Being resilient

  • 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?

  • Plenty of Pens
    problem

    Plenty of pens

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

    Amy's mum gave her £2.50 to spend. She bought four times as many pens as pencils and was given 40p change. How many of each did she buy?

  • Four goodness sake
    problem

    Four goodness' sake

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

    Use 4 four times in a calculation. What answers can you get?

  • Shapes on the Playground
    problem

    Shapes on the playground

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

    Sally and Ben were drawing shapes in chalk on the school playground. Can you work out what shapes each of them drew using the clues?

  • Numerically Equal
    problem

    Numerically equal

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

    Can you draw a square in which the perimeter is numerically equal to the area?

  • Amy's Dominoes
    problem

    Amy's dominoes

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

    Amy has a box containing domino pieces but she does not think it is a complete set. Which of her domino pieces are missing?

  • 1 Step 2 Step
    problem

    1 step 2 step

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

    Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

  • Forgot the Numbers
    problem

    Forgot the numbers

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

    On my calculator I divided one whole number by another whole number and got the answer 3.125. If the numbers are both under 50, what are they?

  • Make 100
    problem

    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.

  • Zios and Zepts
    problem

    Zios and Zepts

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

    On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?