Multiplication and division

  • Largest Number
    problem

    Largest Number

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    What is the largest number you can make using the three digits 2, 3 and 4 in any way you like, using any operations you like? You can only use each digit once.

  • Why 8?
    problem

    Why 8?

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    Choose any four consecutive even numbers. Multiply the two middle numbers together. Multiply the first and last numbers. Now subtract your second answer from the first. Try it with your own numbers. Why is the answer always 8?

  • The Genie in the Jar
    problem

    The Genie in the Jar

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    This jar used to hold perfumed oil. It contained enough oil to fill granid silver bottles. Each bottle held enough to fill ozvik golden goblets and each goblet held enough to fill vaswik crystal spoons. Each day a spoonful was used to perfume the bath of a beautiful princess. For how many days did the whole jar last? The genie's master replied: Five hundred and ninety five days. What three numbers do the genie's words granid, ozvik and vaswik stand for?

  • Interstellar
    problem

    Interstellar

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    What number could replace x so that x/5 is between 3 and 4?

  • Multiply the Addition Square
    problem

    Multiply the Addition Square

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    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?

  • Producing Zeros
    problem

    Producing Zeros

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

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

  • Pairing Up
    problem

    Pairing Up

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

    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?

  • Bus Route
    problem

    Bus Route

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

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

  • Debasing the Coinage
    problem

    Debasing the Coinage

    Age
    11 to 14
    Challenge level
    filled star empty star empty star

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

  • Oh! Hidden Inside?
    problem

    Oh! Hidden Inside?

    Age
    11 to 14
    Challenge level
    filled star filled star empty star

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