Skip to main content
Links to the University of Cambridge website
Links to the NRICH website Home page
Live problems for students
Primary
|
Secondary
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
Site search
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
Mathematical mindsets
For younger learners
Early Years Foundation Stage
Advanced mathematics
Decision Mathematics and Combinatorics
Advanced Probability and Statistics
Mechanics
Calculus
Root to Success
Whether you're working with geometry or trigonometry or solving quadratic equations, being able to manipulate surds is a really useful skill. We hope this set of square root problems are met with a big tick!
Fit for Photocopying
Age
14 to 16
Challenge Level
Explore the relationships between different paper sizes.
The Root of the Problem
Age
14 to 18
Challenge Level
Find the sum of this series of surds.
Irrational Arithmagons
Age
16 to 18
Challenge Level
Can you work out the irrational numbers that belong in the circles to make the multiplication arithmagon correct?
Related
Powers and Roots
Indices and Surds