Most students study for math tests by re-reading their notes, watching YouTube videos, or looking through solved examples. These methods feel productive but they have a major problem: they create an illusion of understanding without building the ability to actually solve problems under test conditions.
The Research Behind Active Recall
Cognitive science research has consistently shown that practice testing (attempting to retrieve information from memory rather than passively reviewing it) produces stronger and longer-lasting learning. This is called the testing effect.
A landmark study published in the journal Science found that students who practiced retrieving information remembered significantly more than students who spent the same amount of time re-studying. The effect was especially strong for problem-solving tasks like math, where understanding the method matters more than memorizing facts.
Why Passive Studying Fails for Math
When you read through a worked solution, your brain processes it smoothly and you feel like you understand it. But feeling like you understand and being able to reproduce the solution on a blank test paper are two completely different things.
This is called the fluency illusion: the ease of processing makes you overestimate how well you actually know the material. Students who study passively often feel confident going into a test and then freeze when they see questions they need to solve from scratch.
How to Use Practice Tests Effectively
Not all practice testing is equal. Here's how to get the most out of it:
Attempt before you check.
The entire point of practice testing is to force your brain to retrieve and reconstruct the solution process. If you look at the answer before genuinely attempting the question, you lose the learning benefit. Give yourself a real attempt: even if you get stuck and can't finish, the struggle itself strengthens your understanding.
Use tests that match your actual test.
Generic practice questions are better than nothing, but the most effective practice uses questions that match the style, difficulty, and topic coverage of your real test. Questions built from real tutoring experience with YRDSB and TDSB students are ideal: they're calibrated to what Ontario teachers actually test, not generic textbook exercises.
Review your mistakes carefully.
After checking the solution, don't just note that you got it wrong. Identify exactly where your approach broke down and why. Then try a similar question to make sure you've actually fixed the gap.
Space it out.
One practice test three days before your exam, with a review session in between, will produce better results than three practice tests crammed into the night before.
Practice with Martian Lab
Martian Lab is built around this research. Before you attempt a single question, you go through a unit review: detailed, simple explanations of every concept, so you're genuinely prepared. Then you practice with carefully curated questions from 20 years of tutoring YRDSB and TDSB students: attempt each question first, then reveal the full step-by-step solution and compare it to your approach.
Try Your First 3 Questions Free