Arithmetic sequences

  • Next Domino
    problem
    Favourite

    Next Domino

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

    Which comes next in each pattern of dominoes?

  • problem
    Favourite

    Buzzy Bee

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

    Buzzy Bee was building a honeycomb. She decorated the honeycomb with a pattern using numbers. Can you discover Buzzy's pattern and fill in the empty cells for her?

  • A row of dominoes falling over.
    problem
    Favourite

    Domino Sequences

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

    Find the next two dominoes in these sequences.

  • 100 Square Jigsaw
    problem
    Favourite

    100 Square Jigsaw

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

    Can you complete this jigsaw of the 100 square?

  • Missing Middles
    problem
    Favourite

    Missing Middles

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

    Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?

  • Doplication
    problem
    Favourite

    Doplication

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

    We can arrange dots in a similar way to the 5 on a dice and they usually sit quite well into a rectangular shape. How many altogether in this 3 by 5? What happens for other sizes?

  • Pocket money
    problem
    Favourite

    Pocket Money

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

    Which of these pocket money systems would you rather have?

  • Days and Dates
    problem
    Favourite

    Days and Dates

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

    Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

  • Picturing Square Numbers
    problem
    Favourite

    Picturing Square Numbers

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

    Square numbers can be represented as the sum of consecutive odd numbers. What is the sum of 1 + 3 + ..... + 149 + 151 + 153?