ibmathsresources

[ibmathsresources]

A completely new Paper 2 for SL Applications students – this is my prediction for the May 2025 paper based on the style and trends for the questions currently being asked by IB examiners.  This includes both a full question paper and full typed markscheme.

[ibmathsresources]

Predicted May 2025: SL Applications Paper 1

A completely new Paper 1 for SL Applications students – this is my prediction for the May 2025 paper based on the style and trends for the questions currently being asked by IB examiners.  This includes both a full question paper and full typed markscheme.

[ibmathsresources]

Predicted May 2025: SL Analysis Paper 2

A completely new Paper 2 for SL Analysis students – this is my prediction for the May 2025 paper based on the style and trends for the questions currently being asked by IB examiners.  This includes both a full question paper and full typed markscheme.

[ibmathsresources]

Predicted May 2025: SL Analysis Paper 1

A completely new Paper 1 for SL Analysis students – this is my prediction for the May 2025 paper based on the style and trends for the questions currently being asked by IB examiners.  This includes both a full question paper and full typed markscheme.

[ibmathsresources]

Paper 3s for HL Applications

Six original Paper 3 investigations to support problem solving skills to prepare for the Paper 3 Higher Level paper.  These investigations also are excellent for coursework explorations.  Full markschemes also included.

[ibmathsresources]

Paper 3s for Analysis HL

Eight original Paper 3 investigations to support problem solving skills to prepare for the Paper 3 Higher Level paper.  These investigations also are excellent for coursework explorations.  Full markschemes also included.

[ibmathsresources]

Modelling Guide for IAs

A 60 page modelling guide to support students through all aspects of modelling tasks for the IB exploration.

[ibmathsresources]

Statistics Guide for Explorations

Stats guide

[ibmathsresources]

Exploration Guide for IB Maths Coursework

A 65 pdf guide to support students and teachers through the process of the IB coursework

[ibmathsresources]

Maths and Evolutionary Biology

  Maths and Evolutionary Biology Mathematics is often utilised across many fields – lets look at an example from biology, evolutionary biology and paleontology, in trying to understand the development of homo-sapiens.  We can start with a large data set which gives us the data for mammal body mass and brain size in grams (downloaded from here).  I then tidied up this to remove the rows with NA…

[ibmathsresources]

A Cat and Mouse Game

A Cat and Mouse Game The Numberphile video above talks through an investigation in which a mouse is swimming in a pond, with a hungry cat prowling around the edge.  The cat can’t swim, but can run at a speed of 4m/s.  The mouse can swim at a speed of 1m/s and can run faster than the cat on the land.  The question is, can the mouse ever escape and run to safety? Modelling the cat The cat, C…

[ibmathsresources]

Aliquot sequence: An unsolved problem

Aliquot sequence: An unsolved problem At school students get used to the idea that we know all the answers in mathematics – but the aliquot sequence is a simple example of an unsolved problem in mathematics.  The code above (if run for long enough on a super-computer!) might be enough to disprove a conjecture about this sequence.  Let’s look at this sequence and the associated conjecture. Aliquot…

[ibmathsresources]

Time dependent gravity exploration

Time dependent gravity exploration In our universe we have a gravitational constant – i.e gravity is not dependent on time.  If gravity changed with respect to time then the gravitational force exerted by the Sun on Earth would lessen (or increase) over time with all other factors remaining the same. Interestingly time-dependent gravity was first explored by Dirac and some physicists have tried…

[ibmathsresources]

Cowculus - the farmer and the cow

Cowculus – the farmer and the cow The Numberphile video above is an excellent starting point for an investigation – so I thought I’d use this to extend the problem to a more general situation.  The simple case is as follows: A farmer is at point F and a cow at point C. There is a river represented by the line passing through 𝐴𝐵. The distance 𝐴𝐹 is 2km, the distance 𝐵𝐶 is 6km and the distance 𝐴𝐵…

[ibmathsresources]

Getting a 7 in IB Maths Coursework

Getting a 7 in IB Maths Coursework Are you a current IB student or IB teacher? Do you want to learn the tips and tricks to produce excellent Mathematics coursework? Gain the inside track on what makes a good coursework piece from an IB Maths Examiner as you learn all the skills necessary to produce something outstanding.  This course is written for current IB Mathematics students.  It is also…

[ibmathsresources]

Lissajous Curves: Roller Coasters

Roller Coaster design This post continues from the previous post on Lissajous Curves.  Make sure to read that one first! We can design a rollercoaster track by using the following Lissajous Curve: This gives the following graph: Ground level is given by the line y = −50. Distances are in metres and t is measured in seconds. Customers ride an elevator to the starting point (0,50) where the ride…

[ibmathsresources]

AI Masters Olympiad Geometry

AI Masters Olympiad Geometry The team behind Google’s Deep Mind have just released details of a new AI system:  AlphaGeometry This has been specifically trained to solve classical geometry problems – and already is now at the level of a Gold Medalist at the International Olympiad (considering only geometry problems).  This is an incredible achievement – as in order to solve classical geometry…