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Level 2 Round 1

  •  English    10     Public
    Math Competition
  •   Study   Slideshow
  • Imagine a digital clock like the one shown below. How many times will the clock display three or more of the same number in a row over the course of one day? The clock in this puzzle displays time on a 12-hour scale.
    34 times. It's easy enough to spot times like 1:11 or 2:22, but many people forget about combinations like 10:00 or 11:12.
  •  25
  • I add six to eleven, and get five. Why is this correct?
    When it is 11 a.m., adding six hours makes it 5 p.m.
  •  10
  • Old Granny Adams left half her money to her granddaughter and half that amount to her grandson. She left a sixth to her brother, and the remainder, $1,000, to the dogs’ home. How much did she leave altogether?
    Think about it as 6/12, 3/12, 2/12, which equals 11/12. If the remainder is $1,000, that must be one-twelfth, so the total is $12,000.
  •  20
  • What single digit appears most frequently between and including the numbers 1 and 1,000?
    The number 1 appears 301 times, and every other number appears 300 times
  •  15
  • If a hen and a half lay an egg and a half in a day and a half, how many eggs will half a dozen hens lay in half a dozen days?
    Two dozen. If you increase both the number of hens and the amount of time available four-fold the number of eggs increases 16 times.
  •  10
  • My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house numbers?
    The lowest possible numbers for the houses are 19 and 91. The difference is 72.
  •  25
  • A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among three people, two remain and if I deal among five people, two cards remain. How many cards are there?
    There are 47 cards. Find the multiples of four, three, and five closest to 52, and see if any of them are the same.
  •  25
  • You know 2 + 2 comes to the same as 2 x 2. Now find a set of three different whole numbers whose sum is equal to their total when multiplied.
    The three different whole numbers whose sum is equal to their total when multiplied are 1, 2, and 3
  •  10
  • What is the smallest whole number that is equal to seven times the sum of its digits?
    The second digit must be twice the first. The smallest such number is 21
  •  20
  • What is the smallest number that increases by 12 when it is flipped and turned upside down?
    The answer is 86. When it is turned upside down and flipped, it becomes 98, which is 12 more than 86.
  •  10