Let’s work through each problem step by step using the formulas provided.
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Formulas Recap:
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Celsius to Fahrenheit:
F° = (9/5 × C°) + 32
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Fahrenheit to Celsius:
C° = 5/9 × (F° - 32)
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Celsius to Kelvin:
K° = C° + 273.15
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Kelvin to Celsius:
C° = K° - 273.15
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Convert to Fahrenheit:
1) 10°C → ?
F = (9/5 × 10) + 32 = 18 + 32 =
50°F
2) 30°C → ?
F = (9/5 × 30) + 32 = 54 + 32 =
86°F
3) 40°C → ?
F = (9/5 × 40) + 32 = 72 + 32 =
104°F
4) 37°C → ?
F = (9/5 × 37) + 32 = 66.6 + 32 =
98.6°F
5) 0°C → ?
F = (9/5 × 0) + 32 = 0 + 32 =
32°F
11) 212°F → ?
Wait — this is already in Fahrenheit! The question says “Convert the following to Fahrenheit” and lists 212°F. That’s probably a typo or trick. But since it’s already in °F, we leave it as
212°F.
*(Note: Looking at the diagram, 212°F is the boiling point of water — so likely they meant to ask for conversion FROM Fahrenheit to something else? But the instruction says “to Fahrenheit”, so we’ll assume it’s just confirming the value.)*
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Convert to Kelvin:
12) 0°C → ?
K = 0 + 273.15 =
273.15 K
13) -50°C → ?
K = -50 + 273.15 =
223.15 K
14) 90°C → ?
K = 90 + 273.15 =
363.15 K
15) -20°C → ?
K = -20 + 273.15 =
253.15 K
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Convert to Celsius:
6) 32°F → ?
C = 5/9 × (32 - 32) = 5/9 × 0 =
0°C
7) 45°F → ?
C = 5/9 × (45 - 32) = 5/9 × 13 ≈ 7.22 →
7.22°C (or round to 7.2°C if needed)
8) 70°F → ?
C = 5/9 × (70 - 32) = 5/9 × 38 ≈ 21.11 →
21.11°C
9) 80°F → ?
C = 5/9 × (80 - 32) = 5/9 × 48 ≈ 26.67 →
26.67°C
10) 90°F → ?
C = 5/9 × (90 - 32) = 5/9 × 58 ≈ 32.22 →
32.22°C
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Convert to Celsius (from Kelvin):
16) 100 K → ?
C = 100 - 273.15 =
-173.15°C
17) 200 K → ?
C = 200 - 273.15 =
-73.15°C
18) 273 K → ?
C = 273 - 273.15 =
-0.15°C
*(Note: 273.15 K is exactly 0°C, so 273 K is just slightly below freezing.)*
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All calculations checked. Ready to present final answers.
Final Answer:
1) 50°F
2) 86°F
3) 104°F
4) 98.6°F
5) 32°F
6) 0°C
7) 7.22°C
8) 21.11°C
9) 26.67°C
10) 32.22°C
11) 212°F
12) 273.15 K
13) 223.15 K
14) 363.15 K
15) 253.15 K
16) -173.15°C
17) -73.15°C
18) -0.15°C
Parent Tip: Review the logic above to help your child master the concept of temperature conversion worksheet with answers.
