Page 175 - Math_Genius_V1.0_C6_Flipbook

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\ 06-Nov-2024 Bharat Arora Proof-8 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

1. ................. is a triangular number as well as a square number other than 1.

2. Points that lie in the same plane are called .................. points.

3. 636 is a ................. number.

4. Tally mark is recorded in bunches of ....................
5. The smallest 2-digit prime number, sum of whose digits is 10 is ..................

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

1. Every prime number is an odd number.

2. Each number is the smallest multiple of itself.
3. In a bar graph, each bar represents only one value of the numerical data.

4. Two parallel lines always intersect at one point.

5. The numbers 17 and 19 are called twin primes.

D. Attempt the following questions.

1. Find the prime factorisation of following using a factor tree.
(a) 172

(b) 148

2. Three tankers contain 891 litres, 1215 litres and 1377 litres of diesel respectively.

Find the maximum capacity of a container that can measure the diesel of the three containers
an exact number of times. S R

3. In the adjoining figure:
n m
(a) State the midpoints with the corresponding sides. T N
l
(b) Identify the lines which are perpendicular
P L Q
bisectors of the sides.
4. Read the clues and solve the problem: Th H T O
• I am a 4-digit palindrome.

• I am an even number.
• My ‘T’ digit and ‘H’ digit are same and it is the second smallest positive odd number.

• My ‘O’ digit and ‘Th’ digit are same and it is double that of the ‘T’ digit.
Using the above clues, what number will be filled in the box provided alongside.

5. Replace ‘*’ with a smallest suitable digit, so that

(a) 52*664 is divisible by ‘3’

(b) 2848*9 is divisible by 11

173 Model Test Paper – 1