Addition and subtraction

  • problem
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    Fifteen Cards

    Age
    7 to 11
    Challenge level
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    Can you use the information to find out which cards I have used?

  • A yellow bag containing some threes.
    problem
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    Play to 37

    Age
    7 to 11
    Challenge level
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    In this game the winner is the first to make the total 37. Is this a fair game?

  • Roll these Dice
    problem
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    Roll These Dice

    Age
    7 to 11
    Challenge level
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    Roll two red dice and a green dice. Add the two numbers on the red dice and take away the number on the green. What are all the different possible answers?

  • problem
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    Maze 100

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Can you go through this maze so that the numbers you pass add to exactly 100?

  • Domino Square
    problem
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    Domino Square

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

  • Neighbours
    problem
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    Neighbours

    Age
    7 to 11
    Challenge level
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    In a square in which the houses are evenly spaced, numbers 3 and 10 are opposite each other. What is the smallest and what is the largest possible number of houses in the square?
  • Prison Cells
    problem
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    Prison Cells

    Age
    7 to 11
    Challenge level
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    There are 78 prisoners in a square cell block of twelve cells. The clever prison warder arranged them so there were 25 along each wall of the prison block. How did he do it?
  • Make 100
    problem
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    Make 100

    Age
    7 to 11
    Challenge level
    filled star filled star empty star

    Find at least one way to put in some operation signs to make these digits come to 100.

  • Amy's Dominoes
    problem
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    Amy's Dominoes

    Age
    7 to 11
    Challenge level
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    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

  • Twenty Divided into Six
    problem
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    Twenty Divided Into Six

    Age
    7 to 11
    Challenge level
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    Katie had a pack of 20 cards numbered from 1 to 20. She arranged the cards into 6 unequal piles where each pile added to the same total. What was the total and how could this be done?