Conjecturing and generalising

Can you complete this calculation by filling in the missing numbers? In how many different ways can you do it?

What two-digit numbers can you make with these two dice? What can't you make?

In this game for two players, the idea is to take it in turns to choose 1, 3, 5 or 7. The winner is the first to make the total 37.

What is the units digit of the given expression?

What is the value of $2015 \times 2017 - 2016 \times 2016$?

Tom and Ben visited Numberland. Use the maps to work out the number of points each of their routes scores.

Imagine a very strange bank account where you are only allowed to do two things...

This challenge asks you to imagine a snake coiling on itself.

Find a route from the outside to the inside of this square, stepping on as many tiles as possible.

Is there a relationship between the coordinates of the endpoints of a line and the number of grid squares it crosses?