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 Quiz of the Month (June 2008)
Hector C. Parr
***
SOLUTION TO LAST MONTH'S QUIZ
1. 6, 14
2. 84
3. 8316
Notes.
1. a = 2b + 2
5b = 2a + 2, etc.
2. 10x + y = 7(x + y)
10x + y = 10y + x + 36, etc.
3. Write down multiples of 462 alongside corresponding multiples
of 341 until the results are the reverse of each other.
462 341
X 1 462 341
X 2 924 682
..............
X 17 7854 5797
X 18 8316 6138

THIS MONTH'S QUIZ
A, B and C are cardboard squares of different sizes, each with sides measuring a whole number of cm, such that their areas lie in arithmetic progression, i.e. the area of B lies midway between the areas of A and C.
1. Find a possible pair of values for the sidelengths of the other squares if A has sidelength 3 cm.
2. Find a possible pair of values for the sidelengths of the other squares if A has sidelength 4 cm.
3. Find a possible pair of values for the sidelengths of the other squares if A has sidelength 5 cm.

***
© Hector C. Parr (2008)
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