Year 8 Being resilient

Play the divisibility game to create numbers in which the first two digits make a number divisible by 2, the first three digits make a number divisible by 3...

How many moves does it take to swap over some red and blue frogs? Do you have a method?

Draw some isosceles triangles with an area of $9$cm$^2$ and a vertex at (20,20). If all the vertices must have whole number coordinates, how many is it possible to draw?

A country has decided to have just two different coins. Which totals can be made? Is there a largest total that cannot be made? How do you know?

What happens when you add a three digit number to its reverse?

Charlie and Abi put a counter on 42. They wondered if they could visit all the other numbers on their 1-100 board, moving the counter using just these two operations: x2 and -5. What do you think?

Charlie and Alison have been drawing patterns on coordinate grids. Can you picture where the patterns lead?

Using your knowledge of the properties of numbers, can you fill all the squares on the board?

Here is a machine with four coloured lights. Can you develop a strategy to work out the rules controlling each light?

Sequences of multiples keep cropping up...

Four friends must cross a bridge. How can they all cross it in just 17 minutes?