Just+good+Problems

When I was going to St Ives I met a man with seven wives. Each wife had seven sacks and each sack had seven cats. How many legs were there in the group of people and cats that I encountered on my trip to St. Ives? Assume that no one in the group is missing any limbs.

Most of us know the story of Cinderella. Cinderella has an evil step-mother who treats her like a servant. When the prince invites all of the eligible young women to the castle for a ball (and to look for a bride) Cinderella’s step-mother doesn’t let her go. Fortunately for Cinderella, she has a fairy godmother who swoops in and, with the wave of her wand, turns Cinderella’s rags into a ball gown and sends her off to meet the prince. At this point Cinderella’s evil step-sisters are already there and standing in line to greet the prince. How long, in minutes, did the first step-sister wait to meet the prince if, when the line formed, of the line was in front of her, each greeting takes 20 seconds and there was a total 150 young women in line? Express your answer as a decimal to the nearest tenth.

When Cinderella’s fairy godmother sent her off to the ball to meet the prince, she had one stipulation: Cinderella had to leave by the stroke of midnight. By the time Cinderella got to the castle, moved through the crowd and met the prince, it was 10:30pm when she finally had her first dance with the prince. If each song lasted 3.5 minutes and they danced the rest of the evening, except for a 20-minute walk they took outside, how many songs did they dance to between 10:30pm and midnight?

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When the students in Harry Potter’s Spells class at Hogwarts started the year, they knew an average of 10 spells each. Hermione knew the most, 19, and Ron knew the least, 7. If Harry knew 12 spells, what was the average number of spells that each of Hermione, Ron and Harry’s 21 classmates knew at the start of the year? Express your answer as a decimal to the nearest hundredth. the time Cinderella got to the castle, moved through the crowd and met the prince, it was 10:30pm when she finally had her first dance with the prince. if each song lasted 3.5 minutes and they danced the rest of the evening