Cooper Test Calculator
| Test | What you measure | Equation |
|---|---|---|
| Cooper 12-minute run | Metres covered in 12 minutes, flat, all out | VO2 max = (metres - 504.9) / 44.73 |
| Rockport 1-mile walk | Walk time, heart rate at the line, age, sex, weight | 132.853 - (0.0769 x lb) - (0.3877 x age) + (6.315 x sex) - (3.2649 x minutes) - (0.1565 x HR) |
| Queens College step | Recovery pulse after 3 minutes of stepping | Men 111.33 - (0.42 x HR), women 65.81 - (0.1847 x HR) |
| Heart rate ratio | Max heart rate and resting heart rate | VO2 max = 15.3 x (HRmax / HRrest) |
| Harvard step test | Three recovery pulse counts after 5 minutes of stepping | Fitness index = (100 x seconds) / (2 x sum of the three counts) |
VO2 max in ml/kg/min. Sources: Cooper 1968; Kline et al. 1987 (Rockport, sex coded male 1, female 0); McArdle et al. 1972 (Queens College); Uth, Sorensen, Overgaard and Pedersen 2004 (heart rate ratio). The Harvard test returns a recovery index rather than a VO2 max, so that is what this page prints for it.
Run as far as you can in 12 minutes, type the metres into the calculator above, and it returns your estimated VO2 max from Cooper's 1968 equation: (metres minus 504.9) divided by 44.73. Cover 2,400 metres and you get 42.4 ml/kg/min; cover 3,000 and you get 55.8. The calculator also places the number against age and sex norms, and because this is the reference test for the whole cluster, it prints the distance back as the "equivalent 12-minute run" so the walk test and the step tests can be read against it.
Cooper test calculator: distance to VO2 max
| Distance in 12 minutes | Estimated VO2 max (ml/kg/min) |
|---|---|
| 1,600 m | 24.5 |
| 1,800 m | 29.0 |
| 2,000 m | 33.4 |
| 2,200 m | 37.9 |
| 2,400 m | 42.4 |
| 2,600 m | 46.8 |
| 2,800 m | 51.3 |
| 3,000 m | 55.8 |
| 3,200 m | 60.3 |
| 3,400 m | 64.7 |
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Every 200 metres is worth about 4.5 points. Keep that scale in your head when you read a result, because a badly paced test that costs you 100 metres shows up as two points of engine you never lost. The norms table further down the page turns the number into a band for your age and sex.
What you need
A running track. Four hundred metres, marked lanes, because distance is the entire measurement and you want it exact, and because a track is the one surface where a partial lap can be paced out to the nearest 10 metres without arguing with a GPS trace. A flat, measured road loop works if you trust your watch and there are no lights to stop at. You need a timer with a 12-minute alarm, something to mark where you stopped, and a day when you feel normal. Chest strap heart rate is optional but worth wearing: your peak on the last lap is a usable number for the max heart rate calculator.
How to run it
| Step | What to do |
|---|---|
| Warm up | 10 to 15 minutes easy jogging, then 3 or 4 strides of 20 seconds building to fast. Two minutes standing before the start. |
| Start | Start the clock at a line you can find again. Lane 1 on a track. |
| Pace | Settle within the first 200 metres into the hardest pace you believe you can hold for 12 minutes. Even, not fast then slow. |
| Middle | Minutes 4 to 9 are where it hurts and where the distance is won. Hold the pace. Count laps out loud if it helps. |
| Finish | With 90 seconds left, empty what remains. Stop at the alarm and mark the spot. |
| Measure | Full laps times 400 plus the partial lap, paced out or measured. Round to the nearest 10 metres and enter it. |
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Pacing is the skill. Even splits. Most first-timers go out at their 1,500 m pace, blow up by minute five, jog the second half, and post a number five points below what the same legs would produce a week later on an even split, which is the single most common reason a first Cooper result disappoints. If you know your recent 5 km time, your 12-minute pace is a touch faster than that. If you do not, run the first lap at "hard but able to speak in short phrases" and squeeze from there.
What invalidates the result
Wind above a light breeze, since the headwind on the back straight costs more than the tailwind gives back. Heat over about 25 degrees. A hilly loop, even a gentle one. Running with someone faster and getting dragged out too hard. A treadmill, unless you set 1 percent incline and accept that the number will run a little generous. Any of those and you should still finish the run, but log the distance as a training note rather than a test score.
Reading the number honestly
The Cooper equation is a straight line fitted to one group of US Air Force men in 1968, and it works because 12 minutes is long enough that pacing, not sprint speed, sets the distance, and because it has been re-validated enough times since to trust the trend it produces. Still, a few points of error. More if you paced it badly. More again in weather. Repeat it under the same conditions every 8 to 12 weeks and the trend will be reliable even where the absolute number is soft. One Tuesday is one point on a chart, not a verdict.
If running hard for 12 minutes is off the table today, the Rockport walk test estimates the same number from a fast mile walk, the Queens College step test does it from three minutes of stepping and one pulse count, and the Harvard step test scores recovery instead. For training paces built from a race result rather than a VO2 estimate, use the VDOT calculator. The VO2 max calculator is the short version of this page.
A coach's word before you lace up: this is 12 minutes at your limit. If you have a heart condition, get chest pain on exertion, have blood pressure nobody is managing, or have not run hard in years, get cleared by a doctor first and do the walk test while you wait.
How Movement Rebels fits
Run the test wearing a Garmin or an Apple Watch and the session lands in the coach's view like any other activity. The coach reads heart rate, HRV and resting heart rate from synced Garmin Connect and Apple Health data, sees your last 14 activities with pace and average heart rate, and reads the morning readiness check-in. It does not run the Cooper equation for you and it re-estimates nothing you did not sync. Type the result into the calculator, then put the number in "Notes for your coach" if you want it in the picture the coach plans from.
What the number means: VO2 max norms
Values in ml of oxygen per kg of body weight per minute. Find your age row and read across.
Men
| Age | Very poor | Poor | Below average | Average | Above average | Good | Excellent |
|---|---|---|---|---|---|---|---|
| 18-25 | under 30 | 30 to 36 | 37 to 41 | 42 to 46 | 47 to 51 | 52 to 60 | 61 and up |
| 26-35 | under 30 | 30 to 34 | 35 to 39 | 40 to 42 | 43 to 48 | 49 to 56 | 57 and up |
| 36-45 | under 26 | 26 to 30 | 31 to 34 | 35 to 38 | 39 to 42 | 43 to 51 | 52 and up |
| 46-55 | under 25 | 25 to 28 | 29 to 31 | 32 to 35 | 36 to 38 | 39 to 45 | 46 and up |
| 56-65 | under 22 | 22 to 25 | 26 to 29 | 30 to 31 | 32 to 35 | 36 to 41 | 42 and up |
| 65+ | under 20 | 20 to 21 | 22 to 25 | 26 to 28 | 29 to 32 | 33 to 37 | 38 and up |
Women
| Age | Very poor | Poor | Below average | Average | Above average | Good | Excellent |
|---|---|---|---|---|---|---|---|
| 18-25 | under 28 | 28 to 32 | 33 to 37 | 38 to 41 | 42 to 46 | 47 to 56 | 57 and up |
| 26-35 | under 26 | 26 to 30 | 31 to 34 | 35 to 38 | 39 to 44 | 45 to 52 | 53 and up |
| 36-45 | under 22 | 22 to 26 | 27 to 30 | 31 to 33 | 34 to 37 | 38 to 45 | 46 and up |
| 46-55 | under 20 | 20 to 24 | 25 to 27 | 28 to 30 | 31 to 33 | 34 to 40 | 41 and up |
| 56-65 | under 18 | 18 to 21 | 22 to 24 | 25 to 27 | 28 to 31 | 32 to 37 | 38 and up |
| 65+ | under 17 | 17 to 18 | 19 to 21 | 22 to 24 | 25 to 27 | 28 to 32 | 33 and up |
Norms from The Y's Way to Physical Fitness (Golding et al., 1986), as reproduced in the ACE Personal Trainer Manual. Field-test estimates carry a few points of error on top of that, so treat a band boundary as a soft line.
How to run each test
| Test | Protocol |
|---|---|
| Cooper 12-minute run | Flat track. Cover as much ground as you can in exactly 12 minutes at an even, hard effort. Record the metres. |
| Rockport 1-mile walk | Walk one mile as fast as you can without running. Record the time and take your heart rate the second you stop. |
| Queens College step | 16.25 inch (41.3 cm) step, 3 minutes. Men step 24 times a minute, women 22. Stand still, count your pulse for 15 seconds starting 5 seconds after you stop, multiply by 4. |
| Harvard step test | 20 inch (50.8 cm) step for men, 16 inch (40 cm) for women, 30 steps a minute for 5 minutes or until you cannot hold the rhythm. Sit down and count the beats for 30 seconds at 1 minute, 2 minutes and 3 minutes after you stop. |
| Heart rate ratio | Resting heart rate on waking, lying still. Max heart rate from a genuinely maximal session, not a formula. |
Questions
How does the Cooper test calculate VO2 max?
VO2 max = (distance in metres minus 504.9) divided by 44.73. A 2,600 m run gives (2600 - 504.9) / 44.73 = 46.8 ml/kg/min. The calculator does the arithmetic and adds the age and sex band.
What is a good Cooper test distance?
For a man of 30, about 2,600 m lands in the good band and 2,800 m is on the edge of excellent; for a woman of 30, 2,400 m is good and 2,700 m is excellent. The norms table on this page has every age row.
Can I do the Cooper test on a treadmill?
You can, at 1 percent incline to offset the missing air resistance, but the belt sets your pace for you and the number tends to come out a little high. Use it for your own trend, not for comparing to track results.
How often should I repeat the Cooper test?
Every 8 to 12 weeks, same track, same time of day, similar weather. More often than that and the noise in a single run is bigger than the change you are trying to see.
Is the Cooper test accurate?
Within a few points of a lab test on average, and further out for any one person on any one day, because pacing and conditions move the result more than the equation itself ever does. Trend, not reading.
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