Here we provide a set of stemNRICH problems designed to develop your scientific mathematical skill based around the mathematics covered in the Core Workout. These problems are roughly grouped into subject area but there is a natural overlap between some of these areas. These problems are
relatively subject-agnostic -- not particularly directed towards chemistry, physics or biology. You might wish to look at bioNRICH, physNRICH or chemNRICH for mathematical activities focussed on areas of particular interest to you.
If you need any help, please go to the main stemNRICH page for support.
If you manage to complete all of them then you are well on the road toward being a great scientist!
| CORE MATHEMATICS | FUNCTIONS AND CURVES | GEOMETRY |
| Big & small numbers in biology / physics Investigating the dilution series Mixing pH Debt race |
Reaction types Implicitly Curve fitter 2 Scientific Curves |
Efficient Packing Pack Man Coordinated Crystals Perfect Eclipse |
| TRIGONOMETRY | SEQUENCES AND SERIES | VECTORS |
| Far horizon Flight path Loch Ness Spherical triangles on very big spheres |
Production equation What do these functions do for tiny x? Taking trigonometry series-ly Stirling Work |
Vector Walk Coordinated crystals Bond angles Cross with the scalar product |
| DIFFERENTIATION and INTEGRATION | DIFFERENTIAL EQUATIONS | OTHER THINGS TO TRY |
| Calculus Countdown Integration matcher Operating machines Brimful 2 |
Differential equation matcher Reaction rates The not-so-simple pendulum 1 The real hydrogen atom |
Backfiitter Crystal symmetry Stats statements An introduction to complex numbers |