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Waist-to-Height Ratio worksheet

Grade 6 · CCSS 6.RP.A.1

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

1.
Problem 1.
- Units: Metric (cm)
- Height: 180 cm
- Waist circumference: 85 cm
Find: Waist-to-height ratio
Answer
2.
Problem 2.
- Units: Metric (cm)
- Height: 145 cm
- Waist circumference: 65 cm
Find: Waist-to-height ratio
Answer
3.
Problem 3.
- Units: US (ft, in)
- Height (feet): 5 ft
- Height (inches): 8 in
- Waist circumference: 32 in
Find: Waist-to-height ratio
Answer
4.
Problem 4.
- Units: US (ft, in)
- Height (feet): 6 ft
- Height (inches): 6 in
- Waist circumference: 24 in
Find: Waist-to-height ratio
Answer
5.
Problem 5.
- Units: Metric (cm)
- Height: 110 cm
- Waist circumference: 100 cm
Find: Waist-to-height ratio
Answer
6.
Problem 6.
- Units: US (ft, in)
- Height (feet): 6 ft
- Height (inches): 10 in
- Waist circumference: 26 in
Find: Waist-to-height ratio
Answer
7.
Problem 7.
- Units: Metric (cm)
- Height: 210 cm
- Waist circumference: 90 cm
Find: Waist-to-height ratio
Answer
8.
Problem 8.
- Units: US (ft, in)
- Height (feet): 4 ft
- Height (inches): 8 in
- Waist circumference: 38 in
Find: Waist-to-height ratio
Answer
9.
Problem 9.
- Units: US (ft, in)
- Height (feet): 5 ft
- Height (inches): 6 in
- Waist circumference: 28 in
Find: Waist-to-height ratio
Answer
10.
Problem 10.
- Units: US (ft, in)
- Height (feet): 5 ft
- Height (inches): 9 in
- Waist circumference: 18 in
Find: Waist-to-height ratio
Answer

Answer key: Waist-to-Height Ratio worksheet

1. Waist-to-height ratio: 0.47
1. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{85 cm}{180 cm}$ $= 0.4722$
2. Round to two decimals and compare with the 0.5 guideline
  $0.47 < 0.5$ $= Below the 0.5 guideline$
3. Find the waist size that would give exactly 0.5: half your height
  $(180 cm) \times 0.5$ $= 90 cm$
2. Waist-to-height ratio: 0.45
1. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{65 cm}{145 cm}$ $= 0.4483$
2. Round to two decimals and compare with the 0.5 guideline
  $0.45 < 0.5$ $= Below the 0.5 guideline$
3. Find the waist size that would give exactly 0.5: half your height
  $(145 cm) \times 0.5$ $= 72.5 cm$
3. Waist-to-height ratio: 0.47
1. Convert height to inches so it matches the waist measurement
  $5 \times 12 + 8$ $= 68 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{32 in}{68 in}$ $= 0.4706$
3. Round to two decimals and compare with the 0.5 guideline
  $0.47 < 0.5$ $= Below the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(68 in) \times 0.5$ $= 34 in$
4. Waist-to-height ratio: 0.31
1. Convert height to inches so it matches the waist measurement
  $6 \times 12 + 6$ $= 78 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{24 in}{78 in}$ $= 0.3077$
3. Round to two decimals and compare with the 0.5 guideline
  $0.31 < 0.5$ $= Below the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(78 in) \times 0.5$ $= 39 in$
5. Waist-to-height ratio: 0.91
1. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{100 cm}{110 cm}$ $= 0.9091$
2. Round to two decimals and compare with the 0.5 guideline
  $0.91 ≥ 0.5$ $= At or above the 0.5 guideline$
3. Find the waist size that would give exactly 0.5: half your height
  $(110 cm) \times 0.5$ $= 55 cm$
6. Waist-to-height ratio: 0.32
1. Convert height to inches so it matches the waist measurement
  $6 \times 12 + 10$ $= 82 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{26 in}{82 in}$ $= 0.3171$
3. Round to two decimals and compare with the 0.5 guideline
  $0.32 < 0.5$ $= Below the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(82 in) \times 0.5$ $= 41 in$
7. Waist-to-height ratio: 0.43
1. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{90 cm}{210 cm}$ $= 0.4286$
2. Round to two decimals and compare with the 0.5 guideline
  $0.43 < 0.5$ $= Below the 0.5 guideline$
3. Find the waist size that would give exactly 0.5: half your height
  $(210 cm) \times 0.5$ $= 105 cm$
8. Waist-to-height ratio: 0.68
1. Convert height to inches so it matches the waist measurement
  $4 \times 12 + 8$ $= 56 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{38 in}{56 in}$ $= 0.6786$
3. Round to two decimals and compare with the 0.5 guideline
  $0.68 ≥ 0.5$ $= At or above the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(56 in) \times 0.5$ $= 28 in$
9. Waist-to-height ratio: 0.42
1. Convert height to inches so it matches the waist measurement
  $5 \times 12 + 6$ $= 66 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{28 in}{66 in}$ $= 0.4242$
3. Round to two decimals and compare with the 0.5 guideline
  $0.42 < 0.5$ $= Below the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(66 in) \times 0.5$ $= 33 in$
10. Waist-to-height ratio: 0.26
1. Convert height to inches so it matches the waist measurement
  $5 \times 12 + 9$ $= 69 in$
2. Divide your waist by your height. Both are in the same unit, so the answer is a plain number
  $\frac{18 in}{69 in}$ $= 0.2609$
3. Round to two decimals and compare with the 0.5 guideline
  $0.26 < 0.5$ $= Below the 0.5 guideline$
4. Find the waist size that would give exactly 0.5: half your height
  $(69 in) \times 0.5$ $= 34.5 in$