Explaining, convincing and proving

  • A chopped carrot beside a whole carrot. The carrot top sits away from the chopped carrot.
    problem

    Remainders

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

    I'm thinking of a number. My number is both a multiple of 5 and a multiple of 6. What could my number be?

  • Diagonal Sums
    problem

    Diagonal sums

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

    In this 100 square, look at the green square which contains the numbers 2, 3, 12 and 13. What is the sum of the numbers that are diagonally opposite each other? What do you notice?

  • problem

    Doughnut percents

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

    Can you make doughnuts by matching these fractions, decimals and percentages?

  • problem

    Three neighbours

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

    Take three consecutive numbers and add them together. What do you notice?

  • problem

    Inky cube

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

  • So it's times!
    problem

    So it's times!

    Age
    7 to 14
    Challenge level
    filled star filled star filled star

    How will you decide which way of flipping over and/or turning the grid will give you the highest total?

  • Fruity Totals
    problem

    Fruity totals

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    In this interactivity each fruit has a hidden value. Can you deduce what each one is worth?

  • 5 by 5 Mathdokus
    problem

    5 by 5 Mathdokus

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    Can you use the clues to complete these 5 by 5 Mathematical Sudokus?

  • 6 by 6 Mathdokus
    problem

    6 by 6 Mathdokus

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    Can you use the clues to complete these 6 by 6 Mathematical Sudokus?

  • Xavi's T-shirt
    problem

    Xavi's T-shirt

    Age
    7 to 16
    Challenge level
    filled star empty star empty star

    How much can you read into a T-shirt?