Math

Arithmetic Hard 5

⏱ 10:00

600%
• A jar contains only white and blue marbles of identical size and weight. The ratio of the number of white marbles to the number of blue marbles is 4 to b. If the probability of choosing a white marble from the jar at random is 1⁄4, then what is the value of b?
• Six buses are to carry 200 students on a field trip. If each bus must have no more than 40 students and no fewer than 30 students, then what is the greatest number of buses that can have 40 students?
• Twenty students in a chemistry class took a test on which the overall average score was 75. If the average score for 12 of those students was 83, what was the average score for the remaining members of the class?
• Each term in a sequence of numbers, except for the first term, is 2 less than the square root of the previous term. If the third term of this sequence is 1, what is the first term?
• When r is divided by 10, the remainder is 9. What is the remainder when r + 2 is divided by 5?
• The price of a certain stock was d dollars on January 1, 2003. The price decreased by 20% in January, increased by 40% in February, decreased by 25% in March, and increased by 25% in April. In terms of d, what was the price of the stock at the end of April?
• In a round robin tennis tournament involving seven players, each player will play every other player twice. How many total matches will be played in the tournament?
• If the sum of seven integers is even, at most how many of these integers could be odd?
• Nazia commutes to work one morning at an average speed of 40 mph. She returns home along the same route at an average speed of 24 mph. If she spends a total of 2 hours traveling to and from work that day, how many miles is her commute to work?
• One bag of potatoes of a certain brand weighs 40 ounces. Five pounds of these potatoes cost \$4.00. If Nafisul has exactly \$20.00 to spend on potatoes, what is the maximum number of bags he can buy? (1 pound = 16 ounces)
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