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IMSO 2007 Mathematics - International Exploration Question 1

IMSO Maths · IMSO 2007 Mathematics - International Exploration

Question 1

Positive numbers are written in order beginning with 1 in the pattern shown. A cross encloses five numbers; the example has centre 25.

Question illustration

(a) The sum of the numbers enclosed by a cross with centre 72 is 361. What is the sum for centre 75?
(b) What is the largest number enclosed by the cross with centre 103?
(c) A cross encloses numbers with sum 1151. What is its centre number?