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\ 06-Jan-2025 Bharat Arora Proof-7 Reader’s Sign _______________________ Date __________

d. State whether the following statements are True (T) or False (F).

2
2
2
1. (x, y, z) is a Pythagorean triplet, if x + y = z .
2. The square of an even number is always odd.
3. A number ending in odd number of zeros is never a perfect square.

4. The number of digits in the square root of 264196 is 3.
5. Square of 87 will end with the digit 9.
E. Answer the following:

1. Find the square of each of the following numbers:

(a) 21 (b) 33 (c) 1.4 (d) –0.5
2. 9216 plants are to be planted in a garden in such a way that each row contains as many plants as
the number of rows. Find the number of rows and number of plants in each row.

3. A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and
number of columns remain same. Find the minimum number of plants he needs more for this.
4. A ladder is placed with its foot 5 m from the bottom of a wall which is 12 m high. The top of the
ladder just reaches the top of the wall. Find the length of the ladder.

5. The student of class VIII of a school donated `10,201 in all to Prime Minister Relief Fund. If each
student donated as much amount as the number of students. Find the number of students.
6. Reema has some candies. She distributed these candies among 12 children in such a way that she
gave 1 candy to first child, 3 candies to second child, 5 candies to the third child and so on. Find
the total number of candies Reema had.

.
7. Rohit solved the question as 09. × 16 = 0.3 × 0.4 = 0.12. Identify the error done by Rohit and rectify
it.

8. Sumit is studying in class VIII of a reputed school.
He is very good at sports too. He was playing
two games for his school team, Taekwondo and Case study
Kabaddi. His Taekwondo court is of square shaped
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area = 110.25 m ; while his Kabaddi court is of
rectangular shape whose length is 3 m more than
its breadth. The perimeter of the kabaddi court is
5 m longer than that of the taekwondo court.
(a) Determine the length of each side of square shaped Taekwondo court.

(b) What is the length of Kabaddi court?

(c) Find the area of the Kabaddi court.
(d) Write the perfect square which lie between the area of taekwondo court and that of the
Kabaddi court.

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