.svg)
Logarithms Assessments
Build logarithms assessments for your Year 10 and Algebra 2 students in minutes. Diagnose how well they apply the log laws, solve logarithmic equations, and convert between exponential and logarithmic form — then act on the data with summative and scaffolded follow-ups.
.svg)
What’s Included in the Logarithms Assessments?
🔥Digital Diagnostic Assessment
The diagnostic assessment surfaces exactly where each student sits on logarithms — from evaluating simple logs and converting between index and logarithmic form, through to applying the product, quotient and power log laws. Live results stream in as students work, so you can pull a small group for re-teach the same lesson instead of waiting for marking.
🌍 Printable Summative Assessments
The printable summative assessment gives you a clean end-of-topic paper covering the log laws, change of base, solving logarithmic equations, and applying logarithms to exponential growth and decay. Question banks are aligned to the Year 10 / Algebra 2 logarithms curriculum and are easy to differentiate — swap, scaffold, or extend any question without rebuilding the paper.
💡Problem Solving and Scaffolded Questions
Problem-solving and scaffolded questions push students beyond procedure into application: pH and the Richter scale, decibels, compound interest, and exponential decay. Scaffolded versions break each multi-step problem into smaller cues so students who freeze on word problems still get a way in — and you still get a clear read on their reasoning.
Detailed Analytics
Detailed Analytics
Each diagnostic question is tagged to a specific logarithms skill, so the dashboard tells you which students need work on the log laws, which are still confusing exponential and logarithmic notation, and which are ready to move on to solving equations. Use the report to plan your next lesson before the bell, not the night before.
Interactive Assessments
Interactive Assessments
Print, project, or assign digitally. Every summative assessment comes with a fully worked solution set, so a colleague covering your class can mark it confidently. Cover sheets list the log laws, change of base, and logarithmic equation skills assessed, making moderation and reporting straightforward.
Planned Lessons With Data
Planned Lesson with Data
Application questions show students that logarithms are not an abstract topic — they describe the world. Real-context problems on sound intensity, earthquake magnitude, half-life, and compound interest help students see why the log laws and logarithmic equations matter, and give you stronger evidence for the higher achievement bands.
Create your logarithms assessments today!
"I love this assessment on logarithms"
- You in approximately four minutes
What is covered in the logarithms assessment?
The Log Laws and Converting Between Forms
Solving Logarithmic Equations
Applications: Growth, Decay, pH, Decibels and Compound Interest
The first block of questions tests whether students can move fluently between exponential and logarithmic form, evaluate logs of common bases, and apply the product, quotient and power log laws to simplify expressions. Adaptive digital questions give immediate feedback, while printable versions ask students to show full working — useful evidence when you are reporting on their algebraic reasoning. Customise which log laws to emphasise based on where your class is up to in the unit.
The next section moves into solving logarithmic and exponential equations — using the log laws to combine or split expressions, applying change of base, and recognising when to introduce logarithms to solve for an unknown exponent. Questions step up in difficulty so you can pinpoint the moment a student loses the thread. The teacher view groups common errors automatically (forgetting domain restrictions, mishandling negative arguments, dropping a coefficient) so you can address them in the next lesson.
The final section assesses how well students apply logarithms in context. Questions cover exponential growth and decay, half-life, sound intensity, earthquake magnitude, pH, and compound interest — the standard real-world contexts examiners use. Scaffolded versions break multi-step problems into smaller cues, so weaker problem-solvers still get a way in and you still get a fair read on their reasoning. Use the data to decide whether to spend an extra lesson on word problems or move on to the next topic with confidence.
Explore Tutero’s logarithms assessments designed to diagnose log laws, solving logarithmic equations, and exponential applications