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E:\Working\Focus_Learning\Math_Genius-8\Open_Files\08_Unit Test_2\Unit Test-2
\ 06-Jan-2025 Bharat Arora Proof-3 Reader’s Sign _______________________ Date __________

B. Fill in the blanks.

1. The difference between the upper and lower limit of a class interval is called the .................
of the class interval.
2. The total number of outcomes when a coin is tossed is ..................
3. In a throw of a die, the probability of getting the number 7 is ..................

4. There are ................. perfect squares between 1 to 50.
5. The value of 10024 – 10023 is ..................
2
2
C. State whether the following statements are True (T) or False (F).
1. The probability of getting a prime number is the same as that of an even number in a throw
of a die.
2. The square of a natural number (other than 1) is either a multiple of 3 or exceeds a multiple
of 3 by 1.
Value of the component
3. The central angle for a component = Total value × 180 °
4. The cube root of 2700 is 90.
5. The cube of the numbers having digits 0, 1, 4, 5, 6 and 9 at its ones place are the numbers
ending in the same digits respectively.
D. Attempt the following questions.

1. The weights (in kg) of 30 students of a class are: 39, 38, 36, 38, 40, 42, 43, 44, 33, 33, 31, 45,
46, 38, 37, 31, 30, 39, 41, 41, 46, 36, 35, 34, 39, 43, 32, 37, 29, 26.

Prepare a frequency distribution table using one class interval as (25–30), 30 not included.
(a) Which class has the least frequency? (b) Which class has the maximum frequency?

2. A letter is chosen from the word ‘GENIUS’. What is the probability that the chosen letter is
a vowel?

3. Study the given histogram and answer the
questions that follow:
(a) How many students have height less
than 140 cm?
(b) How many students have a height
greater than 140 cm but less than
155 cm?

4. Find the Pythagorean triplet whose smallest
member is 12.
5. Find the smallest and greatest 4-digit
numbers which are perfect squares.

6. Find the square root of 4290.25
7. A ladder is placed with its foot 8 m from
the bottom of a wall which is 15 m high.
The top of the ladder just reaches the top of the wall. Find the length of the ladder.
8. Is 26244 a perfect cube? If not, by which smallest number should it be divided so that the
quotient is a perfect cube?

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