HMC 2002 Math Quiz

What is the time 34 hours after 2 o'clock?

How many times larger is the first 8 than the second in 86482?

If a + b = 26 and a - b = 12, then find the value of a * b.

In any calendar year, what would be the maximum number of Saturdays that fall on the 9th day of the month?

How many positive 5-digit integers have the result of 2000 when their digits are multiplied?

What fraction of the day is 180 minutes?

If there are 3 more red marbles than green marbles, 2 more red marbles than blue marbles, and 4 more yellow marbles than blue marbles in the bag, how many blue marbles are there?

A piece of wood measuring 8 cm by 18 cm is cut into two pieces and rearranged to form a square. What is the area of the resulting square?

If each of three uncles owns a different number of goats, and multiplying the three numbers together gives the product 108, what is the total number of goats?

Joe initially had a number of red, blue, and green jellybeans. After Amanda and Cassandra took some, only 54 jellybeans remained. How many jellybeans were there originally?

In a situation where five girls sit on chairs and stools such that certain pairs sit on the same type of seat, while others sit on different types, who sits on the chairs?

If a sequence follows the pattern 2, 7, 13, 20, 28, ..., what is the next number in the sequence?

If 294 digits are used to number the pages of a book, how many pages does the book have?

What arithmetic operation can be placed between 2 and 3 to make a number greater than 2 but less than 3?

If p and q are numbers and pq = 3, what is the value of pq/2?

How many buses are required to transport 329 students if each bus holds a maximum of 47 students?

What is the angle between the hour and minute hands of a clock at 5 o'clock?

A man's pay doubles each day for 10 days, starting at $2 on the first day. What is his total pay for the 10 days?