Brainteasers

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

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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