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Factorisation Assessments
Diagnose how confidently students factor algebraic expressions, from common factors to trinomials and difference of squares. Built for Year/Grade 7-10 teachers running diagnostic, formative or end-of-unit checks on factorising and factoring.
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What's Included in the Factorisation & Factoring Assessments?
🔥Digital Diagnostic Assessment
A diagnostic check that pinpoints exactly where each student sits on the factorising progression, from highest common factor through to trinomials, perfect squares and difference of two squares. Each question is mapped to a curriculum sub-skill, so the data tells you which step to teach next rather than just who got it right.
🌍 Printable Summative Assessments
Print-ready and digital factorisation tests covering common factor, grouping in pairs, factoring quadratics where a=1 and a>1, difference of squares, and applied problems. Aligned to the Australian Curriculum and US algebra standards, so the same assessment runs cleanly in both classrooms.
💡Problem Solving and Scaffolded Questions
Worded and scaffolded questions that move students from procedural factorising into reasoning. Students explain their choice of factoring method, justify steps, and apply factorisation to area, perimeter and equation-solving problems, so you can see who has surface fluency versus genuine understanding.
Detailed Analytics
Detailed Analytics
Item-level analytics show which factorising sub-skill broke down for which student — whether they're missing the highest common factor, mis-applying the difference of squares pattern, or guessing on trinomials. Sort by class, by skill, or by individual student to plan the next lesson with evidence.
Interactive Assessments
Interactive Assessments
Students sit assessments on any device using a class code. Questions auto-mark in real time, students get instant feedback on what to revise, and teachers see the live data stream as the class works through it.
Planned Lessons With Data
Planned Lesson with Data
Every assessment links back to lesson plans and worksheets that target the exact factorising gaps the data surfaced. So once you've assessed, you're not hunting for re-teach resources — Tutero plans the follow-up lesson on the skills the class actually missed.
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What's Covered in the Factorisation Assessment?
Highest Common Factor and Factoring by Grouping
Factoring Quadratics and Difference of Two Squares
Common Factor and Quadratic Factorisation
Students start with pulling out the highest common factor from linear and polynomial expressions, then move into factoring by grouping for four-term expressions. The assessment checks they can recognise when grouping is the right method versus when a single common factor is enough — a distinction that often separates students who follow a recipe from students who reason about structure. Teachers can pull the question pool short for a 10-minute warm-up or run the full set as a formative check.
Applying Factorisation to Equations and Problem Solving
The final block applies factorisation to solving quadratic equations, simplifying rational expressions and worded problems involving area, perimeter and motion. This is where factoring stops being a stand-alone skill and becomes a tool students reach for inside larger problems — and where the assessment data tells you whether your class is ready to move into the next algebra unit or needs another lesson on the fundamentals.
Explore Tutero's Range of Assessments Built to Diagnose and Close Factorisation Gaps