Mathematics courses

For Grades 9–10: ten topics, fifty worked examples and ten Mock tests. Learn to spot the key idea, solve each example again yourself, then practise with real competition problems.

For Grades 7–8: ten topics, fifty worked examples and ten Mock tests. Learn to spot the key idea, solve each example again yourself, then practise with real competition problems.

For grades 3–4: ten topics, fifty worked examples explained step by step, and ten Mock tests. Learn to spot the key idea, solve each problem again on your own and practise with real competition problems.

For grades 11–12. Ten topics, fifty worked examples and ten Mock exams. Recognise the key idea, re-solve each example yourself, then practise with real competition problems.

For grades 5–6. Ten topics, fifty worked examples and ten mock tests. Learn to spot the key idea, solve each example again by yourself and practise with real contest problems.

Four knowledge groups and 13 topics, with concise teaching points, step-by-step examples and practice linked directly to the question bank. AMC12 extensions are identified explicitly.

7 knowledge groups, 20 topics and 20 Mocks. Study the concepts, work through detailed examples and practice with questions in the bank.

A combined senior course: connect algebra, functions, geometry, counting and probability through clear reasoning and original-bank practice.

Explore numbers, equal groups, pictures and clever ways to count. Learn through small models, five guided examples per topic and original AMO practice.

Connect digits, cycles, equal groups, fractions and geometry through clear pictures, five guided examples per topic and original AMO practice.

Build clear mathematical ideas through short models, guided examples and varied practice. Start with arithmetic and fractions, then explore geometry, counting and careful reasoning.

Build clear mathematical ideas through short models, guided examples and varied practice. Start with arithmetic and fractions, then explore geometry, counting and careful reasoning.

Build clear mathematical ideas through short models, guided examples and varied practice. Start with arithmetic and fractions, then explore geometry, counting and careful reasoning.

Build clear mathematical ideas through short models, guided examples and varied practice. Start with arithmetic and fractions, then explore geometry, counting and careful reasoning.

Build clear mathematical ideas through short models, guided examples and varied practice. Start with algebra, numbers and patterns, then apply ratios, rates and geometry, and finish with counting, probability and careful reasoning.

12 topics built mainly from the official American Mathematics Olympiad (AMO) Grade 4 papers 2016–2025, with self-study sets for extra practice: every rule shown with a picture or diagram, 60 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.

10 topics built from all Asian Pacific Mathematics Olympiad (APMO) papers 1989–2026: key ideas with pictures, 50 fully worked proofs and the real APMO problems of each topic for proof practice.

Mathematical thinking topics with explanatory visuals, worked examples, practice and 30-minute tests.

For Grades 1–2: all 345 book items, twelve illustrated topics, 60 guided examples, 12 fixed 15-question Mocks, and expanded original-bank practice covering at least 80% of the inventoried bank. Course-specific picture clues leave source-bank data unchanged.

Twelve illustrated topics for Grades 3-4: 60 guided examples, varied real-problem practice and twelve fifteen-question Mocks. Learn a method, explain it and check it.

Twelve illustrated topics, sixty guided examples and original IKMC practice problems. Explain the method, practise independently and finish each topic with a fifteen-question Mock.

Twelve illustrated topics, sixty guided examples and original IKMC practice. Explain the model, practise independently and finish each topic with a fifteen-question Mock.

Eleven illustrated topics, each with guided examples, original practice questions and a topic Mock test.

Junior · Grades 7–8. 10 topics · 50 step-by-step examples · 10 Mocks, each with 15 questions / 30 minutes. Learn an idea, solve again, then practise with real problems.

Middle Primary · Grades 3–4. 10 topics · 50 step-by-step examples · 10 Mocks, each with 15 questions / 30 minutes. Learn an idea, solve again, then practise with real problems.

Upper Primary · Grades 5–6. 10 topics · 50 step-by-step examples · 10 Mocks, each with 15 questions / 30 minutes. Learn an idea, solve again, then practise with real problems.

14 topics built from IMC Key Stage 2 (EMIC) individual and team papers 2003–2026: key ideas with pictures, 70 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.

10 topics built from IMC Key Stage 3 (IWYMIC) individual and team papers 1999–2026: key ideas with pictures, 50 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.

Eleven illustrated topics for advanced primary mathematics, organised into Short-Answer, Exploration and Essay. Learn clear models, practise original problems and develop complete reasoning.

Twelve illustrated science topics for advanced learners in Grade 6 and below: careful observation, living things, matter, energy and Earth. Explain evidence, practise original questions and test your understanding.

12 topics built from Singapore Mathematical Olympiad (SMO) Junior Section papers 2005–2026, Round 1 and Round 2: key ideas with pictures, 60 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.

12 topics built from Singapore Mathematical Olympiad (SMO) Open Section papers 2005–2026, Round 1 and Round 2: key ideas with pictures, 60 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.

11 topics built from Singapore Mathematical Olympiad (SMO) Senior Section papers 2005–2026, Round 1 and Round 2: key ideas with pictures, 55 fully worked examples, real practice questions and a 15-question, 30-minute Mock for every topic.