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Formula, in Cardio Conditioning

VO₂ Max Formula (Cooper Test)

VO₂ max is the maximum rate of oxygen your body uses during exercise. Cooper's 12-minute run test gives a field estimate within about 10% of lab-measured values. Higher VO₂ max is one of the strongest correlates of all-cause mortality.

2 variables. Published Mar 12, 2026. Updated May 10, 2026. By AI Fit Hub.

Education, not medical advice. The result comes only from the published formula and your inputs. How we check our formulas.

Formula
Cooper 12-minute run: VO₂max (ml/kg/min) = (distance_m − 504.9) / 44.73

Variables

VO₂max

Maximum oxygen uptake

ml/kg/min. Reference: 35–40 average male, 30–35 average female; 50+ very fit, 60+ elite endurance. Drops ~10% per decade after 30.

distance_m

Distance covered in 12 minutes

Meters. Run an even pace on a flat track or measured route — no walking breaks. Warm up thoroughly first.

Step by step

  1. 1

    Warm up with 10–15 minutes of light jogging plus 4–6 strides.

    Easy 1.5 km jog + 4 × 100 m strides at 5K pace.

  2. 2

    Run as far as possible in exactly 12 minutes on a track or flat surface. Pace evenly; if you blow up at minute 8, the result underestimates true VO₂max.

    Target: 2,700–2,900 m for a recreational adult; 3,200+ for trained.

  3. 3

    Record distance in meters.

    2,800 m covered.

  4. 4

    Apply Cooper's regression: subtract 504.9, divide by 44.73.

    (2,800 − 504.9) / 44.73 = 2,295.1 / 44.73 = 51.3 ml/kg/min.

Worked example

12-minute run, 2,800 m covered

Distance (m)

2,800

Test duration (min)

12

VO₂max = (2,800 − 504.9) / 44.73 = 51.3 ml/kg/min

Estimated VO₂max 51 ml/kg/min — excellent for a recreational adult, average for a trained endurance athlete.

Common variations

Rockport one-mile walk: VO₂max = 132.853 − 0.0769·mass_lb − 0.3877·age + 6.315·sex(M=1) − 3.2649·time_min − 0.1565·HR_finish.
1.5-mile run: VO₂max = (3.5 + 483 / time_min). Lower bar to entry, similar accuracy to Cooper.
Submaximal step tests (YMCA, Astrand-Rhyming) estimate from heart-rate response — safer for sedentary populations but less accurate at high fitness.

Run the numbers next

  • Cardio Running Pace Calculator

    Calculate pace per km and mile and project race finish times from one run.

  • Cardio Race Time Predictor

    Race Time predictor: predict finish times across 5K, 10K, half marathon, and marathon from any known race result using Riegel's formula.

  • Cardio Swim Pace Calculator

    Calculate swim pace, total time, or distance with SWOLF and effort-zone context.

  • Cardio Cycling Power & FTP Zone Calculator

    Calculate your 7 Coggan power training zones from FTP or a 20-minute test result with W/kg ratio.

Sources

  1. Cooper KH. A means of assessing maximal oxygen intake. Correlation between field and treadmill testing , JAMA (1968)
  2. Strasser B, Burtscher M. Survival of the fittest: VO2max, a key predictor of longevity? , Frontiers in Bioscience

General fitness estimates, not medical advice. For a medical decision, ask a doctor.