Puzzle 1
Below you will find 15 well-known six-letter words, with only their endings remaining.
Can you find the words?
---rix
---osy
---few
---oze
---uum
---wth
---nda
---nis
---tem
---pod
---reo
---hom
---gan
---amt
---gen
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: M, C, C, S, V, G, A, T, S, T, S, F, S, D, O.
Answers
---rix = matrix
---osy = choosy
---few = curfew
---oze = snooze
---uum = vacuum
---wth = growth
---nda = agenda
---nis = tennis
---tem = system
---pod = tripod
---reo = stereo
---hom = fathom
---gan = slogan
---amt = dreamt
---gen = oxygen
Puzzle 2
Can you add two lines to complete this sequence of towers?
Note: this puzzle is not interactive, and cannot be clicked.
Puzzle Copyright © Lloyd King
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Hint
Look at the tops of the towers.
Answer
Add the two lines to the second tower from the left to complete the 'X' in the inverted letter sequence U, V, W, X, Y forming the towers' roofs.
Puzzle 3
How many squares of any size on this chessboard do not contain a rook?
Puzzle Copyright © Kevin Stone
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Hint
How many 2 x 2 squares are there?
Answer
There are 93 squares without a rook.
Reasoning
There are 60 squares of size 1 x 1.
There are 33 squares of size 2 x 2.
Giving a total of 60 + 33 = 93 squares.
Puzzle 4
What value of X makes the following correct:
Puzzle Copyright © Kevin Stone
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Hint
The answer is a whole number less than 10.
Answer
3.
Reasoning
We can multiply throughout by 12,
X X X X
- - - + - = -
X 2 4 12
to give:
12 − 6X + 3X = X
12 − 3X = X
12 = 4X
3 = X
As required.
Double-Checking
3 3 3 3
- - - + - = -
3 2 4 12
1 − 1.5 + 0.75 = 0.25
0.25 = 0.25, which confirms that 3 is correct.
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