Working systematically

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?
problem

Broken Toaster

Age

7 to 11

Challenge level

Only one side of a two-slice toaster is working. What is the quickest way to toast both sides of three slices of bread?
problem

Bunny Hop

Age

7 to 11

Challenge level

What is the smallest number of jumps needed before the white rabbits and the grey rabbits can continue along their path?
problem

Crack the Code

Age

7 to 11

Challenge level

The Zargoes use almost the same alphabet as English. What does this birthday message say?
problem

Two Dots

Age

7 to 11

Challenge level

Place eight dots on this diagram, so that there are only two dots on each straight line and only two dots on each circle.