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### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Creating and Manipulating Linear and Quadratic Expressions: Age 11-14

### Number Pyramids

### Your Number Is...

### Crossed Ends

### Perimeter Expressions

### Special Numbers

### Quadratic Patterns

### More Number Pyramids

### Reversals

### Fibonacci Surprises

### Always a Multiple?

### Think of Two Numbers

### Creating and Manipulating Linear and Quadratic Expressions - Short Problems

### The Number Jumbler

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

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Age 11 to 14

Challenge Level

Try entering different sets of numbers in the number pyramids. How does the total at the top change?

Age 7 to 14

Challenge Level

Think of a number and follow the machine's instructions... I know what your number is! Can you explain how I know?

Age 11 to 14

Challenge Level

Crosses can be drawn on number grids of various sizes. What do you notice when you add opposite ends?

Age 11 to 14

Challenge Level

Create some shapes by combining two or more rectangles. What can you say about the areas and perimeters of the shapes you can make?

Age 11 to 14

Challenge Level

My two digit number is special because adding the sum of its digits to the product of its digits gives me my original number. What could my number be?

Age 11 to 14

Challenge Level

Surprising numerical patterns can be explained using algebra and diagrams...

Age 11 to 14

Challenge Level

When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...

Age 11 to 14

Challenge Level

Where should you start, if you want to finish back where you started?

Age 11 to 14

Challenge Level

Play around with the Fibonacci sequence and discover some surprising results!

Age 11 to 14

Challenge Level

Think of a two digit number, reverse the digits, and add the numbers together. Something special happens...

Age 11 to 14

Challenge Level

Think of two whole numbers under 10, and follow the steps. I can work out both your numbers very quickly. How?

Age 11 to 16

A collection of short problems on creating algebraic expressions.

Age 7 to 14

Challenge Level

The Number Jumbler can always work out your chosen symbol. Can you work out how?

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