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Heat the oven to 200C/180C fan/gas 6. Toss the tomatoes, oil, chilli flakes and garlic together in a medium baking dish. Roast for 15 mins, then nestle the block of feta into the middle of the dish. Season everything well and bake for a further 20-25 mins, or until the feta is turning golden and the tomatoes have softened and turned jammy.
Cook the pasta following pack instructions, then drain, reserving a mugful of the cooking water. Remove and discard the garlic cloves from the baked feta, then break up the cheese using a fork. Tip the pasta into the dish along with a splash of the reserved cooking water, and gently toss to combine with the cheese and tomatoes – the pasta should be well-coated in a creamy, cheesy sauce. Add another splash of the cooking water to loosen, if needed. Season well with black pepper, then scatter over the basil to serve.