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Fuel Tank Range worksheet

Grade 6 · CCSS 6.RP.A.3.b, 6.RP.A.3.d

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

1.
Problem 1.
- Fuel left, from: Amount in the tank
- Fuel left in the tank: 4.8 US gallons
- Fuel economy: 30 mpg (US)
- Safety margin (optional): 9%
- Show distance in: Miles
Find: Estimated range
Answer
2.
Problem 2.
- Fuel left, from: Fuel gauge
- Tank size: 11 US gallons
- Gauge reading: 16% of a full tank
- Fuel economy: 30 mpg (US)
- Safety margin (optional): 12%
- Show distance in: Miles
Find: Estimated range
Answer
3.
Problem 3.
- Fuel left, from: Amount in the tank
- Fuel left in the tank: 4 US gallons
- Fuel economy: 22 mpg (US)
- Safety margin (optional): 10%
- Show distance in: Miles
Find: Estimated range
Answer
4.
Problem 4.
- Fuel left, from: Fuel gauge
- Tank size: 15 US gallons
- Gauge reading: 24% of a full tank
- Fuel economy: 40 mpg (US)
- Safety margin (optional): 12%
- Show distance in: Miles
Find: Estimated range
Answer
5.
Problem 5.
- Fuel left, from: Amount in the tank
- Fuel left in the tank: 4.5 US gallons
- Fuel economy: 31 mpg (US)
- Safety margin (optional): 10%
- Show distance in: Miles
Find: Estimated range
Answer
6.
Problem 6.
- Fuel left, from: Fuel gauge
- Tank size: 15 US gallons
- Gauge reading: 29% of a full tank
- Fuel economy: 28 mpg (US)
- Safety margin (optional): 10%
- Show distance in: Miles
Find: Estimated range
Answer
7.
Problem 7.
- Fuel left, from: Fuel gauge
- Tank size: 15 US gallons
- Gauge reading: 22% of a full tank
- Fuel economy: 36 mpg (US)
- Safety margin (optional): 6%
- Show distance in: Miles
Find: Estimated range
Answer
8.
Problem 8.
- Fuel left, from: Fuel gauge
- Tank size: 13 US gallons
- Gauge reading: 28% of a full tank
- Fuel economy: 24 mpg (US)
- Safety margin (optional): 12%
- Show distance in: Kilometers
Find: Estimated range
Answer
9.
Problem 9.
- Fuel left, from: Amount in the tank
- Fuel left in the tank: 2.8 US gallons
- Fuel economy: 35 mpg (US)
- Safety margin (optional): 6%
- Show distance in: Kilometers
Find: Estimated range
Answer
10.
Problem 10.
- Fuel left, from: Fuel gauge
- Tank size: 13 US gallons
- Gauge reading: 26% of a full tank
- Fuel economy: 28 mpg (US)
- Safety margin (optional): 8%
- Show distance in: Miles
Find: Estimated range
Answer

Answer key: Fuel Tank Range worksheet

1. Estimated range: 144 mi
1. Range: fuel left times the distance per US gal
  $4.8 \times 30$ $= 144 mi$
2. Hold back 9% of the range as a safety margin
  $144 mi \times (1 - 9%)$ $= 131.04 mi$
2. Estimated range: 52.8 mi
1. Fuel left: tank size times the gauge reading
  $11 US gal \times 16%$ $= 1.76 US gal$
2. Range: fuel left times the distance per US gal
  $1.76 \times 30$ $= 52.8 mi$
3. Hold back 12% of the range as a safety margin
  $52.8 mi \times (1 - 12%)$ $= 46.464 mi$
3. Estimated range: 88 mi
1. Range: fuel left times the distance per US gal
  $4 \times 22$ $= 88 mi$
2. Hold back 10% of the range as a safety margin
  $88 mi \times (1 - 10%)$ $= 79.2 mi$
4. Estimated range: 144 mi
1. Fuel left: tank size times the gauge reading
  $15 US gal \times 24%$ $= 3.6 US gal$
2. Range: fuel left times the distance per US gal
  $3.6 \times 40$ $= 144 mi$
3. Hold back 12% of the range as a safety margin
  $144 mi \times (1 - 12%)$ $= 126.72 mi$
5. Estimated range: 139.5 mi
1. Range: fuel left times the distance per US gal
  $4.5 \times 31$ $= 139.5 mi$
2. Hold back 10% of the range as a safety margin
  $139.5 mi \times (1 - 10%)$ $= 125.55 mi$
6. Estimated range: 121.8 mi
1. Fuel left: tank size times the gauge reading
  $15 US gal \times 29%$ $= 4.35 US gal$
2. Range: fuel left times the distance per US gal
  $4.35 \times 28$ $= 121.8 mi$
3. Hold back 10% of the range as a safety margin
  $121.8 mi \times (1 - 10%)$ $= 109.62 mi$
7. Estimated range: 118.8 mi
1. Fuel left: tank size times the gauge reading
  $15 US gal \times 22%$ $= 3.3 US gal$
2. Range: fuel left times the distance per US gal
  $3.3 \times 36$ $= 118.8 mi$
3. Hold back 6% of the range as a safety margin
  $118.8 mi \times (1 - 6%)$ $= 111.672 mi$
8. Estimated range: 140.6 km
1. Fuel left: tank size times the gauge reading
  $13 US gal \times 28%$ $= 3.64 US gal$
2. Range: fuel left times the distance per US gal
  $3.64 \times 24$ $= 87.36 mi$
3. Convert miles to kilometers (1 mi = 1.609344 km)
  $87.36 mi \times 1.609344$ $= 140.5923 km$
4. Hold back 12% of the range as a safety margin
  $140.5923 km \times (1 - 12%)$ $= 123.7212 km$
9. Estimated range: 157.7 km
1. Range: fuel left times the distance per US gal
  $2.8 \times 35$ $= 98 mi$
2. Convert miles to kilometers (1 mi = 1.609344 km)
  $98 mi \times 1.609344$ $= 157.7157 km$
3. Hold back 6% of the range as a safety margin
  $157.7157 km \times (1 - 6%)$ $= 148.2528 km$
10. Estimated range: 94.6 mi
1. Fuel left: tank size times the gauge reading
  $13 US gal \times 26%$ $= 3.38 US gal$
2. Range: fuel left times the distance per US gal
  $3.38 \times 28$ $= 94.64 mi$
3. Hold back 8% of the range as a safety margin
  $94.64 mi \times (1 - 8%)$ $= 87.0688 mi$