Addition and subtraction

  • Domino Square
    problem

    Domino square

    Age
    7 to 11
    Challenge level
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    Use the 'double-3 down' dominoes to make a square so that each side has eight dots.

  • X is 5 squares
    problem

    X is 5 squares

    Age
    7 to 11
    Challenge level
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    Can you arrange 5 different digits (from 0 - 9) in the cross in the way described?
  • How Old?
    problem

    How old?

    Age
    7 to 11
    Challenge level
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    Cherri, Saxon, Mel and Paul are friends. They are all different ages. Can you find out the age of each friend using the information?
  • Hubble, bubble
    problem

    Hubble, bubble

    Age
    7 to 11
    Challenge level
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    Winifred Wytsh bought a box each of jelly babies, milk jelly bears, yellow jelly bees and jelly belly beans. In how many different ways could she make a jolly jelly feast with 32 legs?
  • Six is the Sum
    problem

    Six is the sum

    Age
    7 to 11
    Challenge level
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    What do the digits in the number fifteen add up to? How many other numbers have digits with the same total but no zeros?
  • Two Egg Timers
    problem

    Two egg timers

    Age
    7 to 11
    Challenge level
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    You have two egg timers. One takes 4 minutes exactly to empty and the other takes 7 minutes. What times in whole minutes can you measure and how?
  • Book Codes
    problem

    Book codes

    Age
    7 to 11
    Challenge level
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    Look on the back of any modern book and you will find an ISBN code. Take this code and calculate this sum in the way shown. Can you see what the answers always have in common?
  • Neighbours
    problem

    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?
  • Dodecamagic
    problem

    Dodecamagic

    Age
    7 to 11
    Challenge level
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    Here you see the front and back views of a dodecahedron. Each vertex has been numbered so that the numbers around each pentagonal face add up to 65. Can you find all the missing numbers?
  • Prison Cells
    problem

    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?