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

World of Tan 30 - Logical Thinking

Age 7 to 11
Challenge Level Yellow starYellow star
  • Problem
  • Teachers' Resources

This activity, the last in the World of Tan series, follows on from World of Tan 29 - The Telephone.

Thinking logically is what Little Ming and Little Fung try to do all the time! This is when you solve a problem step by step, checking that each step makes sense. You try different ways of solving the problem, and if one choice doesn't work then you try the next one instead. If you get stuck, think about what you've already tried - what do you still have left to try? Write down all the things that you know already - can you use any of those as a stepping stone to finding a solution?

There are lots of games and activities you can enjoy which will make use of logical thinking. Have a look at other pages on this website for more ideas.

Try to logically construct both of these silhouettes. Does anything surprise you about the similarities and differences in the solutions?



Extra activities:
  • Think about a time when you were trying to solve a problem and you got stuck. How did you get 'un-stuck'? What or who helped you? How?
  • Have a go at the activities in these lists, using sentences like 'I think... because...' to explain your logic to a friend.

You may also like

Construct-o-straws

Make a cube out of straws and have a go at this practical challenge.

Matchsticks

Reasoning about the number of matches needed to build squares that share their sides.

Little Boxes

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

  • 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