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VO2 Max worksheet

Grades 6–7 · CCSS 6.EE.A.2.c

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- Estimation method: Heart-rate ratio (Uth)
- Maximum heart rate: 180 bpm
- Resting heart rate: 62 bpm
Find: Estimated VO2 max
Answer
2.
Problem 2.
- Estimation method: 1.5-mile run time
- 1.5-mile time: minutes: 10 min
- 1.5-mile time: seconds: 0 s
Find: Estimated VO2 max
Answer
3.
Problem 3.
- Estimation method: Cooper 12-minute run
- Distance covered in 12 minutes: 1,800 meters
Find: Estimated VO2 max
Answer
4.
Problem 4.
- Estimation method: 1.5-mile run time
- 1.5-mile time: minutes: 8 min
- 1.5-mile time: seconds: 0 s
Find: Estimated VO2 max
Answer
5.
Problem 5.
- Estimation method: Heart-rate ratio (Uth)
- Maximum heart rate: 180 bpm
- Resting heart rate: 60 bpm
Find: Estimated VO2 max
Answer
6.
Problem 6.
- Estimation method: Heart-rate ratio (Uth)
- Maximum heart rate: 225 bpm
- Resting heart rate: 48 bpm
Find: Estimated VO2 max
Answer
7.
Problem 7.
- Estimation method: Cooper 12-minute run
- Distance covered in 12 minutes: 2,400 meters
Find: Estimated VO2 max
Answer
8.
Problem 8.
- Estimation method: Cooper 12-minute run
- Distance covered in 12 minutes: 2,500 meters
Find: Estimated VO2 max
Answer
9.
Problem 9.
- Estimation method: 1.5-mile run time
- 1.5-mile time: minutes: 12 min
- 1.5-mile time: seconds: 0 s
Find: Estimated VO2 max
Answer
10.
Problem 10.
- Estimation method: 1.5-mile run time
- 1.5-mile time: minutes: 16 min
- 1.5-mile time: seconds: 0 s
Find: Estimated VO2 max
Answer

Answer key: VO2 Max worksheet

1. Estimated VO2 max: 44.4 mL/kg/min
1. Divide your maximum heart rate by your resting heart rate
  $\frac{180}{62}$ $= 2.9032$
2. Use the Uth formula: multiply that ratio by 15.3 to estimate VO2 max
  $15.3 \times 2.9032$ $= 44.42 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{44.42}{3.5}$ $= 12.69 MET$
2. Estimated VO2 max: 51.8 mL/kg/min
1. Convert the run time to minutes, so seconds become part of a minute
  $10 + \frac{0}{60}$ $= 10 min$
2. Use the 1.5-mile formula: divide 483 by your time in minutes, then add 3.5
  $\frac{483}{10} + 3.5$ $= 51.8 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{51.8}{3.5}$ $= 14.8 MET$
3. Estimated VO2 max: 29 mL/kg/min
1. Use the Cooper formula: subtract 504.9 from the distance in meters, then divide by 44.73
  $\frac{1,800 - 504.9}{44.73}$
2. Put in your distance and divide to get VO2 max
  $\frac{1,295.1}{44.73}$ $= 28.95 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{28.95}{3.5}$ $= 8.27 MET$
4. Estimated VO2 max: 63.9 mL/kg/min
1. Convert the run time to minutes, so seconds become part of a minute
  $8 + \frac{0}{60}$ $= 8 min$
2. Use the 1.5-mile formula: divide 483 by your time in minutes, then add 3.5
  $\frac{483}{8} + 3.5$ $= 63.88 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{63.88}{3.5}$ $= 18.25 MET$
5. Estimated VO2 max: 45.9 mL/kg/min
1. Divide your maximum heart rate by your resting heart rate
  $\frac{180}{60}$ $= 3$
2. Use the Uth formula: multiply that ratio by 15.3 to estimate VO2 max
  $15.3 \times 3$ $= 45.9 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{45.9}{3.5}$ $= 13.11 MET$
6. Estimated VO2 max: 71.7 mL/kg/min
1. Divide your maximum heart rate by your resting heart rate
  $\frac{225}{48}$ $= 4.6875$
2. Use the Uth formula: multiply that ratio by 15.3 to estimate VO2 max
  $15.3 \times 4.6875$ $= 71.72 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{71.72}{3.5}$ $= 20.49 MET$
7. Estimated VO2 max: 42.4 mL/kg/min
1. Use the Cooper formula: subtract 504.9 from the distance in meters, then divide by 44.73
  $\frac{2,400 - 504.9}{44.73}$
2. Put in your distance and divide to get VO2 max
  $\frac{1,895.1}{44.73}$ $= 42.37 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{42.37}{3.5}$ $= 12.11 MET$
8. Estimated VO2 max: 44.6 mL/kg/min
1. Use the Cooper formula: subtract 504.9 from the distance in meters, then divide by 44.73
  $\frac{2,500 - 504.9}{44.73}$
2. Put in your distance and divide to get VO2 max
  $\frac{1,995.1}{44.73}$ $= 44.6 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{44.6}{3.5}$ $= 12.74 MET$
9. Estimated VO2 max: 43.8 mL/kg/min
1. Convert the run time to minutes, so seconds become part of a minute
  $12 + \frac{0}{60}$ $= 12 min$
2. Use the 1.5-mile formula: divide 483 by your time in minutes, then add 3.5
  $\frac{483}{12} + 3.5$ $= 43.75 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{43.75}{3.5}$ $= 12.5 MET$
10. Estimated VO2 max: 33.7 mL/kg/min
1. Convert the run time to minutes, so seconds become part of a minute
  $16 + \frac{0}{60}$ $= 16 min$
2. Use the 1.5-mile formula: divide 483 by your time in minutes, then add 3.5
  $\frac{483}{16} + 3.5$ $= 33.69 mL/kg/min$
3. Divide by 3.5 to show it in METs, multiples of your energy use at rest (1 MET = 3.5 mL/kg/min)
  $\frac{33.69}{3.5}$ $= 9.63 MET$