The nine pupils, their principal, one of the pupil's mothers and their team manager and guide left New Zealand on April 24 and touched down in Kathmandu, Nepal, two days later.
On Monday, they had an acclimatisation and rest day at Namche Bazaar.
There, they visited the Sagarmatha National Park headquarters and Sherpa Museum.
''The day started like a picture postcard,'' principal Mason Stretch said.
''It was here that we were awed by our first view of Mount Everest.''
Yesterday, they began their ascent to Phortse where they plan to spend time at the school.
As part of their fundraising for the trip, they raised an extra $2000 for the school and each of the pupils will be teaching the 35 Nepalese pupils something about New Zealand or Cromwell.
As for the trip so far, the food seems to have been a highlight.
''The food is a big hit with us all.''
Typical meals have included porridge and french toast for breakfast and dhal for main meals.
''The students are coping exceptionally well with all the challenges and new experiences and parents have every right be immensely proud of them. I am,'' Mr Stretch said.
The next stage of their expedition is a climb into the Gokyo Valley before crossing the Cho La Pass, 5420m above sea level, the highest point in their trek. That will take them into the main valley, the Khumba, and on to Mt Everest base camp which they plan to reach on May 8.