Exploring and noticing

  • 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?

  • problem

    One wasn't square

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

    Mrs Morgan, the class's teacher, pinned numbers onto the backs of three children. Use the information to find out what the three numbers were.

  • 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?

  • Fractions in a Box
    problem

    Fractions in a box

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

    The discs for this game are kept in a flat square box with a square hole for each. Use the information to find out how many discs of each colour there are in the box.

  • In the Money
    problem

    In the money

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

    One quarter of these coins are heads but when I turn over two coins, one third are heads. How many coins are there?

  • Find a Path
    problem

    Find a path

    Age
    5 to 7
    Challenge level
    filled star filled star empty star
    Can you find a path from a number at the top of this network to the bottom which goes through each number from 1 to 9 once and once only?
  • Path to the Stars
    problem

    Path to the stars

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Is it possible to draw a 5-pointed star without taking your pencil off the paper? Is it possible to draw a 6-pointed star in the same way without taking your pen off?
  • Four Colours
    problem

    Four colours

    Age
    5 to 11
    Challenge level
    filled star filled star empty star
    Kate has eight multilink cubes. She has two red ones, two yellow, two green and two blue. She wants to fit them together to make a cube so that each colour shows on each face just once.
  • 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?