Skip to main content
### Number and algebra

### Geometry and measure

### Probability and statistics

### Working mathematically

### For younger learners

### Advanced mathematics

# Mathematical Preparation for the Cambridge Natural Sciences Tripos

## Related Collections

## You may also like

### Prepare for University - Mathematical Biology

### Prepare for University - Mathematical Chemistry

Or search by topic

Age 16 to 18

Challenge Level

These stemNRICH problems are designed to develop the scientific mathematical skill of students hoping to study Natural Sciences at Cambridge, and will also be very useful for prospective science students of other university courses. The problems are roughly grouped into subject area according to the workbook, although 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.

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 |
Backfitter Crystal symmetry Stats statements An introduction to complex numbers |

Helpful preparation for university for those intending to study biological sciences.

10 of our best problems to help you prepare to study chemistry at university.