The sum of the first n odd positive integers is 64. What is the value of n?

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If an isosceles triangle has base angles that are each twice the measure of the smaller angle, what is the degree measure of one of the base angles?

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Tim’s math homework is on five consecutive pages in the math textbook, and the sum of those page numbers is 630. What is the page number of the next page after these five homework pages?

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The intersection of a circular region of radius 3 cm and a circular region of radius 2 cm has area π. What is the area of the total region covered by the two circular regions? (how many π)

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What is the ratio of the number of degrees in the interior angle of a regular pentagon to the number of degrees in the interior angle of a regular hexagon? Express your answer as a common fraction.

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A restaurant automatically adds an 18% tip to the bill. If the tip was $9, what was the bill before the tip was added, in dollars?

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The integer 12,345 can be expressed as the sum of two prime numbers in exactly one way. What is the larger of the two primes in this sum?

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The number 18 can be written as the sum of nine consecutive integers. What is the product of these integers?

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When expressed as a common fraction, what is the value of

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What is the probability that a randomly selected two-digit positive integer will be a multiple of 11? Express your answer as a common fraction.

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What is the greatest prime factor of the difference 64² − 61^2 ?

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What is the greatest possible value of 

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What is the number of square meters in the area of a square if the length of a diagonal is 14 meters?

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If a² − b² = 10 and a − b = 2, what is the value of a + b?

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When the positive integer x is divided by each of 4, 5 and 6, it has a remainder of 3. What is the sum of the three smallest possible values of x?

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What is the value of the quotient $\frac{\left(1-\frac{1}{2}\right)\left(1-\frac{2}{3}\right)\left(1-\frac{3}{4}\right)...\left(1-\frac{99}{100}\right)}{\frac{1}{101!}}$  

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Andre is 3 years older than Brian. Ten years ago the sum of their ages was 59. In years, how old is Andre now?

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Together three puppies and three adult dogs weigh 60 pounds. Two adult dogs and four puppies have a combined weight of 50 pounds. If each of the puppies has the same weight and each of the adult dogs has the same weight, how many pounds does one puppy weigh?

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How many distinct factors of 25! are prime numbers?

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