HMC 2002 Math Quiz
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Questions and Answers

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

  • 12:00 (correct)
  • 11:00
  • 10:00
  • 13:00
  • How many times larger is the first 8 than the second in 86482?

  • 100
  • 80 (correct)
  • 10
  • 1000
  • 7920
  • If a + b = 26 and a - b = 12, then find the value of a * b.

  • 130
  • 133
  • 123
  • 135 (correct)
  • 143
  • In any calendar year, what would be the maximum number of Saturdays that fall on the 9th day of the month?

    <p>4</p> Signup and view all the answers

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

    <p>1</p> Signup and view all the answers

    What fraction of the day is 180 minutes?

    <p>1/4</p> Signup and view all the answers

    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?

    <p>7</p> Signup and view all the answers

    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?

    <p>$12 \times 12$</p> Signup and view all the answers

    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?

    <p>15</p> Signup and view all the answers

    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?

    <p>86</p> Signup and view all the answers

    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?

    <p>CD</p> Signup and view all the answers

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

    <p>37</p> Signup and view all the answers

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

    <p>96</p> Signup and view all the answers

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

    <p>$\div$</p> Signup and view all the answers

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

    <p>1.5</p> Signup and view all the answers

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

    <p>7</p> Signup and view all the answers

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

    <p>150°</p> Signup and view all the answers

    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?

    <p>$1999</p> Signup and view all the answers

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