Factors and multiples

  • Mathdoku
    problem

    Mathdoku

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

    Complete the Mathdoku grid using the clues. Can you convince us that the number you have chosen for each square has to be correct?

  • 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?

  • 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?
  • Thinking Mathematically - Short Problems
    problem

    What Two ...?

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

    56 406 is the product of two consecutive numbers. What are these two numbers?

  • Spelling Circle
    problem

    Spelling Circle

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Find the words hidden inside each of the circles by counting around a certain number of spaces to find each letter in turn.
  • Sets of Numbers
    problem

    Sets of Numbers

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

    How many different sets of numbers with at least four members can you find in the numbers in this box?

  • A Square Deal
    problem

    A Square Deal

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    Complete the magic square using the numbers 1 to 25 once each. Each row, column and diagonal adds up to 65.
  • Sets of Four Numbers
    problem

    Sets of Four Numbers

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    There are ten children in Becky's group. Can you find a set of numbers for each of them? Are there any other sets?
  • Crossings
    problem

    Crossings

    Age
    7 to 11
    Challenge level
    filled star filled star empty star
    In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
  • Which numbers? (2)
    problem

    Which Numbers? (2)

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

    I am thinking of three sets of numbers less than 101. Can you find all the numbers in each set from these clues?