"My tiny dancer," Kim captioned the first picture, which showed little North cuddling a teddy bear as she stands in a black leotard and tutu.
Two hours later she shared another picture of North sat with her hands stretched out at the family's grand piano, alongside the caption "Morning piano session".
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"My tiny dancer" Kim captioned the photo of North West
In a later snap the budding ballerina is joined by her teddy bear at the piano, with her hair pulled back into a tiny bun. "My princess ballerina baby," wrote Kim.
The pictures proved a hit with fans and each attracted over one million likes on Instagram, with fans commenting about how cute the toddler is.
North West shared another photo of her daughter playing the piano
After Kim shared the pictures, her sister Kourtney Kardashian posted one of them to her own Instagram account and declared herself a "genius", as she had predicted that Kim's daughter would wear a black tutu in series eight of Keeping Up With The Kardashians.
"What kind of child will I have? A very tutu-y like, princess?" asked Kim, ahead of her daughter's arrival.
"I think so, but I think, like, a black tutu with like a gold chain," replied Kourtney.
Kim called her daughter "my princess ballerina baby"
It appears that North and Kourtney's two-year-old daughter Penelope may have dance lessons together – on Tuesday the mother-of-three posted a picture titled "tap time" on her own Instagram, featuring two pairs of tiny black tap shoes.
Kim is smitten with her daughter and has previously described North as her "best friend". The 34-year-old has also been outspoken about her desire to have another child with her husband Kanye West, and said that she wants it to "start happening straight away".