Working systematically

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?
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.
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.
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?
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'?
problem

Two by One

Age

7 to 11

Challenge level

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

Page Numbers

Age

7 to 11

Challenge level

Exactly 195 digits have been used to number the pages in a book. How many pages does the book have?