# Representing - Upper Secondary

### Vector Journeys

##### Age 14 to 16 Challenge Level:

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?

### Vector Walk

##### Age 14 to 18 Challenge Level:

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

### Polar Bearings

##### Age 16 to 18 Challenge Level:

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

### Trig Reps

##### Age 16 to 18 Challenge Level:

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

### Painting by Functions

##### Age 16 to 18 Challenge Level:

Use functions to create minimalist versions of works of art.

### Maths Shop Window

##### Age 16 to 18 Challenge Level:

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

### Hyperbolic Thinking

##### Age 16 to 18 Challenge Level:

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

### Sheep in Wolf's Clothing

##### Age 16 to 18 Challenge Level:

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

### Product and Sum

##### Age 11 to 16 Short Challenge Level:

Weekly Problem 7 - 2015
When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?

### Doubly Consecutive Sums

##### Age 14 to 16 Short Challenge Level:

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?