Queens Step Test Calculator & VO2max Formula

The Queens College Step Test calculator estimates your VO2max (maximal oxygen uptake, in ml/kg/min) from a 3-minute step test on a 16.25-inch (41.3 cm) bench, using your post-exercise heart rate, sex, age, and body weight. You enter your heart rate (beats per minute) measured within 5 seconds of finishing, your sex, age, and weight; the calculator returns your estimated VO2max and a fitness rating relative to your age and sex. This is a submaximal test, so it is safer than a maximal treadmill test for most people, but it is still an estimate, not a lab-grade measurement.

Formula

The Queens College Step Test uses two separate linear regression equations, one for men and one for women, both published by McArdle et al. in 1972. The equations predict VO2max from the recovery heart rate (HR) in beats per minute, age in years, and sex.

For men: VO2max = 111.33 − (0.42 × HR) − (0.17 × age) + 1.7

For women: VO2max = 111.33 − (0.42 × HR) − (0.17 × age)

Where:

• VO2max is in milliliters of oxygen per kilogram of body weight per minute (ml/kg/min).
• HR is the heart rate in beats per minute, counted from 5 to 20 seconds after the test ends.
• age is in years.
• The +1.7 term applies only to men.

Body weight is not part of the equation itself, but it is needed to express VO2max relative to body mass. The calculator includes weight only for context; the formula already yields a relative value.

Worked Example

Using the default values: a 30-year-old man, weight 70 kg, recovery heart rate 150 bpm.

1. Start with the constant: 111.33
2. Subtract 0.42 × HR: 0.42 × 150 = 63.0 → 111.33 − 63.0 = 48.33
3. Subtract 0.17 × age: 0.17 × 30 = 5.1 → 48.33 − 5.1 = 43.23
4. Add 1.7 for a man: 43.23 + 1.7 = 44.93

The calculator rounds to one decimal: 44.9 ml/kg/min. For a 30-year-old man, that falls in the “good� fitness category on most published norms.

How the Test Is Performed

The Queens College Step Test is a 3-minute protocol. You need a sturdy step or bench exactly 16.25 inches (41.3 cm) high, a metronome, and a stopwatch.

• Set the metronome to 96 beats per minute for women or 88 beats per minute for men. Each beat is one step up or down.
• Step up with one foot, then the other, then step down with one foot, then the other. This is one full cycle (up-up-down-down).
• Women step at 24 cycles per minute (96 beats ÷ 4 steps per cycle); men step at 22 cycles per minute (88 ÷ 4).
• Continue for exactly 3 minutes. Stop immediately and sit down.
• Within 5 seconds of stopping, find your pulse (radial or carotid) and count beats for 15 seconds. Multiply by 4 to get bpm.

Use that 15-second count in the calculator. Do not wait longer than 20 seconds after stopping, because heart rate drops quickly, and the equation was validated on the 5–20 second recovery count.

Reading Your Result

The VO2max number is a relative measure: milliliters of oxygen consumed per kilogram of body weight per minute. Higher is generally better. Typical values range from about 25 ml/kg/min in sedentary older adults to over 60 in young endurance athletes.

Published norms (from ACSM and similar sources) for VO2max by age and sex:

• Men 20–29: poor < 33, average 40–46, excellent > 52
• Men 30–39: poor < 31, average 38–44, excellent > 49
• Women 20–29: poor < 29, average 36–42, excellent > 48
• Women 30–39: poor < 27, average 34–40, excellent > 45

These are rough guides. The Queens test tends to overestimate VO2max in very fit individuals and underestimate in the very unfit, because it relies on a linear heart-rate response that flattens at high intensities.

Common Mistakes and Limitations

The most frequent error is using the wrong step height. The bench must be 16.25 inches (41.3 cm). A shorter step (like a home stair) reduces workload and gives a falsely high VO2max; a taller step gives a falsely low one.

Another common mistake is counting the pulse too late. If you wait 30 seconds after stopping, your heart rate may drop 10–20 bpm, which raises the predicted VO2max by 4–8 ml/kg/min. That is a large error.

Other limitations:

• The test assumes you are not taking heart-rate-altering medications (beta blockers, etc.).
• It is not valid for people with known cardiovascular disease without medical supervision.
• It assumes a normal resting heart rate and normal blood pressure response.
• It is less accurate for elite athletes and for people over 65.

The standard error of estimate is roughly ±3.5 ml/kg/min, meaning your true VO2max could be about 3.5 units higher or lower than the prediction.

Safety and Precautions

Do not perform this test if you have chest pain, dizziness, severe shortness of breath, or a fever. If you have heart disease, high blood pressure, or are over 45 (men) or 55 (women) and sedentary, get medical clearance first. Stop immediately if you feel faint, nauseous, or experience chest discomfort.

Warm up for 3–5 minutes with light walking before the test. Wear comfortable shoes and ensure the step is stable and non-slip. Have water nearby. After the test, keep walking slowly for a few minutes rather than sitting completely still, to prevent blood pooling.

This is a submaximal test, but it still raises your heart rate to about 70–85% of maximum. It is not a substitute for a medically supervised exercise test if you have risk factors.

Alternatives to the Queens Test

Other submaximal tests estimate VO2max with different protocols:

• Rockport Walk Test: walk 1 mile (1.6 km) as fast as possible, then use time, heart rate, age, and weight. Lower intensity, good for older or less fit adults.
• YMCA Cycle Test: 3–4 stages on a stationary bike at increasing resistance. More equipment but more accurate.
• Astrand-Ryhming Cycle Test: a single 6-minute submaximal bike ride using a nomogram.
• Cooper 12-minute Run: maximal effort, not submaximal, but simple and widely used.
• 1.5-mile Run Test: maximal, predicts VO2max from run time.

Each has its own formula and norms. The Queens test is one of the quickest and requires only a step and a metronome, but the Rockport walk is safer for beginners.

Frequently Asked Questions

Why does the calculator ask for weight if the formula does not use it?
The Queens equation already produces a relative VO2max (per kg). Weight is included so the calculator can show you the absolute oxygen consumption (L/min) if you want it, and to remind you that your VO2max is relative to your body mass. Losing weight without changing fitness will raise your relative VO2max.

Can I use a lower step if I do not have a 16.25-inch bench?
No. The equation was derived specifically for that height. Using a different height changes the workload and invalidates the prediction. If you only have a 12-inch step, use a different test (like the Rockport walk) instead.

What is a good VO2max for my age?
For a 40-year-old man, average is about 36–42 ml/kg/min; for a 40-year-old woman, about 32–38. Above 50 for men and 45 for women is excellent. Below 30 for men and 25 for women is considered poor and associated with higher health risk.

How often should I do this test?
Once every 4–6 weeks is enough to track changes. Doing it more often does not give additional useful information because day-to-day heart rate varies with sleep, stress, and caffeine. Always test under similar conditions (same time of day, no caffeine 2 hours prior, rested).

Does the test work if I take beta blockers?
No. Beta blockers lower heart rate, so the formula would overestimate your VO2max. The same applies to other heart-rate-lowering medications. If you take them, use a test based on workload (like the YMCA cycle test) instead.

Why is my result different from a lab VO2max test?
Submaximal tests predict VO2max from heart rate, but heart rate is affected by temperature, hydration, fatigue, and genetics. A lab test measures expired gases directly during maximal exercise, which is the gold standard. The Queens test can be off by ±3.5 ml/kg/min, so treat it as a trend, not a precise number.

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in hr | Heart rate after test | bpm | 150 | 0
in sex | Sex | Male=1, Female=0 | 1 | 0
in age | Age | years | 30 | 18
in weight | Body weight | kg | 70 | 30
out vo2 | Estimated VO2max | ml/kg/min | (111.33 - (0.42 * hr)) + (sex * 1.7) - (0.17 * age) | 1
out rating | Fitness rating | - | (111.33 - (0.42 * hr)) + (sex * 1.7) - (0.17 * age) | 0