Time: 1 hour
M.M. 30
Attempt all questions.
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)
120 videos463 docs105 tests

120 videos463 docs105 tests


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