Mental calculations

  • Shape Times Shape
    problem

    Shape times shape

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

    These eleven shapes each stand for a different number. Can you use the number sentences to work out what they are?

  • Number Lines
    problem

    Number lines

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

    Leah and Tom each have a number line. Can you work out where their counters will land?

  • Street Lamps
    problem

    Street lamps

    Age
    11 to 14
    Challenge level
    filled star empty star empty star
    Walking up a steep hill, I pass 10 equally spaced street lamps. How long do I take to walk from the first lamp to the last?
  • Domino Sorting
    problem

    Domino sorting

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

    Try grouping the dominoes in the ways described. Are there any left over each time? Can you explain why?

  • Number Balance
    problem

    Number balance

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

    Can you hang weights in the right place to make the the number balance balanced?

  • Carrying Cards
    problem

    Carrying cards

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

    These sixteen children are standing in four lines of four, one behind the other. They are each holding a card with a number on it. Can you work out the missing numbers?

  • Consecutive Seven
    problem

    Consecutive seven

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

    Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

  • Finding Fifteen
    problem

    Finding fifteen

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

    Tim had nine cards each with a different number from 1 to 9 on it. How could he have put them into three piles so that the total in each pile was 15?

  • Chocoholics
    problem

    Chocoholics

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    George and Jim want to buy a chocolate bar. George needs 2p more and Jim need 50p more to buy it. How much is the chocolate bar?