# Representing - Upper Secondary

### Odds and Evens

##### Stage: 3 and 4 Challenge Level:

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

### Vector Journeys

##### Stage: 4 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

##### Stage: 4 and 5 Challenge Level:

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

### Polar Bearings

##### Stage: 5 Challenge Level:

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

### Trig Reps

##### Stage: 5 Challenge Level:

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

### Painting by Functions

##### Stage: 5 Challenge Level:

Use functions to create minimalist versions of works of art.

### Maths Shop Window

##### Stage: 5 Challenge Level:

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

### Hyperbolic Thinking

##### Stage: 5 Challenge Level:

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

### Sheep in Wolf's Clothing

##### Stage: 5 Challenge Level:

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

### Pyramidal N-gon

##### Stage: 3 and 4 Short Challenge Level:

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?

### Shilling Tuppence

##### Stage: 3 and 4 Short Challenge Level:

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?

### Product and Sum

##### Stage: 3 and 4 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

##### Stage: 3 and 4 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?

### Representing - Short Problems

##### Stage: 3 and 4

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