The tasks below provide opportunities for learners to get better at generalising.
Largest even
How would you create the largest possible two-digit even number from the digit I've given you and one of your choice?
Nim-7
How odd
This problem challenges you to find out how many odd numbers there are between pairs of numbers. Can you find a pair of numbers that has four odds between them?
Ring a ring of numbers
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
Lots of lollies
Frances and Rishi were given a bag of lollies. They shared them out evenly and had one left over. How many lollies could there have been in the bag?
Stop the clock
This is a game for two players. Can you find out how to be the first to get to 12 o'clock?
Magic Vs
Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?
Three dice
Investigate the sum of the numbers on the top and bottom faces of a line of three dice. What do you notice?
Got it
A game for two people, or play online. Given a target number, say 23, and a range of numbers to choose from, say 1-4, players take it in turns to add to the running total to hit their target.
Button-up some more
How many ways can you find to do up all four buttons on my coat? How about if I had five buttons? Six ...?