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: Write a rational number between √5 and √6. (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)
124 videos457 docs77 tests

1. What are real numbers and how are they classified? 
2. How do you perform operations with real numbers? 
3. What is the difference between rational and irrational numbers? 
4. How can real numbers be represented on a number line? 
5. What are some common properties of real numbers? 

Explore Courses for Class 10 exam
