How the MemPi Index Works
The MemPi Index is a calibrated 0 to 100 cognitive benchmark score awarded upon completing the PlayMemorize Daily Minute. It integrates raw cognitive output, processing speed under pressure, and decision accuracy into a single standardized metric.
"The MemPi Index penalizes mindless guessing and rewards calibrated speed. Accuracy always comes first."
The Three Scoring Pillars
Your final score is the sum of three weighted components, bounded between 0 and 100 points.
1. Raw Output (Base Score: up to 85 pts)
Base = min(85, round(Score * 3.75)) Evaluates raw problem-solving output across the 20 rapid questions. Each correct answer contributes 3.75 points toward the base score. Reaching 23 correct answers achieves the maximum cap of 85 points.
2. Speed Under Pressure (Speed Bonus: up to 24 pts)
Speed Bonus = (endReason == "wrong") ? 0 : round(max(0, 60 - Duration) * 0.4) Rewards quick mental tempo. For every full second saved under the 60-second limit, 0.4 bonus points are awarded. If the round ends early due to an unforced wrong answer, the speed bonus is completely forfeited (0 points) to discourage reckless guessing.
3. Flawless Precision (Accuracy Bonus: 10 pts)
Accuracy Bonus = (Clicks == Score && Score > 0) ? 10 : 0 A flat 10-point bonus awarded when every single click made during the run was correct. Even a single misclick or incorrect guess forfeits this bonus entirely.
Percentile Benchmark Tiers
Calibrated performance brackets mapped to normative speed and accuracy percentiles.
Flawless tempo and exceptional cognitive switching speed across multi-domain challenges.
Superior working memory and rapid mental arithmetic with near-zero latency.
High accuracy and steady mental rhythm under continuous time pressure.
Solid problem-solving baseline performing above the general population median.
Balanced cognitive tempo with emerging speed in visual and numerical recall.
Acclimating to rapid multi-task switching. Fast gains occur with daily repetition.
Cognitive Science Framework
Designed in accordance with peer-reviewed psychometric and neurocognitive principles.
Dual-Process Cognitive Control
Rooted in Daniel Kahneman System 1 (fast reflexive intuition) and System 2 (deliberate analytical verification). The scoring model penalizes blind reflexive clicking by stripping both speed and accuracy bonuses upon an error.
Cattell-Horn-Carroll (CHC) Multi-Domain Loading
The Daily Minute systematically interleaves four cognitive faculties: Processing Speed (Gs), Working Memory Capacity (Gwm), Fluid Reasoning (Gf), and Visual-Spatial Rotation (Gv), preventing single-task motor habituation.
Speed-Accuracy Trade-off (SAT) Calibration
Utilizes drift-diffusion boundary dynamics. Players must calibrate their internal decision threshold to answer as quickly as possible without crossing into error-prone impulsivity.
Real Run Calculations
Step-by-step breakdown of how different runs convert into the MemPi Index.
The 60-Second Flawless Run (Screenshot Example)
18 correct answers in 60s with 100% accuracy (18 clicks).
Base: 18 * 3.75 = 68 pts | Speed: (60 - 60) * 0.4 = 0 pts | Accuracy: 10 pts | Total = 78 MemPi Index (Top 5%) Sub-Minute Speed Demon
20 correct answers completed in 45s with 100% accuracy (20 clicks).
Base: 20 * 3.75 = 75 pts | Speed: (60 - 45) * 0.4 = 6 pts | Accuracy: 10 pts | Total = 91 MemPi Index (Top 1%) Fast Run with One Error
15 correct answers in 50s ending on a wrong click (15 correct, 16 clicks).
Base: 15 * 3.75 = 56 pts | Speed: 0 pts (forfeited on error) | Accuracy: 0 pts | Total = 56 MemPi Index (Top 15%)