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Quiz of the Month (June 2008)

Hector C. Parr

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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 side-lengths of the other squares if A has side-length 3 cm.

2. Find a possible pair of values for the side-lengths of the other squares if A has side-length 4 cm.

3. Find a possible pair of values for the side-lengths of the other squares if A has side-length 5 cm.

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© Hector C. Parr (2008)

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