Describing patterns and sequences

There are 124 NRICH Mathematical resources connected to Describing patterns and sequences

problem

Favourite

Caterpillars

Age

5 to 7

Challenge level

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?

problem

Favourite

The numbers give the design

Age

7 to 11

Challenge level

Make new patterns from simple turning instructions. You can have a go using pencil and paper or with a floor robot.

problem

Favourite

A city of towers

Age

5 to 7

Challenge level

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?

problem

Favourite

Frogs

Age

11 to 14

Challenge level

How many moves does it take to swap over some red and blue frogs? Do you have a method?

problem

Favourite

Sept 03

Age

11 to 14

Challenge level

What is the last digit of the number 1 / 5^903 ?

problem

Favourite

Coordinate patterns

Age

11 to 14

Challenge level

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

problem

Favourite

En-counters

Age

5 to 7

Challenge level

This task requires learners to explain and help others, asking and answering questions.

problem

Favourite

Chain of changes

Age

5 to 7

Challenge level

Arrange the shapes in a line so that you change either colour or shape in the next piece along. Can you find several ways to start with a blue triangle and end with a red circle?

problem

Favourite

Painted cube

Age

14 to 16

Challenge level

Imagine a large cube made from small red cubes being dropped into a pot of yellow paint. How many of the small cubes will have yellow paint on their faces?

problem

Favourite

Repeating patterns

Age

5 to 7

Challenge level

Try continuing these patterns made from triangles. Can you create your own repeating pattern?

Or search by topic

Number and algebra

Geometry and measure

Probability and statistics

Working mathematically

Advanced mathematics

For younger learners

Describing patterns and sequences

Caterpillars

The numbers give the design

A city of towers

Frogs

Sept 03

Coordinate patterns

En-counters

Chain of changes

Painted cube

Repeating patterns