List

Low Threshold High Ceiling Tasks

Four Triangles Puzzle
problem
Favourite

Four Triangles Puzzle

Age
5 to 11
Challenge level
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Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?

Totality
problem
Favourite

Totality

Age
5 to 11
Challenge level
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This is an adding game for two players. Can you be the first to reach the target?
Sizing them Up
problem
Favourite

Sizing them Up

Age
5 to 7
Challenge level
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Can you put these shapes in order of size? Start with the smallest.

Sort the Street
problem
Favourite

Sort the Street

Age
5 to 7
Challenge level
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Sort the houses in my street into different groups. Can you do it in any other ways?

Inside Triangles
problem
Favourite

Inside Triangles

Age
5 to 7
Challenge level
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How many different triangles can you draw on the dotty grid which each have one dot in the middle?
Poly Plug Rectangles
problem
Favourite

Poly Plug Rectangles

Age
5 to 11
Challenge level
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The computer has made a rectangle and will tell you the number of spots it uses in total. Can you find out where the rectangle is?
How Many?
problem
Favourite

How Many?

Age
5 to 11
Challenge level
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Have a look at these photos of different fruit. How many do you see? How did you count?
Noah
problem
Favourite

Noah

Age
5 to 7
Challenge level
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Noah saw 12 legs walk by into the Ark. How many creatures did he see?
Nine-Pin Triangles
problem
Favourite

Nine-Pin Triangles

Age
7 to 11
Challenge level
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How many different triangles can you make on a circular pegboard that has nine pegs?

tiling
problem

tiling

Age
7 to 11
Challenge level
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An investigation that gives you the opportunity to make and justify predictions.
Magic Crosses
problem

Magic Crosses

Age
7 to 14
Challenge level
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Can you find examples of magic crosses? Can you find all the possibilities?

Neighbourly Addition
problem

Neighbourly Addition

Age
7 to 14
Challenge level
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I added together some of my neighbours' house numbers. Can you explain the patterns I noticed?
Reach 100
problem
Favourite

Reach 100

Age
7 to 11
Challenge level
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Choose four different digits from 1-9 and put one in each box so that the resulting four two-digit numbers add to a total of 100.