Worksheet: Converting between Celsius and Fahrenheit

In this worksheet, we will practice converting between the temperature units Celsius and Fahrenheit.

Q1:

Use the expression 5 ( 𝐹 βˆ’ 3 2 ) 9 , where 𝐹 is the temperature in degrees Fahrenheit, to convert 1 6 7 ∘ F to degrees Celsius.

Q2:

The formula to convert from degrees Fahrenheit to degrees Celsius is given as 𝐹 = 1 . 8 𝐢 + 3 2 . Use the formula to convert 18 degrees Celsius to degrees Fahrenheit, giving your answer correct to one decimal place.

Q3:

The formula to convert from degrees Fahrenheit to degrees Celsius is given as 𝐹 = 1 . 8 𝐢 + 3 2 . Use the formula to convert 54 degrees Fahrenheit to degrees Celsius, giving your answer correct to one decimal place.

Q4:

The equation 𝐢 = βˆ’ 5 𝐹 + 1 6 0 βˆ’ 9 shows the relationship between the temperature 𝐹 in Fahrenheit and the temperature 𝐢 in Celsius. If, in Alaska, the temperature is βˆ’ 2 2 ∘ F , what is the temperature in degrees Celsius?

Q5:

Liam wants to compare the average temperatures in Los Angeles and London for January. He finds that the average temperature in Los Angeles is 5 9 ∘ F and in London 5 ∘ C . What is the difference in temperature in degrees Fahrenheit?

  • ALos Angeles is warmer by an average of 5 4 ∘ F .
  • BLos Angeles is colder by an average of 1 8 ∘ F .
  • CLos Angeles is colder by an average of 5 4 ∘ F .
  • DLos Angeles is warmer by an average of 1 8 ∘ F .
  • ELos Angeles is warmer by an average of 1 3 3 . 2 ∘ F .

Q6:

The given graph can be used to convert between Celsius and Fahrenheit. Use the graph to determine which is hotter, 4 5 ∘ F or 5 ∘ C .

Q7:

The formula for converting degrees Fahrenheit to degrees Celsius is 𝐢 = 5 ( 𝐹 βˆ’ 3 2 ) 9 .

Rearrange the formula to make 𝐹 the subject.

  • A 𝐹 = 9 𝐢 + 3 2 5
  • B 𝐹 = 9 𝐢 5 βˆ’ 3 2
  • C 𝐹 = 9 𝐢 βˆ’ 3 2 5
  • D 𝐹 = 9 𝐢 5 + 3 2
  • E 𝐹 = 9 ( 𝐢 + 3 2 ) 5

Convert 30 degrees Celsius to degrees Fahrenheit.

Q8:

To change a temperature given in degrees Celsius to degrees Fahrenheit, first multiply the Celsius temperature by 9, then divide the answer by 5, and then add 32 to the result. Given the shown table, determine the difference between the average monthly temperatures of January and June after converting them to degrees Fahrenheit.

Month January June July
Temp. ( ) ∘ C 7 22 26

Q9:

If the temperature of a room is 333.4 K, determine the room’s temperature in degrees Celsius.

Q10:

How many Kelvin is 211.8 degrees Celsius?

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