List

More Low Threshold High Ceiling Tasks

Eightness of Eight
problem
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Eightness of Eight

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

Age
5 to 11
Challenge level
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Try out this number trick. What happens with different starting numbers? What do you notice?

I'm Eight
problem
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I'm Eight

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

Age
5 to 11
Challenge level
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Use your addition and subtraction skills, combined with some strategic thinking, to beat your partner at this game.

Dotty Six
problem
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Dotty Six

Age
5 to 11
Challenge level
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Dotty Six is a simple dice game that you can adapt in many ways.

Seeing Squares
problem
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Seeing Squares

Age
5 to 11
Challenge level
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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
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Florence, Ethan and Alma have each added together two 'next-door' numbers. What is the same about their answers?
Ring a Ring of Numbers
problem
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Ring a Ring of Numbers

Age
5 to 7
Challenge level
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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
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School fair necklaces

Age
5 to 11
Challenge level
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How many possible symmetrical necklaces can you find? How do you know you've found them all?
Surprising Split
problem

Surprising Split

Age
7 to 11
Challenge level
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Does this 'trick' for calculating multiples of 11 always work? Why or why not?

Consecutive Numbers
problem
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Consecutive Numbers

Age
7 to 14
Challenge level
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An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

Number Differences
problem
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Number Differences

Age
7 to 11
Challenge level
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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
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Magic Vs

Age
7 to 11
Challenge level
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Can you put the numbers 1-5 in the V shape so that both 'arms' have the same total?

Subtraction Surprise
problem
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Subtraction Surprise

Age
7 to 14
Challenge level
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Try out some calculations. Are you surprised by the results?