Bukit Timah Tutor’s World Mathematics Atlas

The World Mathematics Atlas is the master map of every article Bukit Timah Tutor still needs. It was drawn on 26 September 2026 from a full read of the Singapore Mathematics Hub, the Knowledge Warehouse, the Operating Manual (56 chapters), the Real-World Mathematics guides (44), the Secondary Worked Repair Guides (32), the Additional Mathematics Synthesis Guides (24), the JC routes, Diagnosis, Examination Craft, the Mathematical Lab and the university-level estates in quantum mathematics, representation theory, computational number theory, topology and differential geometry.

What this site owns

Bukit Timah Tutor is the Mathematics specialist of the eduKate estate. It already owns specialist tuition, diagnosis, the curriculum map from Primary 1 to JC, the cross-topic operating controls that sit above every chapter, worked repair and synthesis guides for Secondary and Additional Mathematics, applied Mathematics in the real world, and a research-grade pure-mathematics library that runs far beyond any school syllabus. In pure Mathematics it is already a world site.

Where it is not yet a world site: examinations, competitions and curricula. There is no international examination series, no olympiad estate, no Singapore Math for the world (the method the rest of the world buys under that name), no comparison of curricula, no JC or IB topic library at the depth the Secondary guides already have, and no university-entrance route. Those are the nine estates below. The organising idea: Mathematics for any examination, any competition and any curriculum, taught from Singapore.

How to use this page

Wave 1 is the next four weeks, Wave 2 is weeks 5 to 10, Wave 3 is weeks 11 to 16. Each Status cell reads Coming soon until the page is live, then becomes the live link. Every page: the answer within the first screen, one fully worked original example, the operating-manual control it relies on, an FAQ block, a link to the official board or organiser wherever a rule or date is stated, a dated checked-against-the-board line, a last-updated line, and the year in the title where the page dates. Examination volumes form a numbered series, How to Survive Mathematics Examinations, from Vol.0001. Last updated: 26 September 2026.

Build order

1. Estate H, the calendar, calculators, formula sheets and the levels table, because every other estate links to them.
2. Estate A, the home volumes first (4052, 4049, 9758), then IGCSE, IB and SAT.
3. Estate E, the H2 topic library, which is the largest unowned Singapore search demand on this site.
4. Estate B, olympiads, timed to the SMOPS, NMOS and SASMO registration windows.
5. Estate C, Singapore Math for the world, which earns links from outside Singapore.
6. Estates F, D, G and I.

Rules and boundaries

• PSLE heuristics for Singapore parents belong to eduKateSingapore; Singapore Math for the world (Estate C) addresses parents and teachers outside Singapore and links down to those pages.
• Secondary E-Math depth lives here in the 32 Worked Repair Guides. The Sec 1 to 4 topic entries planned on eduKateSingapore should be short explainers that link into those guides, not competing depth.
• Additional Mathematics has three owners by agreement: eduKateSG for subject architecture, eduKateSengkang for teaching guides, Bukit Timah Tutor for diagnosis, synthesis and local tuition. No new A-Math topic pages here; the synthesis guides already cover them.
• Singapore examination formats, dates and pathways stay with eduKateSingapore; the home volumes here teach the decisions and link out for the rules.
• Learner states and symptom repair stay with eduKateSengkang; Mathematics Diagnosis here stays diagnostic, not narrative.
• Career and professional routes stay with eduKateSG; Estate G stops at university entry and first-year bridging.
• One owner per intent, add-only: no deletions, redirects or slug changes.

Estate A: How to Survive Mathematics Examinations, worldwide volumes (30)

#	Planned title	Focus keyword	Wave	Status
1	Singapore-Cambridge O-Level Mathematics 4052, the home volume: Paper 1 and 2, Method Marks and Recovery	o level maths 4052	1	Coming soon
2	O-Level Additional Mathematics 4049, the home volume	a math 4049	1	Coming soon
3	Singapore PSLE Mathematics, the home volume	psle maths	1	Coming soon
4	A-Level H2 Mathematics 9758	h2 math 9758	1	Coming soon
5	A-Level H1 Mathematics 8865	h1 math 8865	2	Coming soon
6	A-Level H2 Further Mathematics 9649	h2 further maths	2	Coming soon
7	Cambridge IGCSE Mathematics 0580, Core and Extended	igcse maths 0580	1	Coming soon
8	Cambridge IGCSE Additional Mathematics 0606	igcse additional mathematics 0606	1	Coming soon
9	Cambridge IGCSE International Mathematics 0607	igcse international maths 0607	3	Coming soon
10	Cambridge International AS and A Level Mathematics 9709	a level maths 9709	1	Coming soon
11	Cambridge International A Level Further Mathematics 9231	further maths 9231	3	Coming soon
12	IB Mathematics: Analysis and Approaches SL and HL	ib math aa hl	1	Coming soon
13	IB Mathematics: Applications and Interpretation SL and HL	ib math ai	1	Coming soon
14	UK GCSE Mathematics: AQA 8300, Edexcel 1MA1, OCR J560	gcse maths revision	2	Coming soon
15	UK A-Level Mathematics: Edexcel 9MA0, AQA 7357, OCR H240	a level maths revision	2	Coming soon
16	UK A-Level Further Mathematics	a level further maths	3	Coming soon
17	Digital SAT Math	sat math prep	1	Coming soon
18	ACT Math	act math prep	2	Coming soon
19	AP Calculus AB and BC	ap calculus bc	2	Coming soon
20	AP Statistics and AP Precalculus	ap statistics	3	Coming soon
21	India JEE Main and Advanced Mathematics	jee maths	2	Coming soon
22	India CBSE Class 12 Mathematics	cbse class 12 maths	3	Coming soon
23	China Gaokao Mathematics	gaokao math	2	Coming soon
24	South Korea CSAT Mathematics	csat math	3	Coming soon
25	Japan Common Test Mathematics I·A and II·B·C	common test mathematics japan	3	Coming soon
26	Hong Kong HKDSE Mathematics: Compulsory, M1 and M2	hkdse maths	2	Coming soon
27	Malaysia SPM Mathematics 1449 and Additional Mathematics 3472	spm add maths	2	Coming soon
28	Australia HSC Mathematics (Standard, Advanced, Extension 1 and 2) and VCE Methods and Specialist	hsc maths	3	Coming soon
29	Cambridge Primary and Lower Secondary Checkpoint Mathematics	checkpoint maths	2	Coming soon
30	WASSCE Mathematics and South Africa NSC Mathematics	wassce maths	3	Coming soon

Estate B: Olympiad and competition mathematics (18)

#	Planned title	Focus keyword	Wave	Status
31	Maths Olympiads in Singapore: The Complete Calendar and Which One Suits Your Child	math olympiad singapore	1	Coming soon
32	SMOPS (Hwa Chong): Format, Question Patterns and Preparation	smops	1	Coming soon
33	NMOS (NUS High): Format and Preparation	nmos	1	Coming soon
34	SASMO: Format, Levels and Preparation	sasmo	1	Coming soon
35	SMO Junior, Senior and Open: Format and Preparation	singapore mathematical olympiad	1	Coming soon
36	Is Maths Olympiad Worth It? Who Benefits and Who Burns Out	is math olympiad worth it	1	Coming soon
37	Olympiads and DSA: What Schools Actually Count	dsa math olympiad	1	Coming soon
38	RIPMWC: Format and Preparation	ripmwc	2	Coming soon
39	AMC 8, 10 and 12: Format and Preparation From Singapore	amc 8	2	Coming soon
40	Math Kangaroo and the UKMT Challenges	math kangaroo	2	Coming soon
41	Olympiad Number Theory: Divisibility, Modular Arithmetic, Diophantine Equations	olympiad number theory	2	Coming soon
42	Olympiad Combinatorics: Counting, Pigeonhole and Invariants	pigeonhole principle	2	Coming soon
43	Olympiad Geometry: From Angle Chasing to Power of a Point	olympiad geometry	2	Coming soon
44	Proof Writing for Olympiads: Induction, Contradiction and the Extremal Principle	proof by induction	2	Coming soon
45	From PSLE Heuristics to Olympiad: The Bridge for Primary 4 to 6	primary math olympiad preparation	2	Coming soon
46	AIME and Beyond: The US Olympiad Ladder	aime	3	Coming soon
47	IMO and APMO: How Singapore Selects and Trains	imo singapore	3	Coming soon
48	Olympiad Algebra: Inequalities, Functional Equations and Polynomials	olympiad inequalities	3	Coming soon

Estate C: Singapore Math for the world (16)

Written for parents, teachers and homeschoolers outside Singapore who buy the method under the name Singapore Math. Every page links down to the Singapore-facing owner on eduKateSingapore.

#	Planned title	Focus keyword	Wave	Status
49	What Is Singapore Math? The Method, the Syllabus and the Books	what is singapore math	1	Coming soon
50	The Bar Model Method: A Guide for Parents and Teachers Worldwide	singapore math bar model	1	Coming soon
51	The CPA Approach: Concrete, Pictorial, Abstract	cpa approach	1	Coming soon
52	Singapore Math vs Common Core	singapore math vs common core	1	Coming soon
53	Dimensions Math vs Math in Focus vs Primary Mathematics: Choosing an Edition	dimensions math vs math in focus	1	Coming soon
54	Number Bonds and Mental Maths the Singapore Way	number bonds	2	Coming soon
55	Singapore Math Grade Levels vs US, UK and Australian Years	singapore math grade level	2	Coming soon
56	Singapore Math Placement: How to Find the Right Starting Book	singapore math placement test	2	Coming soon
57	Singapore Math for Homeschool: A One-Year Plan	singapore math homeschool	2	Coming soon
58	Singapore Math Heuristics: The Full List Explained for Teachers Worldwide	singapore math heuristics	2	Coming soon
59	Why Singapore Tops TIMSS and PISA in Mathematics, and What Transfers	singapore math pisa	2	Coming soon
60	Teaching Singapore Math Without the Textbook	teach singapore math at home	3	Coming soon
61	Singapore Math for Kindergarten and Early Years	singapore math kindergarten	3	Coming soon
62	Singapore Secondary Maths for the World: The New Syllabus Mathematics Route	new syllabus mathematics	3	Coming soon
63	Singapore Math in International Schools: How It Is Adapted	singapore math international school	3	Coming soon
64	Common Mistakes When Adopting Singapore Math Abroad	singapore math problems	3	Coming soon

Estate D: World curricula compared (10)

#	Planned title	Focus keyword	Wave	Status
65	Moving to Singapore: Which Maths Route for an Expat Child (MOE, IB, IGCSE, US)	international school singapore maths	1	Coming soon
66	Singapore vs IB Mathematics	ib vs a level maths	1	Coming soon
67	Singapore vs UK Mathematics Curriculum	singapore vs uk maths	2	Coming soon
68	Singapore vs US Mathematics	singapore vs us math	2	Coming soon
69	Singapore vs China: Shanghai Mastery Compared	shanghai maths method	2	Coming soon
70	Transferring From International to MOE School Maths: The Gap Map	transfer to moe school maths	2	Coming soon
71	Singapore vs India CBSE Mathematics	singapore vs cbse maths	3	Coming soon
72	Singapore vs Japan and Korea	japan math curriculum	3	Coming soon
73	Singapore vs Australia	australian maths curriculum	3	Coming soon
74	Singapore vs Finland	finland maths education	3	Coming soon

Estate E: JC H1, H2 and Further Mathematics topic library (22)

#	Planned title	Focus keyword	Wave	Status
75	H2 Maths: Functions, Inverse and Composite	h2 math functions	1	Coming soon
76	H2 Maths: Graphs and Transformations	h2 math graphs transformations	1	Coming soon
77	H2 Maths: Sequences and Series	h2 math sequences series	1	Coming soon
78	H2 Maths: Vectors, Lines and Planes	h2 math vectors	1	Coming soon
79	H2 Maths: Complex Numbers	h2 math complex numbers	1	Coming soon
80	H2 Maths: Differentiation Techniques and Applications	h2 math differentiation	1	Coming soon
81	H2 Maths: Integration Techniques	h2 math integration	1	Coming soon
82	H2 Maths: Inequalities and Equations	h2 math inequalities	2	Coming soon
83	H2 Maths: Maclaurin Series	maclaurin series h2	2	Coming soon
84	H2 Maths: Definite Integrals, Areas and Volumes	h2 math area volume	2	Coming soon
85	H2 Maths: Differential Equations	h2 math differential equations	2	Coming soon
86	H2 Maths: Permutations and Combinations	h2 math permutations combinations	2	Coming soon
87	H2 Maths: Probability	h2 math probability	2	Coming soon
88	H2 Maths: Discrete Random Variables and the Binomial Distribution	h2 math binomial distribution	2	Coming soon
89	H2 Maths: The Normal Distribution	h2 math normal distribution	2	Coming soon
90	H2 Maths: Sampling and the Central Limit Theorem	h2 math sampling	2	Coming soon
91	H2 Maths: Hypothesis Testing	h2 math hypothesis testing	2	Coming soon
92	H2 Maths: Correlation and Linear Regression	h2 math correlation regression	3	Coming soon
93	H1 Maths 8865: The Complete Topic Map	h1 math	2	Coming soon
94	H3 Mathematics 9820: What It Is and Who Should Take It	h3 math	3	Coming soon
95	Further Maths 9649: Matrices, Further Vectors and Complex Loci	further maths matrices	3	Coming soon
96	Further Maths 9649: Further Calculus, Numerical Methods and Further Statistics	further maths calculus	3	Coming soon

Estate F: IB and international topic libraries (22)

#	Planned title	Focus keyword	Wave	Status
97	AA vs AI, SL vs HL: Choosing the Right IB Maths Course	ib math aa vs ai	1	Coming soon
98	IB Maths IA: 50 Topic Ideas and How the Criteria Are Marked	ib math ia ideas	1	Coming soon
99	IB AA: Calculus, Including HL Maclaurin and Differential Equations	ib math aa calculus	1	Coming soon
100	IGCSE 0580 Extended: The Topic Map and the A* Threshold	igcse maths topics	1	Coming soon
101	IB AA HL: Proof by Induction and Complex Numbers	ib math aa hl complex numbers	2	Coming soon
102	IB AA: Functions and Transformations	ib math functions	2	Coming soon
103	IB AA: Sequences, Series and the Binomial Theorem	ib math sequences series	2	Coming soon
104	IB AA: Trigonometry and Circular Functions	ib math trigonometry	2	Coming soon
105	IB AA and AI: Statistics and Probability	ib math statistics	2	Coming soon
106	IB AI: Modelling and Functions	ib math ai modelling	2	Coming soon
107	GDC Skills for IB Maths: TI-84 and Casio	gdc ib math	2	Coming soon
108	IGCSE 0606 Additional Maths: The Topic Map and How It Differs From 4049	igcse add maths topics	2	Coming soon
109	A-Level 9709 Pure Mathematics 1: Topic Map	9709 pure maths 1	2	Coming soon
110	A-Level 9709 Pure Mathematics 3: Topic Map	9709 pure maths 3	2	Coming soon
111	IB Maths vs H2 Maths: Depth, Style and University Recognition	ib math vs h2 math	2	Coming soon
112	IGCSE vs O-Level Maths: What Differs	igcse vs o level	2	Coming soon
113	IB AI HL: Matrices, Graph Theory and Markov Chains	ib math ai hl matrices	3	Coming soon
114	IB Maths Paper 3 (HL): How to Approach the Extended-Response Problems	ib math paper 3	3	Coming soon
115	A-Level 9709 Mechanics: Topic Map	9709 mechanics	3	Coming soon
116	A-Level 9709 Probability and Statistics 1 and 2: Topic Map	9709 statistics	3	Coming soon
117	UK A-Level Maths: Pure, Mechanics and Statistics Topic Map	a level maths topics	3	Coming soon
118	GCSE Higher Tier: The Grade 9 Topics	gcse maths grade 9	3	Coming soon

Estate G: University entrance and bridging (12)

#	Planned title	Focus keyword	Wave	Status
119	Which Degrees Need H2 Maths, and Which Need Further Maths	h2 math requirement university	1	Coming soon
120	Digital SAT Math: The 800 Plan for Singapore Students	sat math 800	1	Coming soon
121	STEP: Format, Preparation and the Singapore Applicant	step maths	2	Coming soon
122	MAT (Oxford): Format and Preparation	mat oxford	2	Coming soon
123	From H2 Maths to University: Proofs, Analysis and Linear Algebra Bridging	university maths bridging	2	Coming soon
124	NUS, NTU and SMU Mathematics Admissions: Which Subjects and Grades	nus mathematics admission	2	Coming soon
125	TMUA: Format and Preparation	tmua	3	Coming soon
126	Mathematics Degree Pathways Worldwide: UK, US, Australia and Singapore Compared	mathematics degree singapore	3	Coming soon
127	Mathematics for Computer Science Applicants: Discrete Maths Before Year 1	discrete maths computer science	3	Coming soon
128	Mathematics for Economics and Finance Applicants	maths for economics degree	3	Coming soon
129	Mathematics for Engineering Applicants: Vectors, Complex Numbers and Calculus	maths for engineering degree	3	Coming soon
130	Mathematics for Medicine and Life Sciences Applicants: The Statistics That Matter	statistics for medicine students	3	Coming soon

Estate H: Levels, calendar and tools (8)

#	Planned title	Focus keyword	Wave	Status
131	Mathematics Examination Calendar 2027 Worldwide: PSLE, O-Level, A-Level, IGCSE, IB, SAT and AP Dates (refresh yearly)	maths exam dates 2027	1	Coming soon
132	Singapore Maths Levels vs International Grades: The Conversion Table	singapore math levels	1	Coming soon
133	What Maths Level Am I? A 40-Question Placement Self-Check (interactive)	math placement test	1	Coming soon
134	Approved Calculators by Examination Board	seab approved calculators	1	Coming soon
135	Formula Sheets by Examination: What Is Given and What Must Be Memorised (MF26, the IB Booklet, the 4049 List)	mf26	1	Coming soon
136	Method Marks Across Boards: How Working Is Credited by SEAB, Cambridge, IB and AP	method marks maths	2	Coming soon
137	What Changed in Mathematics Examinations in 2027: The Annual Syllabus Watch (refresh yearly)	maths syllabus changes 2027	2	Coming soon
138	Grade Boundaries and Thresholds Explained Across Boards	grade boundaries maths	3	Coming soon

Estate I: Bukit Timah and the specialist route (5)

#	Planned title	Focus keyword	Wave	Status
139	Maths Tuition in Bukit Timah: The Honest Guide to What Is Near Sixth Avenue	maths tuition bukit timah	1	Coming soon
140	H2 Maths Tuition in Bukit Timah	h2 math tuition bukit timah	1	Coming soon
141	IB Maths Tuition in Singapore for International School Students	ib math tuition singapore	1	Coming soon
142	Olympiad Training in Bukit Timah: From SMOPS to SMO	math olympiad training singapore	2	Coming soon
143	Maths at Bukit Timah’s Schools: What Nanyang, MGS, SCGS, Hwa Chong and NYGH Students Bring to the Tutorial	bukit timah schools maths	3	Coming soon

Fixes before new pages

• Set the homepage title tag to: Bukit Timah Tutor | Mathematics Specialist: PSLE, O-Level, A-Math, H2, IB, IGCSE and Olympiad. The current title runs to a full sentence.
• Tell eduKateSingapore’s Project Atlas that its Estate D (Sec 1 to 4 topic explainers) links into the 32 Worked Repair Guides here rather than duplicating their depth.
• Make the twelve Knowledge Warehouse objects the parents of the H2 and IB topic libraries, so each new topic page has one owner above it.
• Give every examination volume and olympiad page a dated checked-against-the-organiser line and an official link, because boards and organisers revise formats on a cycle.
• Keep the university-level pure-mathematics estates as they are; they earn authority, not Singapore searches, and need no new pages in these sixteen weeks.

Total: 143 articles across nine estates, on top of a library that already holds the Operating Manual, the repair and synthesis guides, the real-world applications and the pure-mathematics estates.