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
Finding Your Feet
Whether you are starting A Levels, Highers, International Baccalaureate, or another higher maths qualification, it might take a while to find your feet.
These problems use familiar ideas from Stage 4 to help you to find a way in.
Between
Age
16 to 18
Challenge Level
If you know some points on a line, can you work out other points in between?
Name That Graph
Age
16 to 18
Challenge Level
How can you work out the equation of a parabola just by looking at key features of its graph?
Which Fraction Is Bigger?
Age
16 to 18
Challenge Level
Given two algebraic fractions, how can you decide when each is bigger?
Paired Parabolas
Age
16 to 18
Challenge Level
Some parabolas are related to others. How are their equations and graphs connected?
Related
Curriculum Content
Developing as Mathematicians