Shape and space puzzles
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Triangle star
answer
How many triangles do you see in this picture?
go
Triangle star
go
Triangle pentagram
go
Quadrilateral pentagram
go
Reflection counters
go
Quadrilateral dot-to-dot
go
Quadrilateral hexagon
go
Overlapping squares
go
Triangle sticks
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Contents
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Triangle star
Triangle star – answer
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Triangle pentagram
answer
How many triangles can you find in this
picture?
x6
x 12
x2
total triangles = 12 + 6 + 2 = 20
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Triangle star –answer
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Triangle pentagram
Triangle pentagram – answer
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Quadrilateral pentagram
answer
How many quadrilaterals can you find in this
picture? Can you name them?
x5
x5
x5
x5
x5
x5
total triangles = 7 x 5 = 35
x5
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Triangle pentagram – answer
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Quadrilateral pentagram
1
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Quadrilateral pentagram
– answer
next
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Reflection counters
answer
By moving only three counters,
to this.
change this
trapezium x 5
trapezium x 5
parallelogram x 5
arrowhead x 5
kite x 5
(these counters are moveable if you
wish to play on screen)
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Quadrilateral pentagram – answer
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Reflection counters
– answer
Reflection counters
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Quadrilateral dot-to-dot
answer
The points around this circle are equally
spaced. Find different ways to join the points to
make different quadrilaterals. Which
quadrilaterals can you make? How many of
each type can you find?
(printed sheet available)
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Reflection counters – answer
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Quadrilateral dot-to-dot
– answer
rectangle x 3
Quadrilateral dot-to-dot
next
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Quadrilateral hexagon
answer
Using any of the dotted lines shown in this
regular hexagon, how many different
quadrilaterals can you make? How many of
each type can you find?
trapezium x 6
kite x 6
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Quadrilateral dot-to-dot – answer
(printed sheet available)
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Puzzle 6
2
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Quadrilateral hexagon
– answer
rectangles
next
rhombuses
x6
x3
kites
x3
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Overlapping squares
answer
Eight identical square sheets of paper have
been put down on a table, overlapping as
shown. The top sheet has been numbered '1'.
Number the other seven pieces in order from
top to bottom.
x6
x6
x6
x6
x6
x6
arrowheads
x6
x6
trapezia
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Puzzle 6 answer
Overlapping squares
– answer
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Puzzle 7
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Triangle sticks
You can make a
3, 6, 7 triangle
using three of
these sticks:
The diagram below shows the answer, or go
back to the question page to move the sheets
of paper and see for yourself.
3cm
3cm 6cm 7cm 9cm 10cm
back to
question
answer
6cm
7cm
What other triangles can you make using the
sticks shown?
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Puzzle 7 answer
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Puzzle 8
Triangle sticks – answer
You can only make triangles where the two
shorter sides sum to more than the length of the
longer side.
The only possible triangles are:
3, 6, 7
6, 7, 10
3, 7, 9
3, 9, 10
6, 7, 9
6, 9, 10
7, 9, 10
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Puzzle 8 answer
3