One Wasn't Square
Mrs Morgan, the class teacher, pinned numbers onto the backs of three children: Mona, Bob and Jamie.
"Now," she said, "Those three numbers add to a special kind of number. What is it?"
Michael put his hand up.
"It's a square number," he answered.
"Correct," smiled Mrs Morgan.
"Oh!" exclaimed Mona, "The two numbers I can see also add to a square!"
"And me!" called out Bob, "The two numbers I can see add to a square too!"
"Oh dear," said Jamie disappointedly, "the two numbers I can see don't add to a square! It's either 5 too little or 6 too big!"
What numbers did the three children have on their backs?
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