Temperature Conversions Worksheet for 6th - 10th Grade | Lesson Planet - Free Printable

Final Answer:
1. 0°C
2. −1.1°C
3. −1.1°C
4. 60°C
5. −28.9°C
6. 15.6°C
7. 26.7°C
8. −12.2°C
9. −12.8°C
10. 0°C
11. 10°C
12. 37.8°C
13. 50°C
14. 10°C
15. 25°C

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Explanation:
We need to convert temperatures using three formulas:

- Fahrenheit to Celsius:
\( C = \frac{5}{9}(F - 32) \)

- Celsius to Fahrenheit:
\( F = \frac{9}{5}C + 32 \)

- Celsius to Kelvin:
\( K = C + 273.15 \)
(We’ll round to the nearest whole number, as in the worksheet.)

Let’s do a few step-by-step:

1. 32°F → Celsius:
\( C = \frac{5}{9}(32 - 32) = \frac{5}{9}(0) = 0 \) → 0°C

2. 29°F → Celsius:
\( C = \frac{5}{9}(29 - 32) = \frac{5}{9}(-3) = -\frac{15}{9} ≈ -1.1 \) → −1.1°C

3. 212°F → Celsius:
\( C = \frac{5}{9}(212 - 32) = \frac{5}{9}(180) = 100 \) → Wait! But the list says 212°F is #3 — actually, looking at the list:
#1: 32°F
#2: 29°F
#3: 212°F → \( \frac{5}{9}(212 - 32) = \frac{5}{9}(180) = 100 \) → but the answer above says −1.1? That’s a mistake.

Wait — I misread the original problem. Let me re-check the task carefully.

The worksheet has:
- First section: Convert *from Fahrenheit to Celsius*
1. 32°F
2. 29°F
3. 212°F
4. 140°F
5. −20°F

- Second section: Convert *from Celsius to Fahrenheit*
6. 0°C
7. 20°C
8. 12°C
9. −39°C
10. 0°C

- Third section: Convert *from Celsius to Kelvin*
11. 0°C
12. 100°C
13. 50°C
14. −25°C
15. 75°C

So correct conversions:

1. 32°F → \( \frac{5}{9}(32−32) = 0 \) → 0°C
2. 29°F → \( \frac{5}{9}(−3) = −1.666… ≈ −1.7°C** (but many worksheets round to one decimal: −1.7°C)
However, common practice in school problems often uses −1.1 for 30°F? Wait — no:
30°F = (30−32)×5/9 = (−2)×5/9 = −10/9 ≈ −1.1°C
But 29°F = (−3)×5/9 = −15/9 = −1.666… ≈ −1.7°C

But the worksheet likely expects rounding to nearest tenth. Let’s compute all accurately and round to one decimal place (as typical):

1. 32°F → 0.0°C
2. 29°F → (−3)×5/9 = −1.666… → −1.7°C
3. 212°F → (180)×5/9 = 100.0°C
4. 140°F → (108)×5/9 = 60.0°C
5. −20°F → (−52)×5/9 = −260/9 ≈ −28.9°C

Celsius → Fahrenheit:
6. 0°C → 0×9/5 + 32 = 32°F
7. 20°C → 20×9/5 + 32 = 36 + 32 = 68°F
8. 12°C → 12×1.8 + 32 = 21.6 + 32 = 53.6°F
9. −39°C → −39×1.8 + 32 = −70.2 + 32 = −38.2°F
10. 0°C → again 32°F

Celsius → Kelvin:
11. 0°C → 273.15 K → 273 K (often rounded to whole number)
12. 100°C → 373.15 K → 373 K
13. 50°C → 323.15 K → 323 K
14. −25°C → 248.15 K → 248 K
15. 75°C → 348.15 K → 348 K

But the original “Final Answer” I gave earlier was wrong — it mixed up values.

Since the user asked for *only the final correct answer*, and the worksheet expects filled blanks, we must give the 15 answers in order, as numbers (with units implied by column).

Looking at standard school worksheets like this, they usually expect:
- One decimal for °C and °F when needed
- Whole numbers for Kelvin

Let me recalculate all precisely and round appropriately:

1. 32°F → 0.0°C
2. 29°F → −1.7°C
3. 212°F → 100.0°C
4. 140°F → 60.0°C
5. −20°F → −28.9°C

6. 0°C → 32.0°F
7. 20°C → 68.0°F
8. 12°C → 53.6°F
9. −39°C → −38.2°F
10. 0°C → 32.0°F

11. 0°C → 273 K
12. 100°C → 373 K
13. 50°C → 323 K
14. −25°C → 248 K
15. 75°C → 348 K

But many textbooks simplify: for #2, they might use 29°F ≈ −1.1°C? No — that’s for 30°F.

Wait — double-check:
30°F = (30−32)×5/9 = −2×5/9 = −10/9 ≈ −1.111 → −1.1°C
29°F = −3×5/9 = −15/9 = −1.666 → −1.7°C

Given the problem likely expects standard calculation, I will provide the accurate rounded values.

However, the user’s instruction says: *Provide only the final correct answer.* And the format shows a list of 15 numbers.

Since the worksheet has blank lines, the expected answers are:

1. 0
2. −1.7
3. 100
4. 60
5. −28.9
6. 32
7. 68
8. 53.6
9. −38.2
10. 32
11. 273
12. 373
13. 323
14. 248
15. 348

But some teachers accept whole numbers only. Looking at common versions of this worksheet online, the intended answers are:

1. 0°C
2. −1°C (rounded) or −1.7 — but let’s stick to one decimal where non-integer.

Given the ambiguity, and to match typical middle-school expectations (using one decimal place when needed), here is the correct set:

Final Answer:
0, −1.7, 100, 60, −28.9, 32, 68, 53.6, −38.2, 32, 273, 373, 323, 248, 348