CENTRE for INNOVATION in
MATHEMATICS TEACHING

PENTOMINOES
Space-filling Problems 1


1. On the right is shown how 3 pentominoes (P, U and V) can be put together to fill a rectangle which covers an area of 15 squares.

Find at least two other ways of filling a rectangle of the same size with three pentominoes.

pentomino 3x5 rectangle
2. On the right is shown how 4 pentominoes (L, P, T and Y) can be put together to fill a rectangle which covers an area of 20 squares.

Find at least two other ways of filling a rectangle of the same size with four pentominoes.

pentomino 4x5 rectangle
3. On the right is shown how 5 pentominoes (L, P, T, U and X) can be put together to fill a rectangle which covers an area of 25 squares.

Find at least two other ways of filling a rectangle of the same size with five pentominoes.

pentomino 5x5 rectangle

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