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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\04_Unit Test_1\Unit Test -1
\ 07-Jan-2025 Bharat Arora Proof-2 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

2
1. The absolute value of − is .................
5
−a
2. Multiplicative identity of is ................
b
3. Solution of equation 12 + 2x = 32 is ................
4. The measure of each exterior angle of a regular polygon of 12 sides is ................

5. If the ratio of two adjacent sides of a parallelogram is 5 : 3 and its perimeter is 56 cm, then
the lengths of its adjacent sides are ................ and ................
C. State whether the following statements are True (T) or False (F).

−1 −4
1. <
6 9
−16 −4
2. Standard form of is .
25 5
3. In the equation 2x – 6 = 4, transposing –6 and 2 to RHS, we get x = 5.

4. Sum of interior angles of a pentagon is 540°. 90°
5. In the given figure, the value of x is 110°. 50° x

D. Attempt the following questions. 110°
1. Verify the associative property of multiplication for the given rational numbers: a = –1,
3 5
b = , c = .
4 8
32  23 22 
2. Simplify + × .
5   11 15  
3. The present age of the father is four times the age of his son. After 10 years, the age of father
will become three times the age of his son. Find their present ages.
2x − 3 3x − 5 3
x
4. Find the value of x in the equation: − =+ .
4 2 4
5. Find the value of x in the following figure.

E E
90°
60°
E

A 90°
∠1 C x
B 40°

6. The four angles of a quadrilateral are in the ratio 3 : 4 : 5 : 6. Find the angles.
7. If the opposite angles of a parallelogram are (4x + 5)° and (60 – x)°, then calculate all the
four angles of the parallelogram.

8. Construct a parallelogram ABCD such that AC = 10 cm; BD = 6.4 cm and an angle between
them is 60°.

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