF19 practice

Working with the supplied list, and learning what it leaves out.

g = 10

Mechanics practised with Cambridge's value of g and particle models.

Method shown

No bare calculator answers, because Cambridge gives them no marks.

June or November

Plans paced to whichever series the school or centre enters.

Group or 1-on-1

A group of 15 to 20 on one route, or one teacher for one student.

Student work

Work our students did in class

From ordinary lessons, not marked for any exam. Many more are in student labs.

AI and ML

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A chatbot that answers mathematics and programming questions, built and deployed by a student.

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GuardianX

An assistant that helps a young person recognise unsafe situations online.

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Web app

SkyCast

A weather forecasting site with live conditions for any location.

by Krish

Fees

Fees for 9709 classes

Families outside India pay a single monthly fee in US dollars. The first class is free, and billing starts only when a course and weekly time are settled.

Free first class

USD 0

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A first class on a 9709 paper
A view on route and readiness
A phone number is enough

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Group batch

USD 100

a month, billed in US dollars

A group of 15 to 20 on one route
One teacher across AS and A Level
Practice timed to each paper
Lighter weeks in June and November

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One to one

USD 150

a month, billed in US dollars

One teacher for one student
Fitted to a staged or linear route
Suits a student retaking a single paper

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Questions about 9709

What students and families ask about 9709 maths

How many papers are in Cambridge A Level Maths 9709?

Six papers exist. AS Level candidates take two and A Level candidates take four. Pure Mathematics 1 is in every route, and Pure Mathematics 3 is in every A Level route.

Which papers make up 9709 A Level?

Paper 1 and Paper 3, plus either Paper 4 Mechanics with Paper 5 Probability and Statistics 1, or Paper 5 with Paper 6 Probability and Statistics 2.

Can I take Paper 4 and Paper 6 for 9709?

No. The syllabus says Paper 4 and Paper 6 cannot be combined because Paper 6 depends on the content of Paper 5, and Paper 5 is compulsory for A Level.

Can a pure-only AS lead to the full A Level?

No. Cambridge says candidates who take the Pure Mathematics only route of Papers 1 and 2 cannot carry their AS result forward to complete the A Level.

How long is 9709 Paper 1?

Pure Mathematics 1 is 1 hour 50 minutes and 75 marks, with 10 to 12 structured questions. It is 60 per cent of the AS Level and 30 per cent of the A Level.

What value of g is used in 9709 Mechanics?

The syllabus expects g = 10 m s to the minus 2 in Paper 4, where questions are mainly numerical. Bodies are modelled as particles and vector notation is not used.

Is a formula sheet given in 9709?

Yes. A list of formulae and statistical tables, known as MF19, is supplied in the exams. It does not include everything, so students still need to know key results.

When are 9709 exams?

In the June and November series, and also in March for schools in India. Each administrative zone has its own timetable on the Cambridge site.

When do your 9709 classes run?

Weekdays or weekends, flexible: choose your batch, or for a very personalised plan choose 1-on-1 at your convenience, weekend mornings or weekdays. UK times are always given.

Are you part of Cambridge International?

No. Modern Age Coders has no tie to Cambridge University Press and Assessment. Each practice item here is original, and no Cambridge paper is copied.

Elsewhere on this site

More for Cambridge and A level students

Other boards, Further Maths, and computing alongside maths.

A level maths tuition online

Our page across the English A level boards.

Further maths tuition online

The next qualification for keen 9709 students.

A level maths tutor in the UAE

For Cambridge A Level families in the Gulf.

IGCSE maths tuition online

The Extended IGCSE that 9709 builds on.

Cambridge A Level Computer Science

The Cambridge computing A level many 9709 students take.

Coding classes in the UK

The index of our UK pages.

Related pages in this guide

Part of the guide: UK maths exam boards and specification codes

International GCSE and Cambridge International

GCSE maths

A level maths and further maths

Scotland

International Baccalaureate

More guides: UK maths year by year, Reception to Year 11 · UK selective school maths tests: 7+, 11+, 13+ and 16+ · UK university admissions: maths tests and computing applications · UK maths enrichment, competitions and able pupils

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Book a free 9709 class

Send us a number and we ring back at a UK time, or your local time abroad, that suits. The first class checks the route and works one of our problems from the paper you find hardest.

Would you rather read first? Every course page lists its syllabus, how we teach explains a lesson, and student labs shows students' projects.

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Three courses for a 9709 student

A Level Maths

Statistics and Probability

A Level Further Maths

What are the 9709 papers, and how long is each?

Pure Mathematics 2 against 3

The applied papers

Which papers do you take for 9709 AS and A Level?

Closed combination one

Closed combination two

What are the rules for answers in 9709?

Four problems at 9709 level, one per paper type

Our second problem, Pure Mathematics 3

Our third problem, Mechanics

When is 9709 sat, and has the syllabus changed?

Four rungs through 9709

Rung two fixes the route

Rung four depends on rung two

Nine courses for Cambridge sixth formers

The A Level

A level maths

Statistics and probability

A level further maths

Bridging

IGCSE mathematics

Algebra foundations

IB mathematics

Beyond

College mathematics

GRE and GMAT quant

Competition mathematics

Taught to the route your school chose

Route first

MF19 practice

g = 10

Method shown

June or November

Group or 1-on-1

Work our students did in class

NutriLife

Misti

GuardianX

SkyCast

Fees for 9709 classes

Rated 4.9 across 547 Google reviews

What students and families ask about 9709 maths

How many papers are in Cambridge A Level Maths 9709?

Which papers make up 9709 A Level?

Can I take Paper 4 and Paper 6 for 9709?

Can a pure-only AS lead to the full A Level?

How long is 9709 Paper 1?

What value of g is used in 9709 Mechanics?

Is a formula sheet given in 9709?

When are 9709 exams?

When do your 9709 classes run?

Are you part of Cambridge International?

More for Cambridge and A level students

A level maths tuition online

Further maths tuition online

A level maths tutor in the UAE

IGCSE maths tuition online

Cambridge A Level Computer Science

Coding classes in the UK

Related pages in this guide

International GCSE and Cambridge International

GCSE maths

A level maths and further maths

Scotland

International Baccalaureate

Book a free 9709 class

Want a class sooner? Book a priority demo

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