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For younger learners

  • Early Years Foundation Stage

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


This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Number Pyramids

Age 11 to 14
Challenge Level Yellow star

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

Your Number Is...

Age 7 to 14
Challenge Level Yellow star

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

Crossed Ends

Age 11 to 14
Challenge Level Yellow star

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

Perimeter Expressions

Age 11 to 14
Challenge Level Yellow star

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

Special Numbers

Age 11 to 14
Challenge Level Yellow star

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?

Quadratic Patterns

Age 11 to 14
Challenge Level Yellow starYellow star

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

More Number Pyramids

Age 11 to 14
Challenge Level Yellow starYellow star

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

Reversals

Age 11 to 14
Challenge Level Yellow starYellow star

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

Fibonacci Surprises

Age 11 to 14
Challenge Level Yellow starYellow star

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

Always a Multiple?

Age 11 to 14
Challenge Level Yellow starYellow star

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

Think of Two Numbers

Age 11 to 14
Challenge Level Yellow starYellow star

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

The Simple Life

Age 11 to 14
Challenge Level Yellow starYellow star

The answer is $5x+8y$... What was the question?

Creating and Manipulating Linear and Quadratic Expressions - Short Problems

Age 11 to 16

A collection of short problems on creating algebraic expressions.

The Number Jumbler

Age 7 to 14
Challenge Level Yellow star

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



 
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.
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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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