Visualising and representing
problem
Crawl Around the Cube
Weekly Problem 37 - 2010
An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
An ant is crawling around the edges of a cube. From the description of his path, can you predict when he will return to his starting point?
problem
Don't Be Late
Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.
problem
28 - upward and onward
Can you find ways of joining cubes together so that 28 faces are visible?
problem
Painted Purple
Three faces of a $3 \times 3$ cube are painted red, and the other three are painted blue. How many of the 27 smaller cubes have at least one red and at least one blue face?
problem
Island Hopping
What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
problem
Mystic Rose
Use the animation to help you work out how many lines are needed to draw mystic roses of different sizes.