Describing patterns and sequences

problem

Counting Stick Conjectures

Age

5 to 11

Challenge level

How many rectangles can you see? Are they all the same size? Can you predict how many rectangles there will be in counting sticks of different lengths?
problem

Month Mania

Age

5 to 11

Challenge level

Can you design a new shape for the twenty-eight squares and arrange the numbers in a logical way? What patterns do you notice?
problem

Taking a Die for a Walk

Age

5 to 11

Challenge level

Investigate the numbers that come up on a die as you roll it in the direction of north, south, east and west, without going over the path it's already made.
problem

Swimming Pool Tiles

Age

7 to 11

Challenge level

This activity creates an opportunity to explore all kinds of number-related patterns.
problem

Exploring Wild and Wonderful Number Patterns

Age

7 to 11

Challenge level

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.
problem

Sending Cards

Age

7 to 11

Challenge level

This challenge asks you to investigate the total number of cards that would be sent if four children send one to all three others. How many would be sent if there were five children? Six?
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

Calendar Patterns

Age

7 to 11

Challenge level

In this section from a calendar, put a square box around the 1st, 2nd, 8th and 9th. Add all the pairs of numbers. What do you notice about the answers?
problem

Pyramid Numbers

Age

7 to 11

Challenge level

What are the next three numbers in this sequence? Can you explain why are they called pyramid numbers?
problem

A Shapely Network

Age

7 to 11

Challenge level

Your challenge is to find the longest way through the network following this rule. You can start and finish anywhere, and with any shape, as long as you follow the correct order.