A-Level Mathematics Paper Routes
Cambridge A-Level Mathematics (9709) has 6 papers with multiple valid combinations for AS and A Level. This guide shows you exactly which papers to take and how they combine.
Quick Overview
The 6 Papers
A-Level Mathematics consists of Pure Mathematics (core content) plus Applied Mathematics (Mechanics or Probability & Statistics).
| Paper | Name | Duration | Marks | Level |
|---|---|---|---|---|
| 1 | Pure Mathematics 1 | 1h 50m | 75 | AS + A Level |
| 2 | Pure Mathematics 2 | 1h 15m | 50 | AS only |
| 3 | Pure Mathematics 3 | 1h 50m | 75 | A Level only |
| 4 | Mechanics | 1h 15m | 50 | AS + A Level |
| 5 | Probability & Statistics 1 | 1h 15m | 50 | AS + A Level |
| 6 | Probability & Statistics 2 | 1h 15m | 50 | A Level only |
AS Level Routes (2 Papers)
For AS Level, you take Paper 1 (Pure Mathematics 1) plus one other paper. There are 3 possible combinations:
Pure Only
Pure Mathematics 1 + Pure Mathematics 2
Cannot progress to A Level
Pure + Mechanics
Pure Mathematics 1 + Mechanics
Can progress to A Level
Pure + Statistics
Pure Mathematics 1 + Probability & Statistics 1
Can progress to A Level
Important: If you take Papers 1+2 (Pure only), you receive an AS Level certificate but cannot continue to full A Level. Choose Papers 1+4 or 1+5 if you plan to complete A Level.
A Level Routes (4 Papers)
For full A Level, you take 4 papers. There are 2 valid combinations:
Pure + Mechanics + Statistics
Most common route
• Pure 1 + Pure 3 + Mechanics + Statistics 1
• Balanced coverage of all applied topics
• Best for Physics, Engineering
Pure + Double Statistics
Statistics focus
• Pure 1 + Pure 3 + Statistics 1 + Statistics 2
• Deep statistical knowledge
• Best for Economics, Psychology, Biology
Invalid combination: Papers 1, 3, 4, 6 cannot be taken together. Paper 6 (Statistics 2) requires Paper 5 (Statistics 1) knowledge. You cannot combine Mechanics (Paper 4) with Statistics 2 (Paper 6) without Statistics 1.
Paper Routes Diagram
This diagram shows how papers connect from AS to A Level:
Assessment Routes: Staged vs Linear
You can take your A Level papers in two ways:
Staged Assessment
Take papers over 2 exam sessions (typically 2 years)
Year 1 (AS)
Papers 1 + 4 or Papers 1 + 5
Year 2 (A2)
Paper 3 + remaining applied paper
Advantage: Spreads workload, get AS grade midway
Linear Assessment
Take all 4 papers in the same exam session
Single Session
Papers 1, 3, 4, 5 all at once
or Papers 1, 3, 5, 6 all at once
Advantage: More time to prepare, all content fresh
Mechanics vs Statistics: How to Choose
Choose Mechanics If
- • Planning to study Physics or Engineering
- • Enjoy forces, motion, and physical applications
- • Taking A-Level Physics alongside Maths
- • Good at visualizing physical problems
- • Interested in aerospace, civil, or mechanical engineering
Topics covered:
Forces, equilibrium, kinematics, momentum, energy, Newton's laws
Choose Statistics If
- • Planning to study Economics, Medicine, or Psychology
- • Interested in data analysis and probability
- • Taking A-Level Biology or Economics
- • Good at interpreting data and patterns
- • Interested in finance, research, or data science
Topics covered:
Probability, distributions, hypothesis testing, correlation, regression
Note: Route A (Papers 1, 3, 4, 5) gives you both Mechanics AND Statistics at A Level. Only choose Route B (double Statistics) if you specifically want deeper statistical knowledge and don't need Mechanics.
Summary: Valid Paper Combinations
| Qualification | Papers | Route Name | Can Progress? |
|---|---|---|---|
| AS Level | 1 + 2 | Pure Only | No |
| AS Level | 1 + 4 | Pure + Mechanics | Yes |
| AS Level | 1 + 5 | Pure + Statistics | Yes |
| A Level | 1, 3, 4, 5 | Pure + Mechanics + Statistics | — |
| A Level | 1, 3, 5, 6 | Pure + Double Statistics | — |