List

Patterns and sequences: Age 7-11

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

problem

Break it up!

Age

5 to 11

Challenge level

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?

problem

Street sequences

Age

5 to 11

Challenge level

Investigate what happens when you add house numbers along a street in different ways.

problem

Holes

Age

5 to 11

Challenge level

I've made some cubes and some cubes with holes in. This challenge invites you to explore the difference in the number of small cubes I've used. Can you see any patterns?

problem

Count the digits

Age

5 to 11

Challenge level

In this investigation we are going to count the number of 1s, 2s, 3s etc in numbers. Can you predict what will happen?

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

Unravelling sequences

Age

7 to 11

Challenge level

Can you describe what is happening as this program runs? Can you unpick the steps in the process?

problem

Tables without tens

Age

7 to 11

Challenge level

Investigate and explain the patterns that you see from recording just the units digits of numbers in the times tables.

problem

Times tables shifts

Age

7 to 11

Challenge level

In this activity, the computer chooses a times table and shifts it. Can you work out the table and the shift each time?

problem

Domino sets

Age

7 to 11

Challenge level

How do you know if your set of dominoes is complete?

problem

Button-up some more

Age

7 to 11

Challenge level

How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?

problem

Sticky triangles

Age

7 to 11

Challenge level

Can you continue this pattern of triangles and begin to predict how many sticks are used for each new "layer"?

Primary Algebra STEM footer

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.