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 13 - A Storm in a Tea Cup

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

This activity follows on from World of Tan 12 - All in a Fluff.

The peaceful tea break at Granma T's is being transformed into a scene that could be from a pantomime. Wai Ping and Wu Ming, two of the workers, are arguing with each other...

Wai Ping: It sticks out.

Wu Ming: No, it goes in.

Wai Ping: Out!

Wu Ming: In! I'll prove it by asking the others.

Mah Ling is the first to come in for her break, and she is immediately stopped by the workers.

Wai Ping: Does concave mean going in or sticking out?

Mah Ling: It goes in like a cave, that's why it's called concave.

Having previous experience of similar arguments, she hastily retreats to the peace and quiet of her office for the rest of her break.

Granma T enters the room for her break and also gets waylaid by the Wai Ping and Wu Ming.

Wu Ming: Does concave mean going inwards or outwards? In or out?

Granma T swears that she will buy a dictionary next time she is in town because these arguments are getting too frequent. Without answering the question, she too disappears into Mah Ling's office and shuts the door firmly.

Only the children remain to be interrogated and they won't be home from school for a while yet.

Throughout the day the yard echoes to the cousins arguing.

So in the meantime, while waiting for the children to settle the argument once and for all, complete the silhouettes of the two convex shapes that can be made.




Extra activities:

  • Find out what the words 'convex' and 'concave' mean. Can you explain these two ideas to a friend or family member?
  • Make a collection of things that are concave or convex. Can you find anything that's both concave and convex?
  • Investigate when convex or concave lenses and mirrors are used, and find out why they are helpful.

World of Tan continues in World of Tan 14 - Celebrations.


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