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Steps to Distance worksheet

Grades 5–6 · CCSS 5.MD.A.1, 6.RP.A.3.d

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

1.
Problem 1.
- Convert: Distance to steps
- Distance unit: Miles
- Distance (in the unit above): 6
- Step length: I know my step length
- Step length: 36 inches
Find: Steps
Answer
2.
Problem 2.
- Convert: Steps to distance
- Distance unit: Miles
- Steps: 8,000
- Step length: Estimate from height
- Height units: US (ft, in, lb)
- Sex: Male
- Height (feet): 3 ft
- Height (inches): 8 in
Find: Distance
Answer
3.
Problem 3.
- Convert: Distance to steps
- Distance unit: Kilometers
- Distance (in the unit above): 5
- Step length: I know my step length
- Step length: 33 inches
Find: Steps
Answer
4.
Problem 4.
- Convert: Steps to distance
- Distance unit: Miles
- Steps: 8,200
- Step length: Estimate from height
- Height units: US (ft, in, lb)
- Sex: Female
- Height (feet): 5 ft
- Height (inches): 7 in
Find: Distance
Answer
5.
Problem 5.
- Convert: Distance to steps
- Distance unit: Kilometers
- Distance (in the unit above): 7
- Step length: I know my step length
- Step length: 26 inches
Find: Steps
Answer
6.
Problem 6.
- Convert: Distance to steps
- Distance unit: Kilometers
- Distance (in the unit above): 6
- Step length: I know my step length
- Step length: 28 inches
Find: Steps
Answer
7.
Problem 7.
- Convert: Steps to distance
- Distance unit: Miles
- Steps: 9,000
- Step length: I know my step length
- Step length: 26 inches
Find: Distance
Answer
8.
Problem 8.
- Convert: Distance to steps
- Distance unit: Miles
- Distance (in the unit above): 3
- Step length: Estimate from height
- Height units: Metric (cm, kg)
- Sex: Female
- Height: 180 cm
Find: Steps
Answer
9.
Problem 9.
- Convert: Distance to steps
- Distance unit: Kilometers
- Distance (in the unit above): 8
- Step length: Estimate from height
- Height units: Metric (cm, kg)
- Sex: Male
- Height: 155 cm
Find: Steps
Answer
10.
Problem 10.
- Convert: Distance to steps
- Distance unit: Kilometers
- Distance (in the unit above): 6
- Step length: Estimate from height
- Height units: US (ft, in, lb)
- Sex: Female
- Height (feet): 4 ft
- Height (inches): 9 in
Find: Steps
Answer

Answer key: Steps to Distance worksheet

1. Steps: 10,560 steps
1. Convert step length to centimeters (1 in = 2.54 cm exactly)
  $36 in \times 2.54$ $= 91.44 cm$
2. Divide one mile (160,934.4 cm) by your step length to see how many of your steps fit in it
  $\frac{160,934.4 cm}{91.44 cm}$ $= 1,760$
3. Multiply the distance by your steps per unit to get the number of steps
  $6 mi \times 1,760$ $= 10,560 steps$
2. Distance: 2.31 mi
1. Convert height to centimeters (1 in = 2.54 cm exactly)
  $44 in \times 2.54$ $= 111.76 cm$
2. Estimate step length as 0.415 × height, a common rule of thumb for men
  $0.415 \times 111.76 cm$ $= 46.38 cm$
3. Divide one mile (160,934.4 cm) by your step length to see how many of your steps fit in it
  $\frac{160,934.4 cm}{46.38 cm}$ $= 3,469.9$
4. Multiply your steps by your step length, then divide by the length of one unit to get the distance
  $\frac{8,000 \times 46.38 cm}{160,934.4}$ $= 2.306 mi$
3. Steps: 5,965 steps
1. Convert step length to centimeters (1 in = 2.54 cm exactly)
  $33 in \times 2.54$ $= 83.82 cm$
2. Divide one kilometer (100,000 cm) by your step length to see how many of your steps fit in it
  $\frac{100,000 cm}{83.82 cm}$ $= 1,193$
3. Multiply the distance by your steps per unit to get the number of steps
  $5 km \times 1,193.0327$ $= 5,965 steps$
4. Distance: 3.58 mi
1. Convert height to centimeters (1 in = 2.54 cm exactly)
  $67 in \times 2.54$ $= 170.18 cm$
2. Estimate step length as 0.413 × height, a common rule of thumb for women
  $0.413 \times 170.18 cm$ $= 70.28 cm$
3. Divide one mile (160,934.4 cm) by your step length to see how many of your steps fit in it
  $\frac{160,934.4 cm}{70.28 cm}$ $= 2,289.8$
4. Multiply your steps by your step length, then divide by the length of one unit to get the distance
  $\frac{8,200 \times 70.28 cm}{160,934.4}$ $= 3.581 mi$
5. Steps: 10,600 steps
1. Convert step length to centimeters (1 in = 2.54 cm exactly)
  $26 in \times 2.54$ $= 66.04 cm$
2. Divide one kilometer (100,000 cm) by your step length to see how many of your steps fit in it
  $\frac{100,000 cm}{66.04 cm}$ $= 1,514.2$
3. Multiply the distance by your steps per unit to get the number of steps
  $7 km \times 1,514.2338$ $= 10,600 steps$
6. Steps: 8,436 steps
1. Convert step length to centimeters (1 in = 2.54 cm exactly)
  $28 in \times 2.54$ $= 71.12 cm$
2. Divide one kilometer (100,000 cm) by your step length to see how many of your steps fit in it
  $\frac{100,000 cm}{71.12 cm}$ $= 1,406.1$
3. Multiply the distance by your steps per unit to get the number of steps
  $6 km \times 1,406.0742$ $= 8,436 steps$
7. Distance: 3.69 mi
1. Convert step length to centimeters (1 in = 2.54 cm exactly)
  $26 in \times 2.54$ $= 66.04 cm$
2. Divide one mile (160,934.4 cm) by your step length to see how many of your steps fit in it
  $\frac{160,934.4 cm}{66.04 cm}$ $= 2,436.9$
3. Multiply your steps by your step length, then divide by the length of one unit to get the distance
  $\frac{9,000 \times 66.04 cm}{160,934.4}$ $= 3.693 mi$
8. Steps: 6,495 steps
1. Estimate step length as 0.413 × height, a common rule of thumb for women
  $0.413 \times 180 cm$ $= 74.34 cm$
2. Divide one mile (160,934.4 cm) by your step length to see how many of your steps fit in it
  $\frac{160,934.4 cm}{74.34 cm}$ $= 2,164.8$
3. Multiply the distance by your steps per unit to get the number of steps
  $3 mi \times 2,164.8426$ $= 6,495 steps$
9. Steps: 12,437 steps
1. Estimate step length as 0.415 × height, a common rule of thumb for men
  $0.415 \times 155 cm$ $= 64.33 cm$
2. Divide one kilometer (100,000 cm) by your step length to see how many of your steps fit in it
  $\frac{100,000 cm}{64.33 cm}$ $= 1,554.6$
3. Multiply the distance by your steps per unit to get the number of steps
  $8 km \times 1,554.6055$ $= 12,437 steps$
10. Steps: 10,034 steps
1. Convert height to centimeters (1 in = 2.54 cm exactly)
  $57 in \times 2.54$ $= 144.78 cm$
2. Estimate step length as 0.413 × height, a common rule of thumb for women
  $0.413 \times 144.78 cm$ $= 59.79 cm$
3. Divide one kilometer (100,000 cm) by your step length to see how many of your steps fit in it
  $\frac{100,000 cm}{59.79 cm}$ $= 1,672.4$
4. Multiply the distance by your steps per unit to get the number of steps
  $6 km \times 1,672.4047$ $= 10,034 steps$