Puzzles & Problems (1)
1. Colouring Triangles
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The diagram shows a square with its two diagonals drawn.
The diagonals split the square into four regions (right angled triangles).
Some of the triangles can be shaded to make different patterns.
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I can shade 0, 1, 2, 3 or 4 triangles to make patterns.
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Three different patterns are shown below.
How many different patterns can be made in total?
2. Counting Sheep
Everybody knows that sheep have four legs and chickens have two legs.
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A farmer’s sheep and chickens have a total of 99 heads and legs between them (That is all of the legs of both animals added to all the heads of both animals).
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The farmer has twice as many chickens as sheep.
How many chickens are there and how many sheep?
3. Missing Vowels
Can you identify the mathematical words that have had their vowels removed:
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QLTRL TRNGL
PRLLLGRM
PLYHDRN
RCPRCL
NFNTY
QDRTC QTN
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VRTX
PRCNTG
LGBR
VN NMBR
CTGN