Skip over navigation
Cambridge University Faculty of Mathematics NRich logo
menu search
  • Teachers expand_more
    • Early years
    • Primary
    • Secondary
    • Post-16
    • Events
    • Professional development
  • Students expand_more
    • Primary
    • Secondary
    • Post-16
  • Parents expand_more
    • Early Years
    • Primary
    • Secondary
    • Post-16
  • Problem-Solving Schools
  • About NRICH expand_more
    • About us
    • Impact stories
    • Support us
    • Our funders
    • Contact us
  • search

Or search by topic

Number and algebra

  • The Number System and Place Value
  • Calculations and Numerical Methods
  • Fractions, Decimals, Percentages, Ratio and Proportion
  • Properties of Numbers
  • Patterns, Sequences and Structure
  • Algebraic expressions, equations and formulae
  • Coordinates, Functions and Graphs

Geometry and measure

  • Angles, Polygons, and Geometrical Proof
  • 3D Geometry, Shape and Space
  • Measuring and calculating with units
  • Transformations and constructions
  • Pythagoras and Trigonometry
  • Vectors and Matrices

Probability and statistics

  • Handling, Processing and Representing Data
  • Probability

Working mathematically

  • Thinking mathematically
  • Developing positive attitudes
  • Cross-curricular contexts

Advanced mathematics

  • Decision Mathematics and Combinatorics
  • Advanced Probability and Statistics
  • Mechanics
  • Calculus

For younger learners

  • Early Years Foundation Stage

Substitution Transposed

Age 11 to 16
Challenge Level Yellow starYellow starYellow star
  • Problem
  • Getting Started
  • Student Solutions
  • Teachers' Resources

Why do this problem?

Together with the Secondary Cipher Challenge, this problem provides a challenging follow-up for students who have worked on Substitution Cipher and Transposition Cipher.

 

Possible approach

As this problem is quite challenging, it could be offered as an extension for those students who have sailed through the easier codebreaking problems.

If a whole class is going to work on the problem, they could work in small groups and share out responsibility for checking different transposition arrangements for each likely substitution.

If a computer room is available, introduce students to the Cipher Challenge Toolkit and give them plenty of time to explore it and learn how to use the tools.

 

Possible extension

The Stage 5 Cipher Challenge offers a set of seven very difficult linked ciphers to crack.

Possible support

Spend plenty of time working on and discussing the separate Substitution and Transposition problems before trying this one.

You may also like

The Best Card Trick?

Time for a little mathemagic! Choose any five cards from a pack and show four of them to your partner. How can they work out the fifth?

Substitution Cipher

Find the frequency distribution for ordinary English, and use it to help you crack the code.

Secret Transmissions

How can Agent X transmit data on a faulty line and be sure that her message will get through?

  • Tech help
  • Accessibility Statement
  • Sign up to our newsletter
  • Twitter X logo

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

University of Cambridge logo NRICH logo