Fire - Cactus - Ice

Don't even worry about avoiding all the fire.  As long as you hurry, you should have time to let the fire go out without dying.  Just wait before the cactus until the fire is out.

Depending on how fast you got through the fire, you might need to wait & regen.  When your health has recovered enough, sprint jump onto the first cactus, and jump over the 2nd, landing next to the third.  Jump onto the side of the sand block holding the last cactus, and then onto the first ice block.

With the ice blocks just sprint jump to each 1 at a time until there are only 4 blocks left in front of you.  Then just take those last 4 in a long run without stopping.