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 numbers 12 & 13 carry 5 marks each.
Q1: What is the product of a rational and an irrational number? (1 Mark)
(i) Always an integer
(ii)Always a rational number
(iii) Always an irrational number
(iv)Sometimes rational and sometimes irrational
Q2: What is the value of (256)0.16 X (256)0.09? (1 Mark)
(i)4
(ii)16
(iii)64
(iv)256.25
Q3: Add 2√2+ 5√3 and √2 – 3√3. (1 Mark)
Q4: Simplify: (√3+√7) (√3-√7). (1 Mark)
Q5: Are the square roots of all positive integers irrational? If not, give an example of the square root of a number that is a rational number. (1 Mark)
Q6: Find five rational numbers between 3/5 and 4/5. (2 Marks)
Q7: Rationalise the denominator of 1/[7+3√3]. (2 Marks)
Q.8: Simplify: (2 Marks)
(i) 72/3.71/5
(ii) 101/2/101/4
Q9: Find three different irrational numbers between the rational numbers 5/7 and 9/11. (3 Marks)
Q.10: Represent √(9.3) on the number line. (3 Marks)
Q11: Locate √3 on the number line. (3 Marks)
Q12: Find the decimal expansions of 10/3, 7/8 and 1/7. (5 Marks)
Q13: What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17? Perform the division to check your answer. (5 Marks)
You can find the solutions of this Unit Test here: Unit Test (Solution) : Number Systems
40 videos|563 docs|57 tests
|
1. What are the different types of number systems used in mathematics? | ![]() |
2. How do you convert a binary number to decimal? | ![]() |
3. What is the importance of understanding number systems in computer science? | ![]() |
4. How can I practice converting numbers between different systems? | ![]() |
5. What are common mistakes to avoid when working with number systems? | ![]() |