Prince William and Kate Middleton brave the cold during Essex visit - all the photos

The Duke and Duchess of Cambridge braved the sudden winter chill as they attended an engagement at the Royal Foundation's Coach Core programme in Essex, on Tuesday. They met with new apprentices to learn about the Basildon-based scheme, which has been running for nearly three years. The pair, who are huge fans of sports themselves, took part in coaching sessions, in a bid to highlight the importance of engaging the local community to get involved in sport.

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Kate, 36, was dressed perfectly in a smart casual look, which consisted of a smart checked blazer and a pair of black skinny jeans, finished off with her trusty Aquatalia 'Fallon' Chelsea boots. She accessorised with a pair of Kiki classic white topaz and diamond cushion drop earrings. With her brunette tresses worn loose in glossy waves, Kate stuck to her trademark beauty look of lightly smokey eyes and natural-toned lips. Meanwhile, Prince William also cut a casual figure by wearing a pale blue jumper and navy chinos.

The Duchess has gradually been taking on more engagements since the birth of her third child. Kate, who gave birth to Prince Louis in April, returned from maternity leave earlier this month. Last spring, the palace confirmed that Kate will continue to support her patronages and charities, but her priority would be to look after her three young children: Prince George, five, Princess Charlotte, three, and six-month-old baby Louis.

The royal couple appeared to be delighted as they happily waved at well-wishers, who gathered to catch a glimpse of them.

William, 36, stopped to speak with young royal fan, who waited outside Basildon Sporting Centre.

A delighted Kate spent time chatting with members of the public.

An avid tennis fan, the Duchess showed off her sporty skills as she played with some children inside.

The mum-of-three seen hugging a graduate from the Coach Core Essex apprenticeship scheme.

Kate burst into laughter as she played boccia with a participant.

William, 36, paused to speak with a young group during the active visit.

The Duchess of Cambridge looked pleased to be handed a bouquet of flowers.

The royals appeared to be in great spirits as they left the venue.