List

Low threshold high ceiling tasks

Inside Triangles
problem

Inside triangles

Age
5 to 7
Challenge level
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How many different triangles can you draw which each have one dot in the middle?

problem

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

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?
problem

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

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

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

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?

problem

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?

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?
Nine-Pin Triangles
problem

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?

Reach 100
problem

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.