28th April 2006 at 01:00
Puzzles to test mathematical skills, set by Anita Straker. Solutions below More brainteasers on

May Day

The most likely value of MAYDAYis 69.

So what is BANKHOLIDAYworth?

Ten tens make a dozen

Can you make a dozen by squaring ten?

T E N x T E N = D O Z E N Each of the letters T, E, N, D, O, Z stands for a different single-digit number. Find the values of the digits.

SOLUTIONS May Day (ages 6 t0 11) MAYDAYis 13+1+25 plus 4+1+25=69.

So BANKHOLIDAY is 2+1+14+11 plus 8+15+12+9+4+1+25=102.

SOLUTION Ten tens make a dozen (ages 11 to 16) 176 X 176 = 30976. TEN must lie between 100 and 317, since 317 squared is a six-digit number. Since NX N is a number with a units digit of N, N must be 5 or 6. T and E are different digits. Working systematically - omitting numbers with repeated digits - through the numbers 105, 106, 125, 126 ..., 305, 306, 315, 316, produces the result.

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