MATHS PUZZLES

KVD Technologies Maths Puzzles 5 Pieces 6 Shapes

5 Pieces, 6 Shapes

 

Use the five pieces to build either a triangle, or a square or a cross.  Can you also build a rectangle, a trapezium and a parralellogram?

KVD Technologies Maths Puzzles 16 Squares 5 Colours

16 Squares, 5 Colours

 

Arrange the 16 squares (4 green, 3 red, 3 white, 3 blue and 3 yellow) in a 4 x 4 grid so that no colour appears more than once in any horizontal, vertical or diagonal line.

KVD Technologies Maths Puzzles Binary Puzzle

Binary Puzzle

 

Arrange the 16 squares into a large 8x8 square so that each green square touches another green square and each yellow square touches another yellow square.

KVD Technologies Maths Puzzles Card Frame

Card Frame

 

Arrange the 10 cards to form a frame so that the number of diamonds on each side add up to 18.

KVD Technologies Maths Puzzles Hexagon Maze

Hexagon Maze

 

Arrange the 19 hexagons so that there is a path from the start to the end going through each hexagon.  There are 3 hexagons with a straight path, 9 hexagons with a 60 turn and 7 hexagons with a 120 turn. 

KVD Technologies Maths Puzzles Hinged Triangle

Hinged Triangle

 

Arrange the 4 shapes to form a square then rearrange them to form a triangle. There are hinges at A, B and D. 

KVD Technologies Maths Puzzles Magic Square

Magic Square

 

Arrange the numbers 1 to 9 in the 3 x 3 grid so that the sum of each row, column and diagonal is the same.

Magic Triangle

 

Arrange the numbers 1 to 9 on the triangle so that the sum of the numbers on each side of the triangle is the same.

KVD Technologies Maths Puzzles Magic Triangle

Pythagoras' Puzzle

 

Show that the 6 pieces will cover the area of the 2 squares BDEC and CFGA or the area of the big square AHKB.  This proves that a2 + b2 = C2

KVD Technologies Maths Puzzles Pythagoras Puzzle

Shunting Puzzle

 

Swap places:  move four yellow discs to the position of the 4 hexagons and the hexagons to where the yellow disks are – try to do this with as few moves as possible.  You may only move one piece at a time.

KVD Technologies Maths Puzzles Shunting Puzzle

Tangram Puzzle

 

Use the seven pieces, called “tans”, to build the shapes shown above.  All seven pieces have to be used and they may not overlap.

KVD Technologies Maths Puzzles Tangram Puzzle

Tower of Hanoi

 

Stack the discs neatly in order of size on one of the 3 pegs, smallest at top.  Move the entire stack to another peg, obeying the following rules:  Only one disc may be moved at a time.  No disc may be placed on top of a smaller disc.

KVD Technologies Maths Puzzles Tower of Hanoi

T-Puzzle

 

Arrange the four pieces to form the letter “T”.

KVD Technologies Maths Puzzles T-Puzzle

Triominos

 

Arrange the 21 Triominos (3 squares) and one 3 monomino (1 square) to form an 8x8 red and yellow chessboard.

KVD Technologies Maths Puzzles Triominos

Arrow Loop Puzzle

 

Arrange the arrows in the 4x4 grid so that the path of the arrows forms a closed loop.  The dots indicate in which cell the next arrow must go.

KVD Technologies Maths Puzzles Arrow Loop
KVD Technologies Maths Puzzles Pentomino

Pentomino

 

The pentomino puzzle consists of 12 different shapes that can be formed with 5 squares.  Use all 12 pieces to build different size rectangles.

KVD Technologies Maths Puzzles Stomachion of Archimedes

Stomachion of Archimedes

 

Arrange the 14 pieces to form a square.  There are 536 different solutions

KVD Technologies Maths Puzzles Tessellations

Tessellations

 

A Tessellation is a repeating pattern of polygons that cover an area without gaps or overlaps.  Use the diamonds or triangles to tile the area with one of the patterns shown or create your own design.

Tri-Rhombi Puzzle

 

Two equilateral triangles joined together, form a rhombus with all 4 sides the same length.  The 9 shapes are all different and make up of 3 rhombi.  Assemble the 9 shapes to form a hexagon.  

KVD Technologies Maths Puzzles Tri-Rhombi Puzzle
KVD Technologies Maths Puzzles Magic Egg

Magic Egg

 

Use the 9 pieces to build an egg.  Once you've done that, reassemble them to show what sort of bird could have hatched from it.  All 9 pieces have to be used and they may not overlap. 

KVD Technologies Maths Puzzles Pythagoras Puzzle

Pythagoras' Puzzle

 

Show that the 6 pieces will cover the area of the 2 squares BDEC and CFGA or the area of the big square AHKB.  This proves that a2 + b2 = C2

KVD Technologies Maths Puzzles Pythagoras Puzzle

Seven Segment Puzzle

 

Arrange the numbers 0 to 9 in a 4 x 5 segment grid.

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Pythagoras' Puzzle