Puzzle 17
What number comes next in this sequence:
16 21 26 26 12 5 ?
Puzzle Copyright © Kevin Stone
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Hint
Try converting each number to a letter.
Answer
19.
From the alphabetical position of S, making the word PUZZLES.
16 = P
21 = U
26 = Z
26 = Z
12 = L
5 = E
19 = S
Puzzle 19
Which letter comes next in this sequence:
Y P I D ?
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Hint
Convert the letters to positions of the alphabet.
Answer
A.
The letters' positions in the alphabet are squares.
Y = 25
P = 16
I = 9
D = 4
A = 1.
Puzzle 20
How many squares, of any size, are on a board divided up into 6 squares by 6 squares?
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Hint
How many 1x1 squares are there?
Answer
91 squares.
Reasoning
Squares of size:
1 x 1 = 36
2 x 2 = 25
3 x 3 = 16
4 x 4 = 9
5 x 5 = 4
6 x 6 = 1
Total = 36 + 25 + 16 + 9 + 4 + 1 = 91.
