Outline of stemNRICH

Age 14 to 18 Challenge Level:

stemNRICH consists of 4 applications nodes and 2 mathematics nodes, as shown in the table and diagram below. Although the problems are located in discrete nodes, there is some natural overlap between the various areas, particularly chemistry/biology and physics/engineering.

At a basic level, all problems refer to GCSE level concepts in science and mathematics, although concepts from A-level mathematics and science will be needed in places.

Most problems come equipped with a solution, hint and teachers' notes pages. There is a wide range of activity-types, so you are sure to practise a variety of mathematical skills.

Core Maths

GCSE mathematics concepts


GCSE chemistry needed
A-level chemistry needed in places


GCSE biology needed
A-level biology needed in places
  • Numbers
  • Algebra, equations and graphs
  • Curve fitting and sketching
  • Approximations and estimations
  • Powers and roots
  • Data handling
  • Trigonometry
  • Units
  • Numerical methods, spreadsheets and IT
  • General mathematics

  • Proportional reasoning
  • Dilutions
  • Logarithms and pH
  • Measurement and estimation
  • Reaction kinetics
  • Gases
  • Bonds and crystals
  • Enthalpy
  • Moles and molarity
  • Advanced mathematics in chemistry
  • Articles
  • Basic maths in biology
  • Measurement and estimation
  • Graphs and equations
  • Statistics in biology
  • Moles and molarity
  • Dilutions
  • DNA and Genetics
  • Shapes
  • Advanced mathematics in biology
  • Articles

Advanced Maths

A-level mathematics needed
A-level further mathematics needed in places


A-level physics and mathematics needed
A-level further mathematics needed in places


A-level physics and mathematics needed
A-level further mathematics needed in places
  • Rates of change
  • Curves
  • Calculus
  • Differential equations
  • Series and expansions
  • Powers, roots and logarithms
  • Probability and distributions
  • Statistics
  • Trigonometry
  • Geometry and symmetry
  • Complex numbers
  • Vectors
  • Vectors and matrices
  • Numerical methods
  • General mathematics
  • General
  • Dynamics
  • Gravitation
  • Units in physics
  • Power, work and energy in physics
  • Atoms and particles
  • Electricity
  • Fluids
  • Gas laws and thermodynamics
  • Waves and oscillations
  • Advanced mathematics in physics
  • Articles
  • Dynamics
  • Structural engineering
  • Digital circuits and logic
  • Decisions, logistics and control
  • Mechanical engineering
  • Power, work and energy in engineering
  • Fluid mechanics
  • Electrical engineering
  • Advanced mathematics in engineering
  • Articles