List

Patterns and sequences KS1

This collection is one of our Primary Curriculum collections - tasks that are grouped by topic.

A City of Towers
problem
Favourite

A city of towers

Age
5 to 7
Challenge level
filled star empty star empty star

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?

Break it up!
problem
Favourite

Break it up!

Age
5 to 11
Challenge level
filled star empty star empty star

In how many different ways can you break up a stick of seven interlocking cubes? Now try with a stick of eight cubes and a stick of six cubes. What do you notice?

Chairs and Tables
problem
Favourite

Chairs and tables

Age
5 to 7
Challenge level
filled star empty star empty star

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table!

Street Sequences
problem

Street sequences

Age
5 to 11
Challenge level
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Investigate what happens when you add house numbers along a street in different ways.
Repeating Patterns
problem
Favourite

Repeating patterns

Age
5 to 7
Challenge level
filled star empty star empty star
Try continuing these patterns made from triangles. Can you create your own repeating pattern?
Cube bricks and daisy chains
problem

Cube bricks and daisy chains

Age
5 to 7
Challenge level
filled star empty star empty star

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.

Triple Cubes
problem
Favourite

Triple cubes

Age
5 to 11
Challenge level
filled star empty star empty star

This challenge involves eight three-cube models made from interlocking cubes. Investigate different ways of putting the models together then compare your constructions.

Poly Plug Pattern
problem
Favourite

Poly plug pattern

Age
5 to 7
Challenge level
filled star empty star empty star

Create a pattern on the small grid. How could you extend your pattern on the larger grid?

Domino Patterns
problem
Favourite

Domino patterns

Age
5 to 7
Challenge level
filled star empty star empty star

What patterns can you make with a set of dominoes?

Circles, Circles
problem
Favourite

Circles, circles

Age
5 to 11
Challenge level
filled star empty star empty star

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?

Counting Stick Conjectures
problem

Counting stick conjectures

Age
5 to 11
Challenge level
filled star empty star empty star
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?
Next Domino
problem
Favourite

Next domino

Age
5 to 7
Challenge level
filled star empty star empty star
Which comes next in each pattern of dominoes?
Missing Middles
problem
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Missing middles

Age
5 to 7
Challenge level
filled star filled star empty star
Can you work out the domino pieces which would go in the middle in each case to complete the pattern of these eight sets of three dominoes?
Hundred Square
problem
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Hundred square

Age
5 to 11
Challenge level
filled star filled star empty star

A hundred square has been printed on both sides of a piece of paper. What is on the back of 100? 58? 23? 19?

Three Ball Line Up
problem
Favourite

Three ball line up

Age
5 to 7
Challenge level
filled star filled star empty star
Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.
Caterpillars
problem
Favourite

Caterpillars

Age
5 to 7
Challenge level
filled star filled star empty star
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?
School fair necklaces
problem
Favourite

School fair necklaces

Age
5 to 11
Challenge level
filled star filled star empty star
How many possible symmetrical necklaces can you find? How do you know you've found them all?