The Sorcerer description has this to say:
A sorcerer casts arcane spells drawn primarily from the sorcerer/wizard spell list. She can cast any spell she knows without preparing it ahead of time. To learn or cast a spell, a sorcerer must have a Charisma score equal to at least 10 + the spell level.
She can cast any spell she knows at any time, assuming she has not yet used up her spells per day for that spell level.
As a Sorcerer, you get bonus spells based on Charisma. In my case, I rolled an 18 at the start, invested points at levels 4 and 8, got 2 point for being an Ifrit(racial bonus), and I'm wearing a Headband of Alluring Charisma (+4). This gives me a Charisma stat of 26.
The Table of bonus spells shows I get, among others, a Level 7 and a level 8 spell slot.
However, I recently obtained Craft Wondrous Item, which lets me make Page of Spell Knowledge.
Lets's say I craft a Page of Limited Wish, a Level 7 spell. Despite not knowing it, I can do that by taking a +5 on the DC, and taking 10 on the spellcraft Crafting check.
Would this allow me to cast Limited Wish? I have a spell slot of the appropriate level (higher, even), and I have the page to make the spell "known" to me.
While the answer is the same, this question is different from this one because that one is about metamagic, and this one is about Page of Spell Knowledge. There will be few if any search queries turning up both questions (and that one certainly didn't show up in the "similar questions" list when I asked this one).