Linear Equations in Three Unknowns for AQA Level 2 Certificate in Further Mathematics (8365), specification point 2.16. A student sheet and a teacher pack with a full mark scheme, 14 pages.

Reducing three equations to two, then to one — with a full modelling problem.

STUDENT SHEET (6 pages)
• Learning objectives and a prerequisite recap
• A “Given or memorised?” panel setting out what the June 2026 formulae sheet provides and what students have to remember
• 2 worked examples with full method
• Guided practice with partial scaffolding
• Independent practice graded across three tiers: Foundation, Secure and Stretch
• Exam-style questions written to real paper mark weightings, 16 marks
• 1 original diagram

TEACHER PACK (8 pages)
• 8 common misconceptions. Each gives why it happens, how it shows up in a student’s book, and what to do about it, tied to the questions in this unit that probe it.
• Full worked solutions to every question, with a teaching note on each
• A mark scheme in AQA format, with additional guidance rows showing what a wrong answer actually scores

WHY THE ANSWERS ARE RIGHT
Every numerical answer is computed independently by computer algebra before the resource is drafted, then re-derived a second time from the finished PDF by a separate script that deliberately uses a different method, so repeating the original mistake cannot produce a false pass. This unit alone carries 96 first-pass and 224 second-pass checks. Diagrams are generated programmatically and every marked point is asserted against the mathematics before it is drawn.

All questions are original. No question is adapted from a past paper, a textbook or any other published resource.

Also included: a greyscale version, rebuilt from source rather than desaturated, for departments that print in mono.

This resource is not endorsed by or affiliated with AQA.

Unit 11 of a 35-unit suite covering 56 of the 57 assessable specification points.