Multiplication and division

  • Multiply the Addition Square
    problem

    Multiply the Addition Square

    Age
    11 to 14
    Challenge level
    1 out of 3

    If you take a three by three square on a 1-10 addition square and multiply the diagonally opposite numbers together, what is the difference between these products. Why?

  • Small tomato seedlings in pink pots.
    problem

    Producing Zeros

    Age
    11 to 14
    Challenge level
    1 out of 3

    Weekly Problem 10 - 2008
    If the numbers 1 to 10 are all multiplied together, how many zeros are at the end of the answer?

  • Small tomato seedlings in pink pots.
    problem

    Pairing Up

    Age
    11 to 14
    Challenge level
    1 out of 3

    The numbers 72, 8, 24, 10, 5, 45, 36, 15 are grouped in pairs so that each pair has the same product. Which number is paired with 10?

  • Small tomato seedlings in pink pots.
    problem

    Bus Route

    Age
    11 to 14
    Challenge level
    1 out of 3

    How far apart are the first and last bus stops in this bus route?

  • Small tomato seedlings in pink pots.
    problem

    Debasing the Coinage

    Age
    11 to 14
    Challenge level
    1 out of 3

    How much lighter will £5 worth of 5p's be with these new lighter coins?

  • Multiples Sudoku
    problem

    Multiples Sudoku

    Age
    11 to 14
    Challenge level
    1 out of 3

    Each clue in this Sudoku is the product of the two numbers in adjacent cells.

  • Oh! Hidden Inside?
    problem

    Oh! Hidden Inside?

    Age
    11 to 14
    Challenge level
    2 out of 3

    Find the number which has 8 divisors, such that the product of the divisors is 331776.

  • 3388
    problem

    3388

    Age
    11 to 14
    Challenge level
    2 out of 3

    Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

  • Small tomato seedlings in pink pots.
    problem

    Adjacent Factors

    Age
    11 to 14
    Challenge level
    2 out of 3

    Two numbers can be placed adjacent if one of them divides the other. Using only $1,...,10$, can you write the longest such list?

  • Small tomato seedlings in pink pots.
    problem

    Rolling Along the Trail

    Age
    11 to 14
    Challenge level
    2 out of 3

    What could be the scores from five throws of this dice?