The Duchess of Cambridge has spoken about teaching her children the value of showing affection, declaring “hugs are very important”.

William and Kate, a mother-of-three who has recently returned from maternity leave, were embraced by a fan during a visit to Basildon Sporting Village to highlight the ability of sport to change lives.

The duchess had arrived ready for action wearing a checked jacket, black top, matching skinny jeans and Cuban-heeled boots for the event celebrating their Royal Foundation’s Coach Core project.

Janet Emery could not resist hugging Kate when she met the royal during the visit, and the duchess could be heard telling her admirer: “Thank you very much, hugs are very important, I keep saying that to my children.”

The duchess is mum to Prince George and Princess Charlotte and gave birth to Prince Louis in April. She also has a keen interest in the early-years development of children.

Ms Emery, 58, who also hugged the duke, is a client of Sport for Confidence, a partner organisation of Coach Core which provides sporting activities for people with learning difficulties, mental health problems and physical disabilities to boost their life skills.

Royal visit
The Duke of Cambridge during a visit to Coach Core Essex in Basildon (Adrian Dennis/PA)

During the visit, the duchess showed off her tennis skills, while the duke tried his hand at javelin practice when they met young trainee coaches who have enrolled in the Coach Core project which uses sport to empower those not in education or employment.

Through training, the initiative aims to create the next generation of sports coaches who will themselves go on to inspire their communities.

Kate, a keen tennis fan, joined a session introducing primary school children to the game, supervised by Coach Core trainee Joe Turner and a colleague.

Duke and Duchess of Cambridge
Kate shows off her tennis skills (Adrian Dennis/PA)

She joined a game of three against three and the players took it in turns to hit a large foam ball over the net.

The duchess, who is patron of the All England Lawn Tennis and Croquet Club and a regular at the Wimbledon tennis championship, tried to rally her team but they lost.

Mr Turner praised Kate’s ability with a tennis racket and her coaching skills, saying: “She was very good, she was encouraging her team throughout and was showing them how to hit the ball – she’s trying to take our jobs.”

While Kate played tennis, William joined a group of youngsters learning the basics of javelin throwing using a large foam dart.

Duke and Duchess of Cambridge
The Duke and Duchess of Cambridge play Boccia during a visit to Coach Core Essex in Basildon (Adrian Dennis/PA)

Later, the couple saw Sport for Confidence staff putting groups through their paces as their clients played Boccia, a game similar to bowls.

The duke and duchess were in opposing teams and joined in the banter with their fellow players as the match progressed – with William even getting a round of applause when he hit the target ball.

William and Kate are famed for their sporting rivalry but honours were even as the match ended one game apiece.