Place value

  • Think of Two Numbers
    problem

    Think of two numbers

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?
  • Back to the Planet of Vuvv
    problem

    Back to the planet of Vuvv

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

    There are two forms of counting on Vuvv - Zios count in base 3 and Zepts count in base 7. Can you work out in which direction the Zios and Zepts were looking, based on the information you're given?

  • Reach 100
    problem

    Reach 100

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

    Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.

  • All the Digits
    problem

    All the digits

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

    This multiplication uses each of the digits 0 - 9 once and once only. Using the information given, can you replace the stars in the calculation with figures?

  • More Mathematical Mysteries
    problem

    More mathematical mysteries

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Write down a three-digit number Change the order of the digits to get a different number Find the difference between the two three digit numbers Follow the rest of the instructions then try to explain why this works.
  • Spell by Numbers
    problem

    Spell by numbers

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Can you substitute numbers for the letters in these sums?
  • Eleven
    problem

    Eleven

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Replace each letter with a digit to make this addition correct.
  • Please Explain
    problem

    Please explain

    Age
    11 to 14
    Challenge level
    filled star filled star filled star
    Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain why this works.
  • Read This Page
    problem

    Read this page

    Age
    11 to 14
    Challenge level
    filled star filled star empty star
    Replace the letters with numbers to make the addition work out correctly. R E A D + T H I S = P A G E
  • What number?
    problem

    What number?

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    I am less than 25. My ones digit is twice my tens digit. My digits add up to an even number.