Number - September 2007, Stage 2&3

Problems

problem icon

Venn Diagrams

Stage: 1 and 2 Challenge Level: Challenge Level:1

Use the interactivities to complete these Venn diagrams.

problem icon

Mobile Numbers

Stage: 1 and 2 Challenge Level: Challenge Level:1

In this investigation, you are challenged to make mobile phone numbers which are easy to remember. What happens if you make a sequence adding 2 each time?

problem icon

More Carroll Diagrams

Stage: 2 Challenge Level: Challenge Level:1

How have the numbers been placed in this Carroll diagram? Which labels would you put on each row and column?

problem icon

Various Venns

Stage: 2 Challenge Level: Challenge Level:1

Use the interactivities to complete these Venn diagrams.

problem icon

Alien Counting

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

Investigate the different ways these aliens count in this challenge. You could start by thinking about how each of them would write our number 7.

problem icon

Factors and Multiples Puzzle

Stage: 3 Challenge Level: Challenge Level:1

A challenge that requires you to apply your knowledge of the properties of numbers. Can you fill all the squares on the board?

problem icon

The Cantor Set

Stage: 3 Challenge Level: Challenge Level:2 Challenge Level:2

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you picture it?

problem icon

How Long Is the Cantor Set?

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

Take a line segment of length 1. Remove the middle third. Remove the middle thirds of what you have left. Repeat infinitely many times, and you have the Cantor Set. Can you find its length?