Research Questions
Challenging questions and investigations designed to stretch students beyond the standard curriculum.
Open Problems
Challenging, exam-style questions that highlight gaps in current understanding across GCSE, A Level, 11+, 13+, and SAT topics.
- Problem Set 1 — Open problems in algebra
- Problem Set 2 — Open problems in geometry
- Problem Set 3 — Open problems in statistics and probability
Exploratory Questions
Guided questions that help students investigate new ideas and build intuition across algebra, geometry, trigonometry, and statistics.
- Worksheet 1 — Exploratory questions in algebra
- Worksheet 2 — Exploratory questions in geometry
- Worksheet 3 — Exploratory questions in trigonometry
Extended Investigations
Multi-step investigations that connect topics, build exam confidence, and prepare students for unfamiliar problems.
- Investigation 1 — Extended investigation in algebra and functions
- Investigation 2 — Extended investigation in geometry and measures
- Investigation 3 — Extended investigation in statistics and data handling