Square Surprise
Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Why do you think that the red player chose that particular dot in this game of Seeing Squares?
Investigate the different distances of these car journeys and find out how long they take.
In this problem we are looking at sets of parallel sticks that cross each other. What is the least number of crossings you can make? And the greatest?
Investigate the different distances of these car journeys and find out how long they take.
What is the date in February 2002 where the 8 digits are palindromic if the date is written in the British way?
Follow the directions for circling numbers in the matrix. Add all the circled numbers together. Note your answer. Try again with a different starting number. What do you notice?
Can you find out how the 6-triangle shape is transformed in these tessellations? Will the tessellations go on for ever? Why or why not?
Compare the numbers of particular tiles in one or all of these three designs, inspired by the floor tiles of a church in Cambridge.
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.
How many different journeys could you make if you were going to visit four stations in this network? How about if there were five stations? Can you predict the number of journeys for seven stations?