Math

Arithmetic Hard 4

⏱ 10:00

600%
• In a class of 160 seniors, the ratio of boys to girls is 3 to 5. In the junior class, the ratio of boys to girls is 3 to 2. When the two classes are combined, the ratio of boys to girls is 1 to 1. How many students are in the junior class?
• In a certain soccer league, each of the five teams plays every other team in the league exactly three times each season. How many games are played in total in one season?
• Pump A, working alone, can fill a tank in 3 hours, and pump B can fill the same tank in 2 hours. If the tank is empty to start and pump A is switched on for one hour, after which pump B is also switched on and the two work together, how many minutes will pump B have been working by the time the pool is filled?
• 1, 2, 6, 7, 9 A three-digit integer is to be formed from the digits listed above. If the first digit must be odd, either the second or the third digit must be 2, and no digit may be repeated, how many such integers are possible?
• If one pound of grain can feed five chickens or two pigs, then ten pounds of grain can feed 20 chickens and how many pigs?
• A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the next student. Each student was to repeat this process until every student in the class had exactly one piece of rope. Which of the following could be the fraction of the original rope that one of the students had?
• The average (arithmetic mean) of four different positive integers is 20. What is the greatest possible value of any of these integers?
• Theo wants to buy a sweater that is priced at \$60.00 before tax. The store charges a 6% sales tax on all purchases. If he gives the cashier \$70.00 for the sweater, how much should he receive in change?
• The first day of a particular month is a Tuesday. What day of the week will it be on the 31st day of the month?
• If y% of 50 is 32, then what is 200% of y?
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