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Problem of the Week #12: December 3-14th 2007

Grade 6: Coins – Coins
Jill counted her money and knows she has $5.60. When she looked closer she discovered that she had only quarters, dimes and nickels and she had exactly the same number of each coin. How many of each coin did Jill have?

Grade 7: When a certain two digit whole number is increased by the sum of its digits then the total equals 73. What is the whole number that satisfies this condition?

Grade 8: Fishy Fishermen
Bob and Joe are two octopus fishermen. The season for octopus lasts only 10 days.
Bob caught 100 octopi every day of the season. Joe only caught 1 octopus the first day of the season, but every day after that he caught twice as many as the day before. Who caught more octopi and how many did they catch?

Grade 9: Bicycle Racers

Anna was entered in a bicycle race on a closed circuit track. After several hours of pedaling, she realized that the sum of one-fifth of the racers in front of her, and five-sixth of the racers behind her, total to make the number of racers in the race. If there are fewer than 50 bicycles on the track, how many cyclists are in the race?

Grade 10: Going the Distance

Brad does a lot of walking. He takes eight steps every five seconds, and each step is 40 cm long. If Brad continues at this rate, how long in minutes and seconds will it take him to go one kilometre?