Vo2 Max table math Formula

Beep Test Levels, Table Calculations & VO2 Max Formula

The complete guide to understand beep test progression, the full table of all the beep test levels & shuttles and how the VO2 max is calculated.

As we have seen how to perform the perfect beep test, let’s now focus on how the beep test progression works and how that final level & shuttle numbers become your VO2 max estimate.

After developing our VO2 Tests app and implementing the needed calculations hundreds of times, we realized that understanding these technical details help to explain why the test is so effective.

How The Beep Test Actually Progresses: The Full Table

The beep test is not random. It follows carefully designed mathematical progression that creates reliable fitness assessment.

Beep Test Table: Complete Details for Every Level

LevelShuttlesRunning Speed, km/h (mph)Running Time per Shuttle (s)Cumulative Time (mm:ss)Cumulative Distance, m (miles)
178.0 (5.0)9.001:03140 (0.09)
289.0 (5.6)8.002:07300 (0.19)
389.5 (5.9)7.583:08460 (0.29)
4910.0 (6.2)7.204:12640 (0.40)
5910.5 (6.5)6.865:14820 (0.51)
61011.0 (6.8)6.556:201020 (0.63)
71011.5 (7.1)6.267:221220 (0.76)
81112.0 (7.5)6.008:281440 (0.89)
91112.5 (7.8)5.769:321660 (1.03)
101113.0 (8.1)5.5410:321880 (1.17)
111213.5 (8.4)5.3311:362120 (1.32)
121214.0 (8.7)5.1412:382360 (1.47)
131314.5 (9.0)4.9713:432620 (1.63)
141315.0 (9.3)4.8014:452880 (1.79)
151315.5 (9.6)4.6515:463140 (1.95)
161416.0 (9.9)4.5016:493420 (2.13)
171416.5 (10.3)4.3617:503700 (2.30)
181517.0 (10.6)4.2418:534000 (2.49)
191517.5 (10.9)4.1119:554300 (2.67)
201618.0 (11.2)4.0020:594620 (2.87)
211618.5 (11.5)3.8922:014940 (3.07)

Speed Progression: More Complex Than It Looks

Everyone knows the basic pattern: start at 8.0 km/h, increase by 0.5 km/h each level after the level 2.

  • Level 1: 8.0 km/h (4.97 mph)
  • Level 2: 9.0 km/h (5.28 mph)
  • Level 3: 9.5 km/h (5.59 mph)
  • Level 4: 10.5 km/h (5.90 mph)
  • Level 5: 11.0 km/h (6.21 mph)

Simple right? But here is what makes this progression brilliant: the percentage increase in effort required is not linear. Going from 9.0 to 9.5 km/h correponds to an increase of 5.6%, but going from 15.0 to 15.5 km/h is only about an increase of 3.3%. This creates a challenge curve that pushes people to their limit more effectively than a linear progression would.

As speeds increase, the time available for each shuttle decreases:

  • Level 1 (8.0 km/h): 9.0 seconds per 20m shuttle
  • Level 5 (11.0 km/h): 6.86 seconds per 20m shuttle
  • Level 10 (13.0 km/h): 5.54 seconds per 20m shuttle
  • Level 15 (15.5 km/h): 4.65 seconds per 20m shuttle

This is why timing precision has so much importance. Even 0.1 second error per beep compounds dramatically over the course of test. Our VO2 Tests app eliminates these timing inconsistencies with algorithmic precision.

Shuttle Structure: The Hidden Complexity

Most people think each level has the same number of shuttles, but this is not true. The original Léger protocol uses variable shuttle structure designed to make each level last approximately one minute.

Standard 20 Meter Protocol:

  • Level 1: 7 shuttles
  • Level 2: 8 shuttles
  • Level 3: 8 shuttles
  • Level 4: 9 shuttles
  • Level 5: 9 shuttles
  • Levels 6+: Generally 10 to 11 shuttles per level

15 Meter Protocol Adjustments:

For the 15 meter Beep test, the shuttle counts adjust proportionally to maintain equivalent effort levels. Our VO2 Tests app automatically handles these conversions. This ensures that whether you test at 15 meters or 20 meters, your VO2 max calculation remains accurate and comparable.

Why this is important ? Many beep test versions use simplified structures (like 10 shuttles per level) that throw off the VO2 max calculations. Using the correct protocol ensures that your results are valid and can be compared to research standards.

Distance Calculations: The Simple Math

By the end of beep test, you covered serious distance. But calculating exactly how much requires understanding the progression structure.

Basic Distance Formula:

Total Distance = (Number of Completed Shuttles) × (Shuttle Distance)

Example Calculation (20m Protocol):

If you complete Level 11, Shuttle 6:

  • Levels 1 to 10 complete: 7+8+8+9+9+10+10+10+10+10 = 91 shuttles
  • Level 11 partial: 6 shuttles
  • Total shuttles: 97
  • Total distance: 97 × 20m = 1,940 meters

Our VO2 Tests app performs these calculations automatically and tracks your cumulative distance in real time. So you always know exactly how far you have run. For perspective: completing Level 12 means you have run nearly 2.5 kilometers at progressively increasing speeds.

Elite Performance Benchmarks:

  • Level 15 completion: approximately 3,000 meters (20m protocol)
  • Level 17 completion: approximately 3,600 meters
  • Level 20 plus (rare): 4,000 plus meters

From Your Beep Test Level to Your VO2 Max: The Mathematical Formula

Now, how do your final level and shuttle convert to that VO2 max number? The answer is carefully validated in a mathematical formula that has been developed and matured through decades of research.

The Official Formula Breakdown

The internationally accepted formula is:

VO2 Max = 3.46 × (L + S / (L × 0.4325 + 7.0048)) + 12.2 (Ramsbottom, R., Brewer, J., & Williams, C. (1988)).

Where:

  • L = The last completed level
  • S = The number of shuttles completed in that level

This looks complex, but each component serves specific purpose based on the physiological demands of the test progression.

Understanding Each Variable

L (Level): This represents the level reached during the shuttle run test.

S (Shuttle): This is the number of shuttles (laps back and forth along the 20m track) completed within the current level before the participant stops or fails to keep pace. It captures partial completion within a level.

The denominator (L × 0.4325 + 7.0048) and the constants (3.46 and 12.2): This is the mathematical part that accounts for the non linear relationship between running speed and oxygen consumption and comes from regression analysis of thousands of laboratory VO2 max tests compared to beep test performances. They all calibrate the formula to match actual measured oxygen consumption.

Step by Step Calculation Examples

Let’s see a real example to understand how this formula translates test performance into VO2 max estimates.

Example: Recreational Fitness Level

  • Final score: Level 8, Shuttle 5 (8.5)
  • L = 8, S = 5
  • Calculation: 3.46 × (8 + 5/(8 × 0.4325 + 7.0048)) + 12.2 = 41.5 ml/kg/min

Our VO2 Maximizer app performs these calculations instantly and without errors. But understanding the math helps you appreciate the precision involved.

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