Here are some arrangements of circles. How many circles would I need to make the next size up for each? Can you create your own arrangement and investigate the number of circles it needs?
What patterns can you make with a set of dominoes?
How many possible necklaces can you find? And how do you know you've found them all?
Create a pattern on the left-hand grid. How could you extend your pattern on the right-hand grid?
This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
These caterpillars have 16 parts. What different shapes do they make if each part lies in the small squares of a 4 by 4 square?
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?
In how many different ways can you break up a stick of 7 interlocking cubes? Now try with a stick of 8 cubes and a stick of 6 cubes.
In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?
Daisy and Akram were making number patterns. Daisy was using beads that looked like flowers and Akram was using cube bricks. First they were counting in twos.