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E:\Working\Focus_Learning\Math_Genius-6\Open_Files\03_Unit Test_1\Unit Test -1
\ 04-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

1. Next number in the sequence 1, 8, 27, 64, 125, 216, ... is ................
2. Two lines are said to be perpendicular if the angle of intersection between them is .................

3. Only one line can pass through ................ given points.
4. The numbers 1, 5, 12, 22, 35, ... are called .................. numbers.

5. Fibonacci numbers are also called ................... numbers.
C. State whether the following statements are True (T) or False (F).
1. An angle whose measure is less than 90° is called an acute angle.

2. A polygon of 8 sides is called a hexagon.
3. When a line is perpendicular to a line segment and bisects it into two halves, it is known
as perpendicular bisector of the line segment.

4. Two angles are said to be supplementary if their sum is 90°.
5. 1, 4, 10, 20, ... are Fibonacci numbers.

D. Attempt the following questions.

1. ∠A and ∠B are supplementary angles. If ∠A is four times ∠B, then find the measure of ∠A
and ∠B.

2. Complete the following patterns:

(a) 9, 15, 21, ..........., 33, 39, ........... (b) 81, 72, 63, 54, 45, ..........., ...........
3. Find the number of right angles turned through by the hour hand of a clock when it goes
from 1 to 10.

4. Using a protractor, draw angles having degree measures:
(a) 85° (b) 115°

5. Complete the following pattern.
1 + 3 = 4 = 2 × 2

1 + 3 + 5 = 9 = 3 × 3
1 + 3 + 5 + 7 = 16 = 4 × 4
....................................................

....................................................

6. Look at the given figure. Mark a point:
(a) A which lies in the interior of ∠2.
1
(b) B which lies on ∠1. 2

7. Write any two numbers that can be written as the sum of two squares in two distinct ways?
8. In the figure given alongside, name
N M
(a) a straight angle (b) two acute angles 90°
30° 60°
(c) a right angle P Q R

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