IP EMaths Notes (Upper Sec, Year 3-4): 03) Algebraic Fractions and Surds
In one line
Simplify algebraic fractions, manage restricted domains, and keep surd expressions exact throughout working.
Last updated 30 Nov 2025
Want small-group support? Browse our IP Maths Tuition hub. Not sure which level to start with? Visit Maths Tuition Singapore.
Planning a revision session? Use our study places near me map to find libraries, community study rooms, and late-night spots.
Read in layers
1 second
Read the summary above.
10 seconds
Scan the first few sections below.
100 seconds
Jump into the section that matches your decision.
- Start Here
- Key techniques
- Worked example - Simplify and rationalise
- Worked example - Combine algebraic fractions with different denominators
Q: What does IP EMaths Notes (Upper Sec, Year 3-4): 03) Algebraic Fractions and Surds cover?
A: Simplify algebraic fractions, manage restricted domains, and keep surd expressions exact throughout working.
Start Here
| Read time | What to take away |
| 1 second | Factor first, cancel only common factors, and keep surds exact. |
| 10 seconds | Algebraic fractions behave like number fractions, but restrictions come from the original denominator before cancellation. Surds stay cleaner when you rationalise with a matching conjugate. |
| 100 seconds | Work through the examples to practise a fixed sequence: factor, state excluded values, simplify, rationalise if needed, and check that any squared surd equation still satisfies the original equation. |
Exact manipulation avoids rounding drift. Reduce algebraic fractions fully before substituting values, and rationalise surd denominators when presenting final answers.
Keep the full topic roadmap handy via our IP Maths tuition hub so you can jump into related drills, quizzes, or diagnostics as you move through these notes.
New to the Integrated Programme? Start with What is IP? | Browse all free IP notes.
These notes align with SEAB GCE O-Level Mathematics (4052) content used in IP programmes (exams from 2026).
Status: SEAB O-Level Mathematics 4052 syllabus (exams from 2026) checked 2025-11-30 - scope unchanged; remains the reference for these notes.
Key techniques
- Factor numerator and denominator before cancelling:
