Liam's house has a staircase with 12 steps. He can go down the steps one at a time or two at time. In how many different ways can Liam go down the 12 steps?

Place the numbers 1 to 8 in the circles so that no consecutive numbers are joined by a line.

Arrange three 1s, three 2s and three 3s in this square so that every row, column and diagonal adds to the same total.

Using the numbers 1, 2, 3, 4 and 5 once and only once, and the operations x and ÷ once and only once, what is the smallest whole number you can make?

10 intriguing starters related to the mechanics of sport.

An interactive game for 1 person. You are given a rectangle with 50 squares on it. Roll the dice to get a percentage between 2 and 100. How many squares is this? Keep going until you get 100. . . .

Anna, Bridget and Carol run a race. Can you work out where Carol was when Anna finished?

Repeat a pattern of numbers to form a larger number. Can you find the sum of all the digits?

Weekly Problem 22 - 2010

Can you form this 2010-digit number...

The computer starts with all the lights off, but then clicks 3, 4 or 5 times at random, leaving some lights on. Can you switch them off again?

A holding page for the resources and links from the first stemNRICH TI day for 2012-13.