Factors and multiples

  • problem

    Sweets in a box

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

    How many different shaped boxes can you design for 36 sweets in one layer? Can you arrange the sweets so that no sweets of the same colour are next to each other in any direction?

  • Bracelets
    problem

    Bracelets

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

    Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

  • It Figures
    problem

    It figures

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Suppose we allow ourselves to use three numbers less than 10 and multiply them together. How many different products can you find? How do you know you've got them all?
  • Pebbles
    problem

    Pebbles

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

    Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

  • Sums of Squares and Sums of Cubes
    article

    Sums of squares and sums of cubes

    An account of methods for finding whether or not a number can be written as the sum of two or more squares or as the sum of two or more cubes.
  • Telescoping Functions
    article

    Telescoping functions

    Take a complicated fraction with the product of five quartics top and bottom and reduce this to a whole number. This is a numerical example involving some clever algebra.
  • Divisibility Tests
    article

    Divisibility tests

    This article explains various divisibility rules and why they work. An article to read with pencil and paper handy.
Displaying 231 - 240 of 253