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Shapes Puzzle 2 Maths Answers(形状拼图2数学答案)
Shapes Puzzle 1
The twelve pentominoes are shown on the left. On the right, they have been placed together in pairs. Can you show which
two pentominoes have been used to make each shape? (Each pentomino is only used once.) The solution can be obtained
logically, without any trial and error. Try to explain how you find your solution.
Shapes Puzzle 2
Since pentominoes proved very popular last month, here is another puzzle. The twelve pentominoes are shown on the left.
On the right is a shape which can be formed from four pentominoes. Divide the 12 shapes into 3 groups of 4, and fit each
group together to make the shape on the right (so you will end up with three copies of this shape, which between them use the
12 pentominoes. Try to explain how you find your solution. (Hint: look for key shapes which can only fit in certain places.
Shapes Puzzle 3
Paint 10 more squares black so that the 5x6 unit rectangle on the right is divided into
two pieces: one black and the other white, each with the same size and shape.
Shapes Puzzle 4
I have a piece of carpet 10m square.
I want to use it to carpet my lounge,
which is 12m by 9m, but has a fixed
aquarium 1m by 8m in the centre,
as shown.
Show how I can cut the carpet into
just two pieces which I can then use
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