When is $7^n + 3^n$ a multiple of 10? Can you prove the result by two different methods?
Which is the bigger, 9^10 or 10^9 ? Which is the bigger, 99^100 or 100^99 ?
Take a look at the video showing squares and their diagonals...
Take a look at the video showing rhombuses drawn on dotty grids...
Take a look at the video showing areas of squares on a dotty grid...
Take a look at the video showing areas of different shapes on dotty grids...
Play the game to create squares. Can you find a strategy?
Use the applet to make some squares. What patterns do you notice in the coordinates?
What is special about the relationships between vectors that define a square?
Another solution was sent for the second question. No solutions for the last 2 questions.
Play the game. How many guesses do you need to find the robber?
Play the game. How many guesses do you need to find the Metagiff?
A cinema has 100 seats. Is it possible to fill every seat and take exactly £100?
Can you devise the most efficient strategy for finding the highest floor from which you can drop an egg safely?
In how many ways can I get upstairs?
How many different lengths is it possible to measure with a set of three rods?