![100 Square Jigsaw](/sites/default/files/styles/medium/public/thumbnails/content-id-5572-icon.png?itok=ISTw0b-4)
Arithmetic sequences
![100 Square Jigsaw](/sites/default/files/styles/medium/public/thumbnails/content-id-5572-icon.png?itok=ISTw0b-4)
![Tables Without Tens](/sites/default/files/styles/medium/public/thumbnails/content-id-4905-icon.jpg?itok=iyWfeB8e)
problem
Tables Without Tens
Investigate and explain the patterns that you see from recording
just the units digits of numbers in the times tables.
![Squares in rectangles](/sites/default/files/styles/medium/public/thumbnails/content-id-4835-icon.png?itok=WIB6uV96)
problem
Squares in rectangles
A 2 by 3 rectangle contains 8 squares and a 3 by 4 rectangle
contains 20 squares. What size rectangle(s) contain(s) exactly 100
squares? Can you find them all?
![Coordinate Patterns](/sites/default/files/styles/medium/public/thumbnails/content-id-2292-icon.png?itok=tWsgfytK)
problem
Coordinate Patterns
Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?
![Seven Squares - Group-worthy Task](/sites/default/files/styles/medium/public/thumbnails/content-id-2290-icon.png?itok=onTztJr5)
problem
Seven Squares - Group-worthy Task
Choose a couple of the sequences. Try to picture how to make the next, and the next, and the next... Can you describe your reasoning?
![More Number Pyramids](/sites/default/files/styles/medium/public/thumbnails/content-id-2282-icon.png?itok=cOeJ9xeH)
problem
More Number Pyramids
When number pyramids have a sequence on the bottom layer, some interesting patterns emerge...
![Squares, Squares and More Squares](/sites/default/files/styles/medium/public/thumbnails/content-03-04-six4-icon.gif?itok=M6RVGfP_)
problem
Squares, Squares and More Squares
Can you dissect a square into: 4, 7, 10, 13... other squares? 6, 9,
12, 15... other squares? 8, 11, 14... other squares?
![Polite Numbers](/sites/default/files/styles/medium/public/thumbnails/content-02-11-15plus1-icon.jpg?itok=JXd35yh7)
problem
Polite Numbers
A polite number can be written as the sum of two or more consecutive positive integers, for example 8+9+10=27 is a polite number. Can you find some more polite, and impolite, numbers?
![Cherries Come in Twos](/sites/default/files/styles/medium/public/thumbnails/content-04-01-penta1-icon.gif?itok=EOmKduoP)
problem
Cherries Come in Twos
Susie took cherries out of a bowl by following a certain pattern.
How many cherries had there been in the bowl to start with if she
was left with 14 single ones?
![Six in a Circle](/sites/default/files/styles/medium/public/thumbnails/content-03-12-penta5-icon.gif?itok=LjSC2Snk)
problem
Six in a Circle
If there is a ring of six chairs and thirty children must either
sit on a chair or stand behind one, how many children will be
behind each chair?