2026/27 Enrolment Open · Free Assessment
Cambridge IGCSE MathematicsSyllabus 0580Unit 3: Number
Chapter 9

Sequences, surds and sets

Explore number sequences and nth-term rules, rational and irrational numbers, surds, and set notation with Venn diagrams for Cambridge IGCSE Mathematics.

What You'll Learn

  • 01Term-to-term rules and sequences
  • 02Finding nth-term formulae
  • 03Rational and irrational numbers
  • 04Recurring decimals and fractions
  • 05Simplifying and rationalising surds
  • 06Set notation and Venn diagrams
Resources

Topical Past Papers

Practice questions from licensed topical past papers organised around this topic.

View Topical Past Papers →

Chapter Topics

4 official subtopics
9.1Sequences
9.2Rational and irrational numbers
9.3Surds
Extended
9.4Sets

Your Learning Journey

Plan your chapter across focused 60-minute sessions.

5 Sessions5 Hours (300 min)
01
LEARN
60 MIN
9.1 Sequences
Session 1 of 5
02
LEARN
60 MIN
9.2 Rational and irrational numbers
9.3 Surds
Session 2 of 5
03
LEARN
60 MIN
9.4 Sets
Session 3 of 5
04
PRACTICE
60 MIN
Chapter Practice
Session 4 of 5
05
EXAM
60 MIN
Past Paper Practice
Session 5 of 5
1-to-1 Mathematics Tuition · Cambridge IGCSE Mathematics

Master Chapter 9: Sequences, surds and sets with Siddharth Agrawal

Book a free 30-minute diagnostic session for personalised 1-to-1 coaching tailored to your Core tier target grade.