Maths item of the month

Curriculum mapping

A list of Maths Items of the Month categorised by GCSE/A level topics can be seen at: Maths Items of the Month Curriculum mapping.

Recent Maths Items of the Month

May 2016
MEI Conference - Sessions about famous mathematicians

The 2015 MEI conference featured a strand of sessions about 12 famous mathematicians. The following problem is from the session about John Conway.

There are only three numbers (>1) that can be written as the sum of fourth powers of their digits:

1634 = 14 + 64 +34 +44
8208 = 84 + 24 + 04 + 84
9474 = 94 + 44 + 74 + 44

Find the smallest number (>1) that can be written as the sum of fifth powers of its digits.

This year the 2016 Conference will feature a strand of sessions about a different set of 12 famous mathematicians. To see details of these, and other sessions, visit the conference website:

April 2016
Are you sure?

right-angled triangle

What’s the area?

Now read the research: Drawing attention to a lack of attention

March 2016
Cube Slice

A cube is sliced vertically along the line shown in the diagram and the smaller part is thrown away.

cube slice 1

The remaining prism is going to be sliced vertically downwards again by a line going through corner D.

Where would the slice have to be to split it into two equal volumes?

cube slice 1

This problem is taken from the FMSP GCSE Problem Solving Materials.

February 2016
50, 60, 70, ... ?

Find the size of the angle α.


January 2016
Happy 2016

2016 is a triangular number.

The first three triangular numbers are: 1, 3, 6. The first three pentagonal numbers are: 1, 5, 12.

triangular and pentagonal numbers

The pentagonal numbers 1, 5 and 12 are all one third of a triangular number.

Are all pentagonal numbers one third of a triangular number?