• Store sell


    A store sells letters for the number of house. The identical letters have the same value; the different letters have different values. We know that the word ONE is worth $6, the word TWO is worth $9, the word ELEVEN is worth $16. How much costs the word TWELVE?
  • Waching machine


    A store sells a washing machine for $350, its price was twice settled in the same percentage. Knowing that the final price of the washing machine is $283,5, in how much % was it settled every time?
  • Find the digit


    Find a positive integer 3-digit, equal to 17 times the sum of its figures.
  • Zoo


    In a zoo, 4 animals fell ill and the veterinarian distributes 2006 tablets for 4 animals. The rhinoceros received a tablet furthermore than the crocodile, the hippopotamus received a tablet furthermore than the rhinoceros, the elephant received a tablet furthermore than the hippopotamus. How many tablets received the elephant?
  • Football teams


    5 soccer teams participate in a tournament, all the teams are in confrontation 1 time. A victory gives 3 points, a draw gives 1 point, a defeat does not give points. We know that four teams have respectively 1, 2, 5 and 7 points. How many points has the fifth team?
  • Friendly share


    Kolya and Yuri share a cake beetween them. Yuri complains to have received a small part. Then, Kolya gives him the third from his part. After that, Yuri's part become 3 times bigger than before. What part of the cake Kolya had at first? (Answer in form : x/y)
  • Optimization


    Petya received 777 chocolates on February 23rd. Petya wants to eat all the chocolates in N days, by eating every day 1 chocolate more than the previous day (except the first day when he can eat it so much that he wants). What is the largest number of days N for which it is possible?
  • Pencils box


    A box contains blue, red and green pencils. All in all, there is 20. There are 6 times more blue pencils than green. There are fewer red pencils than blue. How many red pencils are in the box?
  • Magician


    A magician chooses an integer between 1 and 144. To guess this number, we have to choose an interval of integers and ask if the number of the magician belongs to this interval. If the magician answers "yes", then it is necessary to pay $2. If the magician answers "no", then it is necessary to pay $1. What is the minimal sum of money to be paid, to find the number of the magician?
  • Family album


    A family photo album contains 10 pictures. On every picture, 3 people are represented: in the center, a man; in his left, his son; in his right, his brother. At least, how many different people can appear in the album family photo, knowing that the 10 men in the center are different?

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Recent problems :
(All problems are in the Training section)

  • A store sells letters for the number of house. The identical letters have the same value; the different letters have different values. We know that the word ONE is worth $6, the word TWO is worth $9, the word ELEVEN is worth $16. How much costs the word TWELVE?
  • A store sells a washing machine for $350, its price was twice settled in the same percentage. Knowing that the final price of the washing machine is $283,5, in how much % was it settled every time?
  • Find a positive integer 3-digit, equal to 17 times the sum of its figures.
  • In a zoo, 4 animals fell ill and the veterinarian distributes 2006 tablets for 4 animals. The rhinoceros received a tablet furthermore than the crocodile, the hippopotamus received a tablet furthermore than the rhinoceros, the elephant received a tablet furthermore than the hippopotamus. How many tablets received the elephant?
  • 5 soccer teams participate in a tournament, all the teams are in confrontation 1 time. A victory gives 3 points, a draw gives 1 point, a defeat does not give points. We know that four teams have respectively 1, 2, 5 and 7 points. How many points has the fifth team?
  • Kolya and Yuri share a cake beetween them. Yuri complains to have received a small part. Then, Kolya gives him the third from his part. After that, Yuri's part become 3 times bigger than before. What part of the cake Kolya had at first? (Answer in form : x/y)
  • Petya received 777 chocolates on February 23rd. Petya wants to eat all the chocolates in N days, by eating every day 1 chocolate more than the previous day (except the first day when he can eat it so much that he wants). What is the largest number of days N for which it is possible?
  • A box contains blue, red and green pencils. All in all, there is 20. There are 6 times more blue pencils than green. There are fewer red pencils than blue. How many red pencils are in the box?
  • A magician chooses an integer between 1 and 144. To guess this number, we have to choose an interval of integers and ask if the number of the magician belongs to this interval. If the magician answers "yes", then it is necessary to pay $2. If the magician answers "no", then it is necessary to pay $1. What is the minimal sum of money to be paid, to find the number of the magician?
  • A family photo album contains 10 pictures. On every picture, 3 people are represented: in the center, a man; in his left, his son; in his right, his brother. At least, how many different people can appear in the album family photo, knowing that the 10 men in the center are different?