## Advanced Mathematical Problem Solving Resources

## Introduction to Advanced Problem Solving

## How to Use Advanced Problem Solving

## Worked Examples

## Welcome to the NRICH Advanced Problem Solving pages.

## Advanced Problem Solving Module 1

Our first Advanced Problem Solving module provides a gentle introduction to being a problem-solver.

## Advanced Problem Solving Module 2

## Advanced Problem Solving Module 3

This Advanced Problem Solving module introduces some important aspects of mathematical proof.

## Advanced Problem Solving Module 4

Our fourth module aims to give you a clearer understanding of the concepts underpinning calculus.

## Advanced Problem Solving Module 5

Our fifth module explains some key calculus skills.

## Advanced Problem Solving Module 6

In our sixth Advanced Problem Solving module, clever substitutions are the key to solving problems.

## Advanced Problem Solving Module 7

This module contains advice and resources to help you prepare for university interviews.

## Advanced Problem Solving Module 8

This module will help you to improve your trigonometry skills and understanding.

## Advanced Problem Solving Module 9

In this module, you will learn about proof by induction and apply it to STEP questions.

## Advanced Problem Solving Module 10

This module highlights the importance of integration.

## Advanced Problem Solving Module 11

This module offers advice and practice on how to sketch graphs.

## Advanced Problem Solving Module 12

This module looks at how to solve problems involving vectors.

## Advanced Problem Solving Module 13

This module helps you to understand how to approach advanced geometry questions.

## Advanced Problem Solving Module 14

This module explores what you need to know in order to tackle advanced Mechanics questions.

## Advanced Problem Solving Module 15

## Advanced Problem Solving Module 16

In this module, we explore how to tackle advanced Probability questions.

## Advanced Problem Solving Module 17

This module offers advice and practice on dealing with questions involving Differential Equations.

## Advanced Problem Solving Module 18

This module covers some techniques for dealing with complex numbers.

## Advanced Problem Solving Module 19

## Advanced Problem Solving Module 20

This module looks at some of the things you need to understand about polar coordinates.

## Advanced Problem Solving Module 21

This module offers advice on getting your head round "unusual" questions.

## Advanced Problem Solving Module 22

This module looks at hyperbolic functions.

## Advanced Problem Solving Module 23

This module looks at some of the key concepts involving series and sums.

## IMAGES

## VIDEO

## COMMENTS

This feature details how NRICH can help you embed a problem-solving approach in your classroom.

The short problems are easy to state and fascinating to solve. The content is aimed at the lower secondary level, but will give a dose of mathematical

Want to become a more curious, resourceful, resilient and collaborative mathematician? We've collected together some of our favourite problems to help you along

The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions

This challenge involves eight three-cube models made from interlocking cubes. ... can you solve to find the equation followed by the front wheel?

We have chosen these problems because they are ideal for consolidating and assessing subject knowledge, mathematical thinking and problem-solving skills.

The Nrich Maths Project Cambridge,England. Mathematics resources for children,parents and teachers to enrich learning. Problems,children's solutions

Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills.

Challenge Level. When I went into a classroom earlier this week a child rushed up to tell me she was 8 that day. Well, Happy Birthday to everyone who has a

The 24 modules below begin with general problem-solving skills and gradually introduce new techniques, ideas and advice to help you to solve advanced problems.