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BMI worksheet

Grades 6–7 · CCSS 6.EE.A.2.c, 6.RP.A.3.d

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

  1. Problem 1.
    • Units: Metric (cm, kg)
    • Height: 180 cm
    • Weight: 76 kg

    Find: Body mass index

  2. Problem 2.
    • Units: Metric (cm, kg)
    • Height: 150 cm
    • Weight: 57 kg

    Find: Body mass index

  3. Problem 3.
    • Units: US (ft, in, lb)
    • Height (feet): 5 ft
    • Height (inches): 10 in
    • Weight: 160 lb

    Find: Body mass index

  4. Problem 4.
    • Units: US (ft, in, lb)
    • Height (feet): 6 ft
    • Height (inches): 8 in
    • Weight: 120 lb

    Find: Body mass index

  5. Problem 5.
    • Units: Metric (cm, kg)
    • Height: 110 cm
    • Weight: 90 kg

    Find: Body mass index

  6. Problem 6.
    • Units: US (ft, in, lb)
    • Height (feet): 6 ft
    • Height (inches): 8 in
    • Weight: 225 lb

    Find: Body mass index

  7. Problem 7.
    • Units: US (ft, in, lb)
    • Height (feet): 6 ft
    • Height (inches): 7 in
    • Weight: 160 lb

    Find: Body mass index

  8. Problem 8.
    • Units: US (ft, in, lb)
    • Height (feet): 6 ft
    • Height (inches): 9 in
    • Weight: 160 lb

    Find: Body mass index

  9. Problem 9.
    • Units: US (ft, in, lb)
    • Height (feet): 4 ft
    • Height (inches): 8 in
    • Weight: 200 lb

    Find: Body mass index

  10. Problem 10.
    • Units: Metric (cm, kg)
    • Height: 100 cm
    • Weight: 84 kg

    Find: Body mass index

Answer key: BMI worksheet

  1. 1. Body mass index: 23.5 kg/m²

    1. Change your height from centimeters to meters, because the BMI formula uses meters

      180 cm100=1.8 m
    2. Divide your weight by your height times itself. That is your BMI

      761.82=23.5
    3. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      23.5 → Healthy weight
    4. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      23.4625=0.94
    5. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×1.82=59.9 kg; 24.9×1.82=80.7 kg
  2. 2. Body mass index: 25.3 kg/m²

    1. Change your height from centimeters to meters, because the BMI formula uses meters

      150 cm100=1.5 m
    2. Divide your weight by your height times itself. That is your BMI

      571.52=25.3
    3. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      25.3 → Overweight
    4. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      25.3325=1.01
    5. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×1.52=41.6 kg; 24.9×1.52=56 kg
  3. 3. Body mass index: 23 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (5×12+10)×0.0254=1.778 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      160 lb×0.453592=72.575 kg
    3. Divide your weight by your height times itself. That is your BMI

      72.5751.7782=23
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      23 → Healthy weight
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      22.9625=0.92
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×1.7782=58.5 kg; 24.9×1.7782=78.7 kg
  4. 4. Body mass index: 13.2 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (6×12+8)×0.0254=2.032 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      120 lb×0.453592=54.431 kg
    3. Divide your weight by your height times itself. That is your BMI

      54.4312.0322=13.2
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      13.2 → Underweight
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      13.1825=0.53
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×2.0322=76.4 kg; 24.9×2.0322=102.8 kg
  5. 5. Body mass index: 74.4 kg/m²

    1. Change your height from centimeters to meters, because the BMI formula uses meters

      110 cm100=1.1 m
    2. Divide your weight by your height times itself. That is your BMI

      901.12=74.4
    3. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      74.4 → Obesity, class 3
    4. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      74.3825=2.98
    5. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×1.12=22.4 kg; 24.9×1.12=30.1 kg
  6. 6. Body mass index: 24.7 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (6×12+8)×0.0254=2.032 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      225 lb×0.453592=102.058 kg
    3. Divide your weight by your height times itself. That is your BMI

      102.0582.0322=24.7
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      24.7 → Healthy weight
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      24.7225=0.99
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×2.0322=76.4 kg; 24.9×2.0322=102.8 kg
  7. 7. Body mass index: 18 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (6×12+7)×0.0254=2.0066 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      160 lb×0.453592=72.575 kg
    3. Divide your weight by your height times itself. That is your BMI

      72.5752.00662=18
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      18 → Underweight
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      18.0225=0.72
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×2.00662=74.5 kg; 24.9×2.00662=100.3 kg
  8. 8. Body mass index: 17.1 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (6×12+9)×0.0254=2.0574 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      160 lb×0.453592=72.575 kg
    3. Divide your weight by your height times itself. That is your BMI

      72.5752.05742=17.1
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      17.1 → Underweight
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      17.1525=0.69
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×2.05742=78.3 kg; 24.9×2.05742=105.4 kg
  9. 9. Body mass index: 44.8 kg/m²

    1. Change your height to inches, then to meters, because the BMI formula uses meters (1 inch is exactly 0.0254 m)

      (4×12+8)×0.0254=1.4224 m
    2. Change your weight to kilograms (1 pound is exactly 0.45359237 kg)

      200 lb×0.453592=90.718 kg
    3. Divide your weight by your height times itself. That is your BMI

      90.7181.42242=44.8
    4. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      44.8 → Obesity, class 3
    5. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      44.8425=1.79
    6. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×1.42242=37.4 kg; 24.9×1.42242=50.4 kg
  10. 10. Body mass index: 84 kg/m²

    1. Change your height from centimeters to meters, because the BMI formula uses meters

      100 cm100=1 m
    2. Divide your weight by your height times itself. That is your BMI

      8412=84
    3. Round to one decimal place and see which adult category it falls in (they start at 18.5, 25, 30, 35 and 40)

      84 → Obesity, class 3
    4. Find BMI Prime by dividing by 25, the top of the healthy-weight range. A result of 1.00 sits right at that top

      8425=3.36
    5. Find the weights that give a BMI of 18.5 to 24.9 at your height: multiply each limit by your height times itself

      18.5×12=18.5 kg; 24.9×12=24.9 kg