The MEI Maths Item of the Month is a monthly problem aimed at teachers and students of GCSE/A level Mathematics. The problems can be used for enrichment, problem solving or as a way to encourage mathematical thinking/proof.

A curriculum mapping is given below. This is not intended to be comprehensive - for example many of the algebra or geometry problems can be used with GCSE or A level students. There are also a number of problems that have been categorised as *Miscellaneous* at the end of the list.

- GCSE Mathematics
- A level Mathematics: Pure Maths (AS)
- A level Mathematics: Pure Maths (A level only)
- A level Further Mathematics: Pure Maths
- A level Mathematics: Statistics
- A level Further Mathematics: Decision Maths
- Miscellaneous problems

- October 2006 - Power Darts
- July 2011 - Some sums
- December 2011 - Sled-packing with Santa
- April 2012 - Think these are true? Don't be fooled.
- November 2013 - A prime example
- January 2015 - Happy 2015: A Triple of Triples
- August 2015 - Prime Number Days
- December 2015 - The Elf Lottery
- May 2016 - MEI Conference: Sessions about famous mathematicians (5th powers of digits)
- January 2017 - Happy 2017
- February 2017 - A Surprise Omission
- March 2017 - Twin Prime Days
- April 2017 - Multiple Choice
- January 2019 - Happy 2019
- May 2019 - Calculator Crunch

- January 2009 - Happy New Year
- April 2013 - April fool: 2+2=5
- January 2016 - Happy 2016
- March 2018 - Star Cores

- December 2008 - Triplets
- April 2009 - Doubling the Square
- September 2009 - Mirror
- October 2009 - One of Doug French's favourite theorems
- June 2011 - Circles in a triangle
- August 2013 - Tangents to a Cyclic Quadrilateral
- November 2015 - Three Line Whip
- February 2016 - 50, 60, 70, ... ?
- March 2016 - Cube Slice
- September 2016 - An unexpected fraction?
- September 2017 - Triangle in Adjacent Squares
- February 2018 - Quarter Master
- March 2018 - Star Cores
- June 2018 - MEI Conference 2018 – A couple of taster problems
- September 2018 - Spiral of Theodorus
- February 2019 - Thinking equilaterally
- April 2020 - 9 dots, 10 circles
- June 2020 -Area of an arbelos

- July 2009 - The answer is 'Parabola'...now, what's the question?
- May 2015 - A couple of MEI Conference problems
- October 2015 - AOB
- March 2019 - Regional differences
- September 2019 - Midpoints of the intersection of a line and a parabola
- October 2020 - Ritangle 2020

- June 2007 - Circles with integer co-ordinates
- November 2010 - Implicit curves
- May 2014 - How many circles?
- September 2015 - Reciprocating lengths
- July 2016 - Perpendicular parabolas
- August 2017 - Triangle on a hyperbola
- November 2017 - Ever Increasing Circles
- May 2020 - Walk on by
- September 2020 - Path of the midpoint

- September 2008 - The regular hexagon and its circles
- February 2010 - Almost regular
- May 2010 - Broken Reciprocal Key
- June 2011 - Circles in a triangle
- February 2013 - Squaring the circle
- October 2013 - A cute result
- March 2014 - Inner Circle
- December 2014 - A Christmas Star
- April 2018 - Easter egg

- October 2007 - An implicit equation of a line?
- May 2011 - Frequency of numbers in Pascal's triangle
- October 2012 - Factor in all the solutions
- January 2016 - Happy 2016
- July 2018 - Square cubes?

- November 2007 - Finding the tangent to a parabola geometrically
- April 2008 - Phive points
- November 2011 - Right on the Curve
- December 2012 - Christmas Baubles
- August 2014 - Cubic with Integer Points
- October 2015 - AOB

- February 2007 - Possibly the best counter-example in the world!
- July 2007 - Motivating proof by asking impossible questions
- May 2009 - Chords in polygons
- August 2011 - Pythagorean reciprocals
- April 2012 - Think these are true? Don't be fooled.
- February 2020 - Dotty squares
- November 2020 - Fault-free tilings

- September 2006 - Double angle formulae
- August 2007 - Equilateral triangle in a rectangle
- May 2012 - Identity problem
- July 2012 - Which is the best circle constant: pi or tau?
- September 2013 - Easy as 1, 2, 3?

- April 2007 - Zeckendorf representations
- March 2008 - When is a triangle a square?
- February 2009 - Using only unit fractions
- April 2011 - Not all triangles are perfect, but...
- July 2011 - Some sums
- November 2012 - When dates align
- June 2014 - APGP
- September 2014 - Square strings
- April 2015 - Consecutive Fibonacci Squares
- November 2018 - Terms of engagement
- December 2018 - Christmas trees
- March 2020 - Nowt taken out

- February 2014 - Cones from a Circle
- October 2016 - Tan lines
- June 2019 – A couple of MEI conference taster problems
- October 2020 - Ritangle 2020

- December 2006 - 19 not out
- May 2015 - A couple of MEI Conference problems
- June 2018 - MEI Conference 2018 – A couple of taster problems
- June 2019 – A couple of MEI conference taster problems

- June 2008 - Roots of a cubic in the Argand diagram
- May 2018 - Rich Tasks for Further Maths
- April fool: 1=−1

- January 07 - Sums of cubes
- November 2008 - The sum of all the reciprocals of all the powers
- July 2014 - Summer All Over
- August 2016 - Square sum of squares

- March 2009 - One-way roads
- March 2010 - Difference of two square roots
- January 2013 - Trying Triangulars
- May 2013 - The two colour theorem?
- April 2014 - Divisibility of consecutive integers
- July 2014 - Summer All Over
- July 2020 - Function of a function

- September 07 - Cats
- July 2008 - Finding the highest card
- September 2011 - Venn diagrams with areas proportional to probabilities
- January 2014 - An Unexpected Answer

- March 2009 - One-way roads
- March 2013 - Next factor
- May 2013 - The two colour theorem?
- December 2020 - Santa's score draw

- November 2009 - Colour boxes
- September 2010 - Tom's Buttons
- December 2010 - 10 days of Christmas
- January 2012 - Happy New Leap Year
- February 2012 - How odd is Pythagoras?
- April 2012 - Think these are true? Don't be fooled.
- July 2013 - Fair share
- January 2018 - Happy 2018

- June 2010 - Different Distances
- July 2010 - Dissections
- February 2011 - Circle Square
- March 2011 - 11 x 11 Square
- March 2012 - The Circle Line
- June 2012 - A conference session taster
- September 2012 - Siders
- June 2013 - Splitting a field
- December 2013 - Choosing crates with Santa
- March 2015 - 4 points, 2 lengths
- June 2015 - A couple of MEI Conference taster problems
- July 2015 - A match made in seven