Resources tagged with: Rational and irrational numbers

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Broad Topics > The Number System and Place Value > Rational and irrational numbers

Equal Equilateral Triangles

Age 14 to 16 Challenge Level:

Can you make a regular hexagon from yellow triangles the same size as a regular hexagon made from green triangles ?

The Square Hole

Age 14 to 16 Challenge Level:

If the yellow equilateral triangle is taken as the unit for area, what size is the hole ?

Rationals Between...

Age 14 to 16 Challenge Level:

What fractions can you find between the square roots of 65 and 67?


Age 14 to 16 Challenge Level:

Can you express every recurring decimal as a fraction?

All Is Number

Age 7 to 14

Read all about Pythagoras' mathematical discoveries in this article written for students.

The Dangerous Ratio

Age 11 to 14

This article for pupils and teachers looks at a number that even the great mathematician, Pythagoras, found terrifying.

An Introduction to Proof by Contradiction

Age 14 to 18

An introduction to proof by contradiction, a powerful method of mathematical proof.

An Introduction to Irrational Numbers

Age 14 to 18

Tim Rowland introduces irrational numbers

What Are Numbers?

Age 7 to 18

Ranging from kindergarten mathematics to the fringe of research this informal article paints the big picture of number in a non technical way suitable for primary teachers and older students.

Making Rectangles, Making Squares

Age 11 to 14 Challenge Level:

How many differently shaped rectangles can you build using these equilateral and isosceles triangles? Can you make a square?