Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Starting with two basic vector steps, which destinations can you reach on a vector walk?

What on earth are polar coordinates, and why would you want to use them?

Can you deduce the familiar properties of the sine and cosine functions starting from these three different mathematical representations?

Use functions to create minimalist versions of works of art.

Make a functional window display which will both satisfy the manager and make sense to the shoppers

Explore the properties of these two fascinating functions using trigonometry as a guide.

Can you work out what simple structures have been dressed up in these advanced mathematical representations?

Weekly Problem 43 - 2014

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

Weekly Problem 50 - 2014

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

Weekly Problem 7 - 2015

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?

Weekly Problem 51 - 2017

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?

A collection of short Stage 3 and 4 problems on Representing.