# Resources tagged with: Patterned numbers

### There are 12 results

Broad Topics >

Numbers and the Number System > Patterned numbers

##### Age 14 to 18

An article which gives an account of some properties of magic squares.

##### Age 14 to 16 Challenge Level:

In 15 years' time my age will be the square of my age 15 years ago. Can you work out my age, and when I had other special birthdays?

##### Age 14 to 16 Challenge Level:

What is the total number of squares that can be made on a 5 by 5 geoboard?

##### Age 14 to 16 Challenge Level:

Find b where 3723(base 10) = 123(base b).

##### Age 14 to 16 Challenge Level:

How many ways can the terms in an ordered list be combined by
repeating a single binary operation. Show that for 4 terms there
are 5 cases and find the number of cases for 5 terms and 6 terms.

##### Age 14 to 16 Challenge Level:

A walk is made up of diagonal steps from left to right, starting at
the origin and ending on the x-axis. How many paths are there for 4
steps, for 6 steps, for 8 steps?

##### Age 14 to 16 Challenge Level:

The diagram illustrates the formula: 1 + 3 + 5 + ... + (2n - 1) = n² Use the diagram to show that any odd number is the difference of two squares.

##### Age 14 to 16 Challenge Level:

Show that all pentagonal numbers are one third of a triangular number.

##### Age 14 to 16 Challenge Level:

Can you see how to build a harmonic triangle? Can you work out the next two rows?

##### Age 14 to 18

An account of some magic squares and their properties and and how to construct them for yourself.

##### Age 16 to 18 Challenge Level:

Evaluate these powers of 67. What do you notice? Can you convince
someone what the answer would be to (a million sixes followed by a
7) squared?

##### Age 7 to 18 Challenge Level:

Libby Jared helped to set up NRICH and this is one of her favourite
problems. It's a problem suitable for a wide age range and best
tackled practically.