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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Patterns and Sequences KS2

### Break it Up!

### Counting Stick Conjectures

### Street Sequences

### Holes

### Count the Digits

### Unravelling Sequences

### Tables Without Tens

### Times Tables Shifts

### Button-up Some More

### Sticky Triangles

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

Or search by topic

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

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?

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?

Age 5 to 11

Challenge Level

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

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?

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?

Age 7 to 11

Challenge Level

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

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.

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?

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 ...?

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"?

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