A woman in the UK who asked for a cake to be decorated with singer Mariah Carey's picture for her birthday got scientist Marie Curie instead.

The hilarious baking blunder confused the All I Want For Christmas Is You hitmaker with the Nobel Prize-winning Polish physicist who died in 1934.

But the unexpected image of the solemn-looking Curie on the cake didn't seem to dampen the birthday girl's spirits.

"My cousin in England told her colleagues she wanted a Mariah Carey birthday cake. They misunderstood, and is the cake they made her instead," tweeted Harriet Aida Lye. "It's Marie Curie, looking very festive."

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"Happy Birthday Siobhan" is written in plain block letters on the brown cake and seven pink-frosted cupcakes sit on the same plate.

Lye's tweet was shared more than 46,000 times and liked more than 209,000 times since Friday, even prompting a response from the pop star herself.

"This could've been me if only I hadn't failed remedial math," Mariah Carey tweeted. "Happy birthday Siobhan!"

Lye later posted a tweet with an image of her cousin's reaction to receiving the cake, tweeting: "Siobhan's reaction to seeing the Marie Curie cake. She's a volunteer secretary for this local charity."