Kate Middleton helps teen with cancer fulfill 'bucket list' dream after finishing own chemotherapy treatment

Kate Middleton helped a cancer patient check an item off her "photography bucket list."

On Oct. 2, Prince William hosted an investiture ceremony at Windsor Castle and invited Liz, a 16-year-old aspiring photographer who is battling cancer, to capture the moments on film. 

On the official Instagram page for the Prince and Princess of Wales, the royals shared photos Liz took of the event.

"Congratulations to everyone who received honours at Windsor today! It was a pleasure to have @lizhatton_photography helping us to capture these special moments," the caption said.

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"it was my absolute pleasure to meet everyone and take photos today at Windsor, it was a great honour and was essentially a dream come true, so I truly hope to be a part of any and all future events! xx" Liz commented on the Prince and Princess of Wales' post.

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A second post was shared of Middleton hugging Liz at Windsor Castle Wednesday.

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"A pleasure to meet with Liz at Windsor today. A talented young photographer whose creativity and strength has inspired us both. Thank you for sharing your photos and story with us," the caption said.

In January, Liz was diagnosed with a desmoplastic small round cell tumor, which is a rare and aggressive form of cancer, according to the BBC. The outlet reported that the 16-year-old was given between six months and three years to live.

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In May, Liz's mother Vicky took to X, formerly Twitter, to share her daughter's "photograph bucket list."

"Liz is 16 and lives to take photographs. She has a rare and aggressive cancer which doctors have told her means she has between 6 months and 3 years to live. We hope every day for a lifetime for her but if we can’t achieve that we hope to create her a lifetime of memories," the post, with nearly 1 million views, said. 

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"If we can make even one of her photography bucket list happen for her she will be beyond delighted."

Middleton helped Liz complete a "bucket list" item just shy of a month after Middleton shared a video announcing she had completed chemotherapy treatment.

In March, Middleton disclosed her own cancer diagnosis and shared that she was undergoing preventative chemotherapy. In a video shared last month, the royal revealed she was cancer-free after completing her treatment. 

The mother of three acknowledged it had been an "incredibly tough" year for her family but said her cancer battle had reminded her to "be grateful for the simple yet important things in life" such as "loving and being loved."

MIT entrance exam from 1869 goes viral, shocks social media users: 'Pretty easy'

A section of a Massachusetts Institute of Technology (MIT) entrance exam from 1869 recently went viral, and many of the questions astonished social media users. 

A portion of the exam was posted on r/Damnthatsinteresting, a subreddit with 17 million members. The image, which garnered over 37,000 upvotes and 1,800 comments, stirred a discussion about how college admissions standards have changed over the past 155 years.

The algebra portion of the exam consisted of basic questions, which users found surprising, considering MIT is one of the most prestigious universities in the world today.

One of the questions says, "Solve 7x – 5y = 24, 4x – 3y = 11," which is considered a beginner algebra question in U.S. high schools today. Other questions ask prospective students to simplify two-variable expressions, also considered basic algebra.

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Many of the commentators were not impressed by the exam's questions.

"Good to know that I could have joined MIT in 1870," one Reddit user said.

"HOLY MOLY I could get into MIT back in 1869," another wrote.

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While some users found the questions surprisingly easy, others admitted they probably wouldn't have passed the exam — then or now.

"I can’t do this in 2024," one person said.

"Today I learned I’m dumb in 1869-1870 times," a different user lamented.

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Other readers noted that getting accepted to the university probably wasn't as easy as it appeared.

"This section is titled algebra," one Redditor said. "The sections titled analytical trigonometry and differential equations probably paint a different picture."

"Might be a bit easy for today's senior high schoolers, but what I like to note is that the exam is, trivially, designed to be solved with almost no calculations, as obviously calculators were not to be a thing for another century," another chimed in.

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Despite making its rounds on the Internet recently, the exam has been public for many years. In 2009, the MIT website shared an image of the test and explained the school's early history.

"Sure, MIT's acceptance rate is hovering around a record 10% right now, but back in the late 19th century, it was a different story," the post explained. "The first class of students who registered in 1865 weren't required to take formal entrance exams.

"They just needed to be ‘properly prepared’ … Fast forward a few years when, in 1869, the MIT Corporation finally decided to add qualifying exams in required subject areas, including English, Geometry, Algebra, and Arithmetic."

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Fox News Digital reached out to MIT for additional comment.