List

More Low Threshold High Ceiling Tasks

I'm Eight
problem
Favourite

I'm Eight

Age
5 to 11
Challenge level
filled star empty star empty star
Find a great variety of ways of asking questions which make 8.
Strike it out
problem
Favourite

Strike it Out

Age
5 to 11
Challenge level
filled star empty star empty star

Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Dotty Six
problem
Favourite

Dotty Six

Age
5 to 11
Challenge level
filled star empty star empty star

Dotty Six is a simple dice game that you can adapt in many ways.

Seeing Squares
problem
Favourite

Seeing Squares

Age
5 to 11
Challenge level
filled star empty star empty star

Players take it in turns to choose a dot on the grid. The winner is the first to have four dots that can be joined to form a square.

Next-door Numbers
problem

Next-door Numbers

Age
5 to 7
Challenge level
filled star empty star empty star
Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
Eightness of Eight
problem
Favourite

Eightness of Eight

Age
5 to 7
Challenge level
filled star empty star empty star
What do you see as you watch this video? Can you create a similar video for the number 12?
Unexpected Ordering
problem

Unexpected Ordering

Age
5 to 7
Challenge level
filled star empty star empty star
Watch the video of Fran re-ordering these number cards. What do you notice? Try it for yourself. What happens?
Digit Addition
problem
Favourite

Digit Addition

Age
5 to 11
Challenge level
filled star empty star empty star

Try out this number trick. What happens with different starting numbers? What do you notice?

Ring a Ring of Numbers
problem
Favourite

Ring a Ring of Numbers

Age
5 to 7
Challenge level
filled star filled star empty star
Choose four of the numbers from 1 to 9 to put in the squares so that the differences between joined squares are odd.
School fair necklaces
problem
Favourite

School fair necklaces

Age
5 to 11
Challenge level
filled star filled star empty star
How many possible symmetrical necklaces can you find? How do you know you've found them all?
Number Differences
problem
Favourite

Number Differences

Age
7 to 11
Challenge level
filled star empty star empty star
Place the numbers from 1 to 9 in the squares below so that the difference between joined squares is odd. How many different ways can you do this?
Magic Vs
problem
Favourite

Magic Vs

Age
7 to 11
Challenge level
filled star empty star empty star

Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Subtraction Surprise
problem
Favourite

Subtraction Surprise

Age
7 to 14
Challenge level
filled star empty star empty star
Try out some calculations. Are you surprised by the results?
Surprising Split
problem

Surprising Split

Age
7 to 11
Challenge level
filled star empty star empty star

Does this 'trick' for calculating multiples of 11 always work? Why or why not?

Consecutive Numbers
problem
Favourite

Consecutive Numbers

Age
7 to 14
Challenge level
filled star empty star empty star

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.