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Which of 1232, 772 822, 1612, 1092 would end with digit 1?


The squares of those numbers end in 1 which end in either 1 or 9. The squares of 161 and 109 would end in 1.

Property 3. When a square number ends in 6, then the number whose square it is, will have 4 or 6 in its unit place.

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Write five numbers which you cannot decide just by looking at their unit’s digit (or one’s place) whether they are square numbers or not.


Find the perfect square numbers between (i) 30 and 40 and (ii) 50 and 60.


Which of the following numbers would have digit 6 at unit place.

(i) 192 (ii) 242 (iii) 262

(iv) 362 (v) 342


1. Can we say whether the following numbers are perfect squares? How do we know?

(i) 1057 (ii) 23453 (iii) 7928

(iv) 222222 (v) 1069 (vi) 2061

Write five numbers which you can decide by looking at their one’s digit that they are not square numbers.


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