Sticky Numbers
Age 11 to 14 Challenge Level:
Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?
Calendar Capers
Age 11 to 14 Challenge Level:
Choose any three by three square of dates on a calendar page...
Odds and Evens
Age 11 to 14 Challenge Level:
Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?
Searching for Mean(ing)
Age 11 to 14 Challenge Level:
Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?
Vector Journeys
Age 14 to 18 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.
Hyperbolic Thinking
Age 16 to 18 Challenge Level:
Explore the properties of these two fascinating functions using trigonometry as a guide.
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
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?
NRICH is part of the family of activities in the Millennium Mathematics Project.