Representing - Upper Secondary

Odds and Evens

Stage: 3 and 4 Challenge Level: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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

Polar Bearings

Stage: 5 Challenge Level: Challenge Level:1

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

Trig Reps

Stage: 5 Challenge Level: Challenge Level:1

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: Challenge Level:1

Use functions to create minimalist versions of works of art.

Maths Shop Window

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Hyperbolic Thinking

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

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

Sheep in Wolf's Clothing

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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.

Representing - Short Problems

Stage: 3 and 4

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