Preheat the oven to 190°C (375°F).
Peel parsnips and carrots. Cut them into sticks about 5 cm long and 0.5 cm thick.
Peel and quarter the onions.
Peel the garlic cloves and chop them.
In an ovenproof dish, place the carrots, parsnips, onions and garlic. Pour a good drizzle of olive oil, add the spices, salt and pepper. Mix. Bake for 20 min.
Meanwhile cut the sweet potatoes and potatoes in half (no need to peel them). Then cut them into quarters of about the same size.
Add them to the vegetables that have already been cooked. Mix and return to the oven for 40 min.
Prepare the cherry tomatoes by cutting them in half. When the vegetables are well roasted, add the tomatoes. Mix and cook for another 10 min.