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Mathematical Preparation for the Cambridge Natural Sciences Tripos

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