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Cut it Out

Can you dissect an equilateral triangle into 6 smaller ones? What number of smaller equilateral triangles is it NOT possible to dissect a larger equilateral triangle into?

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Zios and Zepts

On the planet Vuv there are two sorts of creatures. The Zios have 3 legs and the Zepts have 7 legs. The great planetary explorer Nico counted 52 legs. How many Zios and how many Zepts were there?

Count Me In

Age 7 to 11 Challenge Level:

  


Which of these numbers would you come to when counting in sixes from zero?
How do you know?

Would you get to some of these numbers if you were counting in sevens from zero? Which ones?
Can you explain how you arrived at your answers?

Could some of these numbers be reached if you were counting in nines from zero? Which ones?
Again, how do you know?

Would your answers be the same if you counted in the same step sizes but down from 350 in each case?
How do you know?



 

Looking at the image above and this time counting in 25s from zero, which numbers will you land on?  
If you were counting in 25s from 10, which numbers would you land on this time?  How can you work this out without actually counting?