Unit Test: Real Numbers

# Unit Test: Real Numbers | Mathematics (Maths) Class 10 PDF Download

Time: 1 hour

M.M. 30

Attempt all questions.

• Question numbers 1 to 5 carry 1 mark each.
• Question numbers 6 to 8 carry 2 marks each.
• Question numbers  9 to 11 carry 3 marks each.
• Question number 12 & 13 carry 5 marks each.

Q1: Which of the following numbers is irrational?  (1 Mark)
(a) √25
(b) 3.14
(c) 0.333...
(d) -7

Q2: What is the value of (5² + 12²)?  (1 Mark)
(a) 169
(b) 144
(c) 25
(d) 169√2

Q3: Which one is not a prime number?  (1 Mark)
(a) 1
(b) 2
(c) 3
(d) 5

Q4: State whether "√16" is a rational number or not.  (1 Mark)

Q5: Without performing the actual division, state whether "1089" is divisible by "9" or not.  (1 Mark)

Q6: Determine the value of "p" if "p" is a prime number and (p + 3) is a composite number.  (2 Marks)

Q7: Express 0.37 as a fraction in its simplest form.  (2 Marks)

Q8: Find the LCM (Least Common Multiple) of 15 and 20.  (2 Marks)

Q9: Prove that the square of any positive integer of the form (5k + 1) is one more than a multiple of 8, where "k" is an integer.  (3 Marks)

Q10: Find the HCF (Highest Common Factor) of 72 and 96 using the prime factorization method.  (3 Marks)

Q11: Given that p is a rational number and q is an irrational number, prove that their sum (p + q) is an irrational number.  (3 Marks)

Q12: A circular garden has a circumference of 44 meters. Find the area of the garden (in square meters) using the formula for the area of a circle. (Take π = 3.14).  (5 Marks)

Q13: Prove that 5√3 - 3√75 is an irrational number.  (5 Marks)

The document Unit Test: Real Numbers | Mathematics (Maths) Class 10 is a part of the Class 10 Course Mathematics (Maths) Class 10.
All you need of Class 10 at this link: Class 10

## Mathematics (Maths) Class 10

120 videos|463 docs|105 tests

## Mathematics (Maths) Class 10

120 videos|463 docs|105 tests

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