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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\11_Unit Test_3\Unit Test -3
\ 05-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

10. Assertion (A): Perimeter of a regular hexagon of side 15 cm is 90 cm.

Reason (R): The perimeter of any polygon, is product of length of its all sides.
B. Fill in the blanks.

1. Perimeter of a regular decagon is ...................... times its sidelength.
2. Area of square of side 3 cm is .......................

3. Fraction is called ...................... in Sanskrit.
21
4. Simplest form of is .......................
28
15 cm
5. Equivalent fraction of is .......................
2 m
C. State whether the following statements are True (T) or False (F).
1 3 23
1. On subtracting from , the result is .
9 5 45
2. Perimeter of any closed figure is the sum of lengths of the sides made up by line segments.
3. Unit of area of a figure depends upon the units of its dimensions.

4. 195 is a proper fraction.
17
5. Improper fractions always lie on the left side of 1 on the number line.
D. Attempt the following questions.

1. A square and a rectangle have same perimeter. If the side of the square is 20 cm and one
side of the rectangle is 19 cm, find the area of rectangle.
2. Find the area of the given figure.

8

4
4
3
2 2

4 2 3 1
3. Arrange the fractions , , and in ascending order.
9 5 4 6
3 3 2
4. Kamal spent 2 hours in playing, 1 hours in watching movies and 3 in studying. How
5 4 7
much time in all did he spend for all these activities?

5. The side of a square is 15 cm. How many times will the new perimeter becomes if the side
of the square becomes four times?
6. The cost of levelling a rectangular ground at `2 per sq. m is `900. If the length of the ground
is 25 m, then find the width.

1 1 1 1
9
7. Simplify: 3 + 4 − 5 ++
5 10 15 3
8. Consider the word ‘MATHEMATICS’ and answer the following questions:

(a) Find the fraction of vowels used. (b) Find the fraction of consonants used.

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