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

Functions & Graphs: Age 11-14


This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Treasure Hunt

Age 7 to 14
Challenge Level Yellow star

Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?

Reflecting Lines

Age 11 to 14
Challenge Level Yellow star

Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.

Translating Lines

Age 11 to 14
Challenge Level Yellow star

Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.

How Steep Is the Slope?

Age 11 to 14
Challenge Level Yellow star

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Parallel Lines

Age 11 to 14
Challenge Level Yellow star

How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?

Diamond Collector

Age 11 to 16
Challenge Level Yellow star

Collect as many diamonds as you can by drawing three straight lines.

How Far Does it Move?

Age 11 to 14
Challenge Level Yellow star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects the distance it travels at each stage.

Maths Filler

Age 11 to 14
Challenge Level Yellow starYellow star

Imagine different shaped vessels being filled. Can you work out what the graphs of the water level should look like?

Speeding Up, Slowing Down

Age 11 to 14
Challenge Level Yellow starYellow star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the red dot affects its speed at each stage.

Route to Infinity

Age 11 to 14
Challenge Level Yellow starYellow star

Can you describe this route to infinity? Where will the arrows take you next?

Fill Me Up

Age 11 to 14
Challenge Level Yellow starYellow star

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Up and Across

Age 11 to 14
Challenge Level Yellow starYellow starYellow star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Functions and Graphs - Short Problems

Age 11 to 16

A collection of short problems on straight line graphs.



 
You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.
  • 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