These stats are particularly interesting in terms of the claims made about screening.
"Since the early 1990s, cervical cancer incidence rates in females have decreased by almost a quarter (23%) in the UK.
Over the last decade, cervical cancer incidence rates in females have increased by less than a tenth (4%) in the UK."
The screening programme was introduced in 1988. If we assume about 70% of women are screened regularly and that the decrease is only in screened women. (that's an assumption that's not necessarily warranted, but bear with me, this is just rough maths).
The actual percentage decrease in screen women is 23/70 x100. About 33%. Nothing like the 75% decrease in incidence Jo's trust are claiming.
However there are other factors that could cause a decline in incidence. For example smoking is a risk factor. So is having children (the more children the greater the risk), having a weakened immune system and taking the pill for more than five years. The incidence of all these risk factors could have changed at a general population level since the early 90's.