I think it’s one of
- the temperature of your oven is off.
- you might be over-leavening the cake.
- the sugar you are using isn’t the same size and so gives a different consistency.
- you aren’t beating the egg enough, due to only adding one.
It’s always tricky to adjust for ingredients you don’t have. And cutting this by 4 does change the timing of the mixing process.
Are you sure the cake is done when you remove it from the oven? An underdone cake isn’t strong enough to hold itself up, and will fall. If your oven is too hot, it might brown before the center is done. If your oven is too cool, it might just be undercooked at the recipe’s time.
If the baking powder were old, it wouldn’t rise at all, you wouldn’t see if fall in the center, which is what you describe. I’ve replaced old baking powder because stuff wasn’t rising enough, but I’ve never had something fall from old baking powder. In fact, it’s more likely to fall from too much leavening, if the cake rises too high and then collapses.
I always wrestle with recipes that call for caster sugar, because it’s not exactly like any of the common sugars in the US. But yeah, “ultra fine” is the closest. It’s probably okay. I might see what happens if you use regular granulated sugar. My guess is a slightly coarser, but acceptable texture.
I don’t think it’s the size of the pans. I’ve changed the size of cake pans. In particular, I have two smaller (5" and 7") circular pans which together have close to the same area as a standard 9" pan. (25+49 = 74 ~ 81) and I’ve made one standard recipe (intended for two layers of 9" pans) in the three pans a few times to make a mini-wedding cake, and it’s always worked fine. You are more likely to have the cake fall from a pan that’s larger than what recipe called for (say, if you double the recipe) because the center may not be fully cooked when you take it out of the oven. Cupcakes rarely fall, and you make them with the same batter you use for a regular cake.
I will comment that that’s an odd recipe. I’ve baked a lot of cakes, and I’ve never added the butter LAST. Is the butter really soft when you add it? is it properly mixed through? Oh – and UK egg sizes aren’t the same as US sizes. Google tells me that in the UK, a large egg weighs 63-73 grams, whereas a large egg in the US is 57 grams, and an extra-large egg 64 grams and a jumbo egg is 71 grams. Also, most US cake recipes call for some milk or water, which gelatinizes the flour some and helps develop the texture. This is an oddball recipe, being basically a pound cake (a pound each of butter, flour, sugar, and eggs) scaled down to 225g of each ingredient, with added leavening. Only… oddly, 4 US large eggs would be about 225 grams, and this recipe calls for a bit more.
So, adapted from the cake Bible (Rose Levy Beranbaum) and some pound cake recipes I found on-line, Here’s a recipe for the sponge using all American ingredients that should be similar to that one:
225g granulated sugar or extra-fine sugar, plus extra for sprinkling
225g unsalted butter, softened, plus extra for greasing
4 extra large eggs
225g cake flour
1 Tbsp (3 teaspoons) baking powder
1/2 teaspoon salt
Mix the flour, baking powder, and salt in a medium bowl until well distributed.
In a large bowl, sugar, and butter and mix well, for about 2 minutes.
Add the eggs, one and a time, and mix for about 30 seconds after each addition, scraping down the sides each time.
Then turn the mixer to slow, and gradually add the flour.
Cook as per Mary Berry’s recipe, at 350F, or 320F in a convection oven, for about 25 minutes. (But start peeking at 15 or 20 minutes, in case it cooks faster, since you are cutting the recipe)
(Note that Beranbaum would have you use a little milk or water to gelatenize the flour, and would add the ingredients in yet a different order. But maybe that’s more of a change from the recipe than you want.)
Hmmm, let’s try that at 1/4
55g granulated sugar or extra-fine sugar, plus extra for sprinkling
55g unsalted butter, softened, plus extra for greasing
1 extra large eggs
55g cake flour
3/4 teaspoon baking powder
pinch of salt (or use salted butter, and don’t add any salt)
Mix the flour, baking powder, and salt in a medium bowl until well distributed.
Break the egg into a small bowl or large cup, and stir it to mix it around gently.
In a large mixing bowl, add the sugar and butter and mix well, for about 2 minutes.
Add half the egg, and mix for about 45 seconds, Scrape down the sides, then add the rest of the egg and mix for another minute or or a bit more. You need to beat the batter for a bit after adding the egg to develop the structure – the egg protein is doing the bulk of the work of holding the structure and containing the gas released by the baking powder.
Then turn the mixer to slow, and gradually add the flour mixture.
etc.
Good luck.