Academic Resource Library
High-fidelity formula sheets, strategy guides, and pedagogical tools used by top-performing students and educators in Singapore.
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Free high-fidelity worksheets, heuristics guides, and practice papers — all aligned to the 2026 MOE Mathematics syllabus.
PSLE Resources
O-Level Resources
Secondary Resources
Heuristics Resources
PSLE Math Formula Sheet (2026)
The definitive reference for PSLE preparation. Covers DST, Circles, and Percentage rules with pedagogical clarity.
Teacher's Recommendation
"Print this and place it on your child's study desk. Use it to check their quick-recall during revision sessions."
Key Learning Outcomes
- ✓Mastery of all 35 core PSLE formulas
- ✓Reduced calculation errors in Paper 1
- ✓Confidence in multi-step word problems
O-Level E-Math Mastery Checklist (Syllabus 4048)
Stop guessing what you don't know. A topic-by-topic self-audit of every E-Math concept — from Number & Algebra to Trigonometry and Statistics — mapped to Syllabus 4048.
Elite Student Hack
"Use this as a 'Gap Diary'. Check off topics only once you can solve a TYS question from memory without looking at notes."
Key Learning Outcomes
- ✓Full Syllabus 4048 coverage audit across all 4 examination domains
- ✓Pinpoint identification of hidden knowledge gaps by topic
- ✓Structured revision roadmap prioritised by exam weightage
- ✓Confidence in both Paper 1 (no calculator) and Paper 2 (calculator) formats
A-Math 'Formula Bible' (Syllabus 4049)
The advanced reference for A-Math excellence. Every identity, logarithm law, circle property, and calculus rule you need for Paper 1 & 2.
Elite Student Hack
"Don't just memorize — visualize. This sheet is designed to match the cognitive flow of actual O-Level questions."
Key Learning Outcomes
- ✓Instant recall of complex Trig identities
- ✓Perfect accuracy in Calculus differentiation and Kinematics
- ✓Binomial Theorem mastery for general term evaluations
The 8 Essential Heuristics
An educator's guide to the 8 problem-solving methods that define Singapore Math excellence.
Teacher's Recommendation
"Ask your child: 'Which heuristic would simplify this?' Identifying the method is 80% of the solution."
Key Learning Outcomes
- ✓Ability to select correct methods for PSLE Paper 2 word problems
- ✓Deep understanding of the Stacking Model and Units & Parts
- ✓Proficiency in the Assumption Method over guessing
PSLE Word Problems: The K-U-S Method
Our signature 'Known-Unknown-Solve' method for tackling high-weightage P6 word problems.
Teacher's Recommendation
"This is the best resource for children who 'blank out' when faced with long, complex question stems."
Key Learning Outcomes
- ✓Elimination of 'blank-out' moments on Paper 2
- ✓Systematic approach to 5-mark structured questions
- ✓Mastery of External Change and Remainder Concept patterns
Sec 1-2 Foundation Blueprint
The bridge between Primary and Secondary math. Algebra, Geometry, and Number theory foundations.
Elite Student Hack
"Master these Sec 1-2 basics now, or you'll be fighting an uphill battle in Sec 3 A-Math. Don't leave gaps behind."
Key Learning Outcomes
- ✓Rock-solid Algebra expansion and factorization skills
- ✓Geometric logic (F-Z-C angles and Pythagoras) mastery
- ✓Directed Number and Fraction evaluation fluency
Sec 1 G3 Math Transition (Algebra) Checklist & Guide
Bridge the gap to Secondary 1 G3 Math. Essential concept check-items for algebraic expansion, simplification, and linear equation solving.
Teacher's Recommendation
"Print this checklist and bridging guide to help your child transition from concrete bar models to abstract algebra in Secondary 1 G3 Math."
Key Learning Outcomes
- ✓Bridge the gap from concrete bar models to abstract algebraic variables
- ✓Fluency in single and double-bracket algebraic expansion
- ✓Confidence in isolating variables and solving multi-step linear equations
PSLE Math HCF Ladder Method & Hard Questions Guide
Master the HCF Ladder Method for challenging PSLE math questions. Step-by-step guides and past-year paper walkthroughs.
Teacher's Recommendation
"Use this guide to teach your child how to systematically group items and find common factors in challenging PSLE math problems."
Key Learning Outcomes
- ✓Master the HCF Ladder Method for grouping and division questions
- ✓Confidently solve complex word problems from recent PSLE past papers
- ✓Avoid common calculation errors in Paper 1 and Paper 2 factorisation
Digital Mastery Library
Our pedagogical assets are designed by former HODs and lead teachers to focus on conceptual clarity.
?Are the math resources free to download?
Yes, all resources in the ReLURN library are free to access for students and parents. We believe in providing high-fidelity pedagogical materials to everyone.
?Are these aligned to the 2026 MOE syllabus?
Absolutely. Our resource library is updated annually to reflect the latest syllabus changes, including the removal of specific topics like 'Speed' for 2026 and the inclusion of financial literacy concepts.
?How often is the library updated?
We add new worksheets, heuristics guides, and topical mastery papers every month during the academic term to support continuous revision.
?Who creates these resources?
All materials are designed by former Heads of Department (HODs) and lead teachers with decades of experience in the Singapore education system.