Study

MTR2L1

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  • Several bulbs are connected to each other. All the lights are off now. When someone touches a bulb, that bulb and their neighbors light up. What is the least number of light bulbs that someone can touch to light them all?
    The least possible is 2.
  • Natalia has several sticks of length 1 of four colors blue, red, white and green. She wants to build a 3×3 figure so that each square of side 1 has exactly one stick of each color. What is the minimum number of green stick to use?
    The minimum number of green sticks to use is 5.
  • 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.
  • Three squirrels, Ada, Bris, and Carly, collected 7 nuts in all. Each squirrel picked up a different amount, and each squirrel picked up at least one nut. How many nuts did Carly collect if it is known that she collected the most nuts?
    1+2+4=7, so Carly collected 4 nuts.
  • A full glass container of liquid weighs 400 g. When empty it weighs 100 grams. How much does it weigh when it is half full?
    It weighs 250 g.
  • The sum of the ages of a group of children is 36. In 2 years the sum of the ages will be 60. How many children are in the group?
    There are 12 children
  • 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
  • Rodolfo has many coins, all the same. To buy one apple and a pear he pays 5 coins; to buy a banana and a apple he pays 7 coins; to buy a pear and a banana he pays 10 coins. How many coins does he pay for an apple, a pear and a banana?
    11 coins
  • 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
  • Amira, Bernardo, Constance, Dora and Eric went to a party. Some of them shook hands with each other. If Amira just shook hands once, Bernardo did it twice, Constance did it 3 times and Dora did it 4 times, how many times did Eric do it?
    Eric shook hands with 2 people.