A Level Mathematics Paper 3 (P3) Topical Past Papers 9709 – 2027-28

A Level Mathematics Paper 3 (Pure Mathematics 3) Topical Past Papers (9709) from Read & Write Publications is a topic-by-topic question book for the second-year pure mathematics paper of Cambridge A Level. Its nine units run from algebra to complex numbers — logarithmic and exponential functions, trigonometry, differentiation, integration, numerical solution of equations, vectors and differential equations in between — and each unit ends with its own answers section. It fits students of the 2027-28 session who sit Paper 3 in the 2027 or 2028 Cambridge series.

Exams Book House, Shop Number 4, Al Fazal Market, Urdu Bazar, Lahore, stocks this book for A Level mathematics students across Pakistan. Collect it from the shop or order it on WhatsApp with cash on delivery.

Quick facts about this book

• Title on the cover: Mathematics Paper-3 — 9709 Topical Past Papers
• Publisher: Read & Write Publications
• Article number: 211 (printed on the cover)
• Level: Cambridge International A Level Mathematics (syllabus 9709); the cover carries the green “A Level” badge
• Paper: Paper 3, Pure Mathematics 3 (P3) — Cambridge lists it as a 75-mark paper of 1 hour 50 minutes
• Structure: 9 units, each followed by its own answers section
• Size: the last answers section starts on page 385, so the book runs to more than 385 pages
• Language: English
• On the cover: a “Scan for price” QR code and a colour-changing security label

What is the A Level Mathematics Paper 3 Topical Past Papers book?

It is a collection of Paper 3 practice questions sorted by topic. Paper 3 (Pure Mathematics 3) is usually taken in the second year of the A Level and builds on the Paper 1 material, so the algebra, trigonometry, differentiation and integration here are used at a higher level than in Paper 1, and new topics — numerical methods, vectors, differential equations and complex numbers — are added.

Because the questions are grouped by topic, a student can spend a week on one unit, for example Unit 5 Integration, and then check the work with the unit’s answers section. The cover calls the book “Topical Past Papers”, so the practice is based on the kind of questions that appear in the real paper.

Who is this book for?

• A Level students (second year) who are preparing for Paper 3.
• Students who want a high grade in A Level Mathematics, because Paper 3 is worth 75 marks, as much as Paper 1.
• Private candidates and repeaters who need a clear unit-by-unit plan.
• Teachers and tutors who run a Paper 3 class and need topic-wise question banks.
• Parents who want to know what their child will study in the final year.

What is inside? The complete table of contents

Page numbers are as printed on the contents page. “Questions” is the page where the unit or section starts; “Answers” is where its answers start.

What each unit covers

Unit 1 — Algebra (1.1 Equations and inequalities, 1.2 Remainder and factor theorem, 1.3 Partial fractions and binomial expansions). Solving equations and inequalities that involve the modulus, dividing polynomials, using the remainder and factor theorems, splitting an expression into partial fractions and expanding with the binomial series.

Unit 2 — Logarithmic and Exponential Functions. Laws of logarithms, equations with exponentials and logarithms, the natural logarithm and the exponential function, and turning curved relationships into straight lines for graphs.

Unit 3 — Trigonometry. The reciprocal functions secant, cosecant and cotangent, addition and double-angle formulae and expressions of the form R cos(θ ± α), with their use in solving equations.

Unit 4 — Differentiation. The product, quotient and chain rules, derivatives of exponential, logarithmic and trigonometric functions, and implicit and parametric differentiation.

Unit 5 — Integration. Standard integrals, integration by substitution and by parts, integrating with partial fractions, and areas under curves.

Unit 6 — Numerical Solution of Equations. Showing that a root lies in an interval and finding it with an iterative formula.

Unit 7 — Vectors. Vectors in three dimensions, the equation of a line, the scalar product and angles, and whether two lines meet.

Unit 8 — Differential Equations. Forming a differential equation from a situation, and solving it by separating the variables.

Unit 9 — Complex Numbers. The Argand diagram, the modulus and argument, operations on complex numbers and loci in the complex plane.

Why use topical past papers for Paper 3?

• Paper 3 is wide. Nine units are a lot to revise; a topical book lets you take them one at a time.
• Answers after every unit. You can mark the work at once and see whether your method is right.
• Question styles repeat. Practising one topic many times teaches you the usual steps for substitution, partial fractions or a differential equation.
• It stops you leaving the hardest units until the end. Complex numbers or vectors can be started months earlier.
• One book for the whole paper. The contents show all nine units in order.

When should you use it?

• In the second year of A Level: begin each unit when your teacher starts the same topic in class.
• After you finish Paper 1 revision: Paper 3 uses Paper 1 skills, so a quick Paper 1 refresh first makes this book easier.
• Mock exams: go through all nine units once and mark the weakest three.
• Exam series: Cambridge holds its exams in May/June and October/November; plan to finish the book at least a month before.

How do you use this book? A simple plan

1. Open the contents and choose a unit — for example Unit 8 Differential Equations (page 321).
2. Attempt the questions on paper and show all the steps.
3. Check your answers in the unit’s answers section (for Unit 8 it starts on page 343).
4. Write each mistake in a notebook: method, algebra or reading error.
5. Redo the wrong questions after two or three days.
6. Move on once a full page comes out correct without help.

How is Paper 3 different from Paper 1?

Paper 1 (Pure Mathematics 1) covers quadratics, functions, coordinate geometry, circular measure, trigonometry, series, differentiation and integration. Paper 3 goes further with partial fractions, logarithmic and exponential functions, numerical solution of equations, vectors, differential equations and complex numbers. If you also need Paper 1, see the A Level Mathematics Paper 1 (P1) Topical Past Papers. The covers are colour-coded: Paper 1 is blue and Paper 3 is green.

Using it for the 2027 and 2028 exams (9709 syllabus check)

Cambridge AS & A Level Mathematics (9709) has one syllabus for the 2026 and 2027 exams and a new syllabus for exams in 2028, 2029 and 2030. If you sit Paper 3 in the June or November 2027 series, the units in this book follow the syllabus you are taught. If you sit it in 2028, compare the new syllabus with the contents (your teacher has the change list); topic-by-topic past-paper practice stays the core of your preparation in both years. Ask us on WhatsApp for the newest print before you order.

Is this the original book?

The cover carries a colour-changing security label; the publisher says that a label which does not change colour when tilted means a pirated copy. The cover also has a “Scan for price” QR code. Ask us to show you the label when you collect your copy.

Where can I buy the A Level Mathematics Paper 3 (P3) Topical Past Papers (9709) in Urdu Bazar, Lahore?

If you need A Level books in Urdu Bazar, Lahore, Exams Book House keeps the Mathematics papers beside the Physics titles, so you can collect the whole set in one visit. Visit the shop or order from anywhere in Pakistan. Prices change with each print run, so message us for today’s price.

• Shop: Exams Book House, Shop Number 4, Al Fazal Market, Urdu Bazar, Lahore 54000
• Urdu Bazar Lahore book shop number: 0317 4846676 (call or WhatsApp)
• Open: Monday to Saturday, 9 AM – 9 PM; closed on Sunday
• Delivery: all over Pakistan, cash on delivery

Message us on WhatsApp with the book name to check current stock and price — اردو بازار لاہور میں کتابوں کی دکان، ایگزامز بک ہاؤس۔

Other A Level books you may need

• A Level Mathematics Paper 1 (P1) Topical Past Papers (9709) — the first Pure Mathematics paper.
• A Level Physics Paper 2 (Structured) Topical Workbook (9702) — topic-wise practice for AS Physics.

Frequently asked questions

Is this book suitable for the 2027 and 2028 exams?

Yes, for practice in both years. 9709 uses one syllabus for the 2026 and 2027 exams and a new one for 2028–2030, so 2028 candidates should check the syllabus changes with their teacher.

Which exam is this book for?

It is for Paper 3 (Pure Mathematics 3) of Cambridge International A Level Mathematics, syllabus 9709.

Do I need Paper 3 for the AS Level?

No. Paper 3 belongs to the full A Level and is normally taken in the second year. Please check with your school which papers you are entered for.

Are the answers included?

Yes. Each of the nine units has its own answers section; the contents list the page numbers (Unit 1 answers start on page 26 and Unit 9 answers on page 385).

Does it include mechanics and statistics?

No. This book is for Paper 3 pure mathematics only.

What is the price of A Level Mathematics Paper 3 in Pakistan?

Prices change with each print run. Message us on WhatsApp or call 0317 4846676 for today’s price and stock.

Can I get it delivered outside Lahore?

Yes. We deliver all over Pakistan with cash on delivery. Send us the book name and your address on WhatsApp.

Inside the book — contents and sample pages