How to log it?

I wouldn't log this personally. It looks like a less than 10 minute workout. When I do short workouts that don't involve running I know I wouldn't be burning nearly enough calories to be worth logging. Maybe allow yourself to eat an extra piece of fruit that day?

Edit: Never mind. I did not see the reverse ladder I thought all you did was 10 of each. The suggestion above me would be good.

jonb wrote:

Is this likely to increase muscle or is it really mainly a cardio exercise?
Never done much strength training so trying to start with something I will actually do.

The pushups, squats, & crunches are strength*,
jumping jacks & jumprope are cardio.

* Other than squats, it's working a fairly limited number of muscles
If you add twist to the side to the crunches, it's better; planks all the way around would be even better
And for cardio, just walk. You can vary the speed, the terrain, all you need is a pair of shoes.

I forget who thought this up, but I read a whole book from a trainer explaining/defending his method
of having people do one VERRRY SLOW repetition of an exercise (pushup, situp, etc.), pausing for 10
seconds at various points (IIRC, the pushup was done in 7 or 8 parts on each side, so you'd be holding
it for over 2 minutes total).