Spaced Repetition for Actuarial Exams: Why It Works

The Science of Forgetting

Hermann Ebbinghaus discovered in the 1880s that we forget information in a predictable curve. Without review, you lose roughly 70% of new material within 48 hours and up to 90% within a week. This forgetting curve is not a flaw in human cognition but rather an efficiency mechanism. Your brain discards information it does not encounter repeatedly because it assumes that unused information is unimportant.

Spaced repetition fights the forgetting curve by scheduling reviews at increasing intervals: one day, three days, one week, two weeks, one month. Each review strengthens the memory trace and extends the interval before the next review is needed. After enough repetitions, the information moves into long-term memory where it becomes highly resistant to forgetting. The key insight is that reviewing at the moment you are about to forget is far more effective than reviewing when the material is still fresh.

How Spaced Repetition Works Mechanically

A spaced repetition system assigns each piece of information an interval based on how well you know it. When you review a card and recall it easily, the interval increases (for example, from 3 days to 7 days). When you struggle or get it wrong, the interval resets to a short period (such as 1 day). Over time, well-known material appears rarely while difficult material appears frequently. This concentrates your review time on exactly the items that need the most reinforcement.

The mathematical basis for optimal spacing intervals has been studied extensively. While the exact ideal intervals vary by individual, the general pattern of exponentially increasing gaps between reviews is well established. Software like Anki implements these algorithms automatically, removing the need for you to manually schedule your reviews. The algorithm adapts to your personal forgetting rate for each individual card.

Applying It to Actuarial Exams

Create flashcards for formulas, definitions, and key concepts. For actuarial exams, spaced repetition works especially well for several categories of material. Probability distribution formulas and their properties (mean, variance, moment generating functions) are ideal flashcard content. Interest rate formulas including present value, future value, annuity factors, and their relationships respond well to this approach. Life contingency notation such as the various annuity and insurance symbols is another strong candidate. Key definitions and theorems that appear across multiple exam topics also benefit from regular spaced review.

When creating cards, follow the minimum information principle: each card should test one atomic piece of knowledge. Instead of putting an entire table of distribution properties on one card, create separate cards for each distribution's mean, variance, and MGF. This approach gives the algorithm better information about what you actually know and produces more precise scheduling.

Combining Spaced Repetition with Active Problem Solving

Flashcard review alone is not sufficient for actuarial exam preparation. The exams test your ability to apply concepts to novel problems, not just recall isolated facts. The most effective approach combines spaced repetition with active problem solving. Review the concept card, then immediately work a related practice problem. This dual approach builds both recall and application skills, which is exactly what the exams test.

For example, after reviewing a card on the Poisson distribution's probability mass function, solve a practice problem that requires computing Poisson probabilities in a specific context. After reviewing a card on the relationship between annuity-immediate and annuity-due, work a problem that requires converting between the two. This pairing reinforces the formula in memory while also training you to recognize when and how to use it.

Setting Up Your System

Anki is the most popular spaced repetition software for actuarial candidates, and it is free for desktop and Android (with a paid iOS app). Start by creating a deck for each exam. Within each deck, organize cards by topic using tags or subdecks. Configure your daily review limit to a manageable number, typically 20 to 50 reviews per day plus 10 to 20 new cards. A daily review session of 15 to 25 minutes is usually sufficient to maintain your growing card collection.

Create cards as you study each topic rather than creating them all at once at the end. The act of deciding what to put on a card and how to phrase it is itself a learning exercise. Include cards for formulas, definitions, key relationships, common pitfalls, and conditions under which specific techniques apply. Avoid creating cards for material that is better learned through practice problems, such as multi-step solution procedures.

Common Mistakes to Avoid

The most common mistake with spaced repetition is creating cards that are too complex. A card that asks you to reproduce an entire derivation from memory is testing too many things at once. Break complex material into smaller pieces. Another mistake is neglecting your daily reviews when they start to pile up. If you skip reviews for several days, the backlog grows rapidly and becomes discouraging. It is better to do a smaller number of reviews consistently than to do large sessions sporadically.

Some candidates fall into the trap of substituting flashcard review for genuine study. Spaced repetition is a retention tool, not a learning tool. You still need to understand concepts deeply through reading, lectures, and problem solving before creating cards to retain that knowledge. Use spaced repetition to preserve what you have already learned while you continue learning new material. This combination of ongoing learning with systematic retention is what makes the approach so powerful over a multi-month study period.

Measuring Your Progress

Anki provides built-in statistics that show your retention rate, the number of cards at each interval stage, and your daily review patterns. A mature retention rate of 85% to 95% indicates that the system is working well. If your retention rate drops below 80%, you may be adding new cards too quickly or not reviewing consistently enough. Track how your flashcard knowledge translates to practice exam performance. If you can recall formulas easily but still struggle on exams, you may need more application-focused practice alongside your flashcard reviews.