Working systematically

  • Street Party
    problem

    Street Party

    Age
    7 to 11
    Challenge level
    The challenge here is to find as many routes as you can for a fence to go so that this town is divided up into two halves, each with 8 blocks.
  • New House
    problem

    New House

    Age
    7 to 11
    Challenge level
    In this investigation, you must try to make houses using cubes. If the base must not spill over 4 squares and you have 7 cubes which stand for 7 rooms, what different designs can you come up with?
  • Fencing Lambs
    problem

    Fencing Lambs

    Age
    7 to 11
    Challenge level
    A thoughtful shepherd used bales of straw to protect the area around his lambs. Explore how you can arrange the bales.
  • The number 64 and an arrow on a blue metal plate.
    problem

    It's All About 64

    Age
    7 to 11
    Challenge level

    Write the numbers up to 64 in an interesting way so that the shape they make at the end is interesting, different, more exciting ... than just a square.

  • Halloween Investigation
    problem

    Halloween Investigation

    Age
    7 to 11
    Challenge level
    Ana and Ross looked in a trunk in the attic. They found old cloaks and gowns, hats and masks. How many possible costumes could they make?
  • Is a Square a Rectangle?
    problem

    Is a Square a Rectangle?

    Age
    7 to 11
    Challenge level
    How many rectangles can you find in this shape? Which ones are differently sized and which are 'similar'?
  • Two By One
    problem

    Two by One

    Age
    7 to 11
    Challenge level

    An activity making various patterns with 2 × 1 rectangular tiles.

  • A snail looking up to the right.
    problem

    Snails' Trails

    Age
    7 to 11
    Challenge level

    Alice and Brian are snails who live on a wall and can only travel along the cracks. Alice wants to go to see Brian. How far is the shortest route along the cracks? Is there more than one way to go?

  • The Pet Graph
    problem

    The Pet Graph

    Age
    7 to 11
    Challenge level
    Tim's class collected data about all their pets. Can you put the animal names under each column in the block graph using the information?
  • A Child is Full of ...
    problem

    A Child Is Full of ...

    Age
    7 to 11
    Challenge level
    My cousin was 24 years old on Friday April 5th in 1974. On what day of the week was she born?
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