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
filled star empty star empty star
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
filled star filled star empty star

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.