Exemplar Exercise problems XXXII — task. Mathematics CBSE, Class 8.

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1. Put three different numbers in the circles, so that when you add the numbers at the end of each line, you always get a perfect square.

The three numbers are

,

and

.

2. A three digit perfect square is such that if it is viewed upside down, the number seen is also a perfect square. What is the number?

[Hint: The digits

$1$ ,

$0$ and

$8$ stay the same when viewed upside down, whereas

$9$ becomes

$6$ and

$6$ becomes

$9$ .]

The required number is

3.

$13$ and

$31$ is a strange pair of numbers such that their squares

$169$ and

$961$ are also mirror images of each other. Can you find two other such pairs?

The mirror image of the square number is

.

Answer variants:

$144$

$169$

$19$

$30$

$6$

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